FA.CUlTY OF MATHEMATI

HANDBOOK 1979

THE UNIVERSITY OF NEWCASTLE. NEW SOUTH WALES 2308

LEGEND

llUltDINGS

AlH\/AllMINJ2>lRAllm;

iG -G -1-

lJNIVERSITY NEVV

Ie I G I

u; b

IIS,IIC ,~ p

I I

l_ '\:. ~~~--~

\ \

,r I \

FACULTY OF MATHEMATI

HANDBC)OI< 1979

THE UNIVERSITY OF NEWCASTLE NEW SOUTH WALES 2308

ISSN 0313 0010

Telephone ~-~, Newcastle 68 0401

One dollar fifty Recommended price

Preface

1 am happy to welcome to the Faculty of Mathematics all those studcnts who arc enrolling for the B.Math. degree for the first time, and to welcome back those people who are now in tlleir sccond or later years of study. I hope that we in the Faculty of J\'fathematics wil1 have the pleasure of extending this welcome, cvcntu~l1y, to at least some of the readers of this Handbook who may be undecided on their exact course of study, but who arc interested in smue field of mathematics and are prepared to consider enrolment in our Faculty. If any information which you seek is not obviously contained in these pages, or if you simply have general questions about yeur course of study or about aspects of mathernatic~;. please accept a standing invitation to discllss your questiollS with me. I expect thal a]l 111cmbcrs of the academic staff of the Faculty will be similarly able to help you with these questions.

Your desire to study routhematics is, I hope, based on the conviction that Inathcmatics will be the most enjoyable of all those disciplines open to you--thcre can be 110

better reason. H you enjoy mathematics you will welcome the demands it makes upon you and your studies will be Inost rewarding. 1 would like to cOl1llnend to you the essay on Mathematics by Professor E. C. Zeeman in the book University Choice (edited by Klaus Boehm) Pl'. 261-270, Penguin 1966.

Although Faculties of Jvlathenlatics are not Ul1COmlnOn overseas, particularly in universities which have been founded within the last twenty years, the Faculty of lVlathematics at the University of Newcastle was the first in Australia. This lead has now been followed by several other Australian universities.

It is probabJy still true that the most COmlUOl1 location for Departments cOJlcerned with ll1athclnatics in universities world-wide is in a Faculty of Science, This is an hbtorical reflection of the fact that Inathenwtics has been nssnciated most closely with scientific subjects, particularly the physical sciences, and has played a crucial part in their development, in the last 150 years, Before this period, Faculties of arts were the mo:-,t C0I1111lO11 homes for mathematics in universities, again for good historical reasons. The l'ch!tivcly recent arrival of l-:"acultic~; of Mathematics on the scene is evidence of thc increa~j1Jg recognition of a more modern fact: that mathcrnatics m!CI the use of mathematical Janguage aIld ideas have a place in a1J unjversity studies, and are Dot exclusive to anyone area. 'The iJest way in \vhlch we can do justice to this universality is to exist in n distinct Faculty of Ivlathematks having intcl1ectual links with all other disciplines.

Tn Ne\vcrlstlc \YC have given practical effect to these links by intl\.l(l11cillg programmes of study which lead to the award of the B.Math degree tugether with other first der,rees of the University. The other fields with which combined degree programmes have been available since 1975 are Arts, Science, Metallurgy and Commerce. 1'.1ore recently, we have put into effect arrangements for c01llbincd degree programmes ''lith Engilleering a11d \'lith Economics. The details of the joint degree COUIses which arc available this year a 1",; given ill the ~cction of this f bnclbook which begins ~rt

page 18.

The distinctive position that the l~'acu1ty of :M-athcmatics occupies has advantages for all students with an interest in mathematics who wish to work townrds a single degree. For those whose tastes arc \,pccifically l11athcmatical, the advantages scarcely need allY special comment. 1::"01' other people, who Inay realise the need for mathematical study [15 an adjunct to their principal subjects, we provide a variety of courfies, as set out in the fl)llcnvillg par,es. 'Vc are ahvays :tt1cntive 10 the advanc.es in l1wthcmat1cs and related subjects which Jl1ay make IlC\V or revised courses :necessary; evidence of this is C:1~Y t() find front a comparison of Ule contents of the proscn! Ifandbook with the contellts of previolls editions.

l"';ot all the areas of mathematical work which are of importa11ce to the Faculty have the word 1<1n:1tllcmatics'~ in their titles. Operations research (Hthe rnathematical description of what actually happens! rather them of W113t ought to happen", according to one of the originator,s of the subject) is OlIC example. '1'wo others, ill which the

Faculty's activity ig being expanded substantially at present, are statistics and computer science. For several years the Faculty has offered a postgraduate Diploma in Computer Science, and in 1977 it introduced the undergraduate subject Computer Science II. Our range of undergraduate studies in computer science was completed in 1978 by tho presentation of the new subject Computer Science III. A similar extension of our undergraduate otrerings in statistics in being provided in 1979 with the introduction of Statistics III. Hoth of these areas, of course, provide points of contact between l1mthcmatics and many other subjects. For that reason, nlatllCnlaticians with special knowledge of C01nputer science or of statistics can expect to be citizens whose special skills will always be in demand.

University education is not merely a question of attending courses. The University provides an enviromnent in which your self?education can take place. Natnrally, courses arc part of the environment, but not the whole of it. The lecturer and the laboratory are not the only sources of information; you can reasonably expect to gain as much frorn discussions, debates and arguments with your fellow-students as from them, because this type of interaction allows you to tryout on other people with similar concerns your ideas about what you are learning. By "learning" I mean your appreciation of how the material you meet in your formal courses fits into a wider understanding of the world and of its problems. If yon see your University education in this light, you can deduce that you should take every opportunity to broaden your outlook while you are here. 'l'he various student dubs and associations in the University provide one type of opportunity. There is another opportunity in the wide range of interests of your fellow-students; it is a better policy to find your friends and acquaintances at the University in a variety of studies than to confint!l yourself to lneeting only with people whose courses arc the same as yours.

1 repeat lilY earlier welcDme to you all, and wish you an enjoyable and constructive stay at the University.

4

R. W. ROBINSON,

l)caJl t l?acu-Uy fif l\iuthcuuiih.:§

Faculty of Mathematics

The .:olony baud Oil tbe spine of tbis Handbook is the colour of the bood worn by Bachelors of Mathematics of this University

Page

6

7

7 g

8

9 11 12 13 16 17 17

18

23

25

26

28

n 76 83

g.l 9()

94 112

124

126

J26 131 139

142

145

Preface

Faculty Staff

A guide to students

Review & exclusion

Knowledge of teachers in specific subjects

Prerequisites for Curricululll & Method subjects in the Oiploma in Education

Bachelor of Mathematics··~Hcqnirc1l1ents

General Ordinary Degree Honours Degree Combincc\ Degree Courses Schedule A Schedule B Schedule C

Notes on Combined Degree Courses

Diploma in Computer Science

Diploma in Mathematical Studies

Master of Mathematics

Description of !lnbjects

Note on subject entries

-Requirements

HA(;mnA.m. OF MAUULMA'HC§

Schedule A

Mathematic; Subjeds

Part J

Part ]I Part III Part TV

Computet' !Science Subjcds

Part II Purl IlJ

Statistics TIl

Sc1lcdu\e B

;)c11cdule C

P,nl T Part ]I Part Tll

nn'J~OMA IN f;OMIl'UTEU §CUCNCE

Schedule of Subjects

Subjects overlapping in content

Uc§ciiptioll of t)nhjfRih

G·roup I Group Jl Group III

Research in the Department of ivlathcmatics

Computer lncmbers

5

ne~H

ProfccsOf R. W. Rob.insOll, BA. M.A(Dartmou!h), Ph})(Cornc1l)

Professor W. Brhley, llSC(Sy<lllCY), MSc(New South Wales). PhD; DipEct England)

}tac!!Uy fieel'elll'Y Linda S. J-Tarrignn, .BA

1~~'Dfefi:;ol'N

R. O. l<cats, nsc. PhD(AdelHi(k)~ FIJ\1'A, 1',ASA H. W. \{obilison, }lA, MA(Dart!llOllth), l'hD(Corncll)

Am;{H.~h-:~t~~ Professors W. Brislcy, IlSc(SydllCY), MSc(Ncw South Wale:;), PhD; I)ipEd(Ncw England) C. A. Croxton, BSc(l.ciccslcr), MA, PhD(Cmnhridge) J. R Giles, HA(Sydney). PhD; DipEcl(Sydncy) A. J. Guttmann, MSc(MelboufHc), PhD(Ncw Sonllr Wales) (Head of VCl'mtmc))O W. D. Wallis, BSc, PhD(Sydncy)

fl~)r.{or »~ectur~R't;

,'\II11et(C J. Dobson, HSc(Adehide), MSc, PhnOm"cs Cook) V. l-<'kkcl', IlrornJ\Jat, esc, RNDr(Comellius) R. W. Cliburn!, HSe, Pl1D(Adchidc) W. T. F. Lan, ME(Ncw South Wales), PhD(Sydncy), MA1AA n. L. S. McElwain, BSc(Queens]and), PhD(York (Canada) ) T. K Sheng, BA(Marian College), lJSc(MalaYit & London). PhD(Mabya) p. K Smo:, PromPhys, CSc, RNDr(Chades) It J. Vaughan, HSc, MbngSe, ME(Ncw South Wales), l'hD(AdcJaidc), r:SS :!r,co:.i~~W·k',g

R. F. JlCI'GhOllt. M~ie(SytlllCY) D. W. H. BlaH, HSc(CompSc), BSe, Pl1D(Sydnc),) J. ii·. Coupel', Bile. PhD (New Enf'lanel) l~. )3, Eggleton, BSe, lVIA(MclbOl~lnc), PhU(CaJgfuy) Tvt J. Jlayes, JJA(Camurldge) '\;\,y, ;~ulll1ncrfield, nSc(Adc1:1idc), PhD(l:}jnders) W. P. "Vooel, W>r;, PhD(i'kw South 'Vale,)

C. J. Ashlllnn, H.A, UttB(Ncw F."glnud) n-, 'V. SOllthcr.n" HA(T"1cw SOH'ih "V':lk~,), l1ipCnmpSc

'~'(~a~hh~l~ A:'}sitlhmts (', }{oskins, HMaHl J,.nllisc Morris. rnvfath 1\t,li':\ftlrt l\. PHdlcr, l\1~)cU;J'dl1ry)

S. (!lJtnu, H:rvfath ShljlJJl, r{~k, n .. l\{hllnc11 CnnL). 'j )ipCnnlp,t"k

Honornry A."i,tjndiJta~

f. L. Rose, BH(SYc!llCY). I'lll }(Ncw ~;olTth \V:~1c~)

Cnn.lput~~l' }iP!'ognnnHJ.Ck'

A. NYlIlcyel', 1JM3!\], DipCowpSc

nc~·W:~·tulcHinJ Ofi'i(:c Bian' Ijna Iuliano Julie H. Latimer Anilo IvY. 1\1"d(im 'Vicki 1\l. Piller Rao Pease,nEd (ivlitchcll CAE)

Students arc invited to disc-lIss their illtcrcsts in a p,nlicular branch of rnn.thcmatics 'Nitl:, members of 1h(~ Department \'\'110 are working in that hranch. The appropriate sinh mctubers for branch 111ay be detennined by reference to the section entitled "R(';-;carch ill the of MathcHwtics" P. 1.42,

6

A Guide to §tullent~ J":nrolling in the Course IA:luling til the ne~ree Ill' BacheIOl' of Mathematics

J. The requirements for the degree allow for up to four of the nine subjects to be chosen from subjects offered in other degree courses. Subjects which havc been approved m the past are listed below.

.P:u·t J! Part III Ac('{)untillp.; I Hiulogy I ChemistJy I Classical Civilisation I Dnnua I Economics 1A English I French IN Of IS Geography I

Geology German IS Of IN Greek I History I Japanese I Latin f l.egal Studies I 1,1l1guistics I Philosophy I Physics fA Of IH Psychology I Sanskrit I Sociology I

Biology IIA, JIB & IlIA Chemistry JIA Classical Civilisation II Economics lIA & UB Education II Electronics & JnstrlllYlcntatio!l n English IIA French IIA Geography HA, lIB, lIe & IIJIl Geology IIA & IIB History JIA, TIB & He Jap'"1CSC IIA Legal Studies JlA Philosophy ITA & UB Physics II Psychology llA & un

2. Enrolment in the following subjects is restricted as indicated below. Accounting l··~· Students who include this subject in their course as a Part I subject are advised to discuss with the Dean the pOGgib-· iliiy of including Accounting UA or Accounting HB in their Part II subjects. However, both Accollnting ITA and Accounting nn must be passed to gain credit for ('DC Part 11 snbject; in cxcep .. tional cascs OIlC of thcse subjccts pIllS additional work, c.g. ]\1athc .. malics lIB Part (j), may hr. ac(:eptahle. Fcol1omics llA· Students should also include thc Part n Mathe· matics Topic 10J, Probahility and Statistics, in their course. Fcollol11ics llB .o~o This subject would not normally be included in the Bachelor of Mathematics course. However if permission is r,iven to include this subject then the content should be discussed with the Dean. A sfudent may not include both Physics 1A ilnd Physics m in his C(lIH'se.

Permission will normally he given for till' inclusion in a student's course of subjects which are prerequisites or corcquisites of subjects appearing in thc schedules.

Review amI Jl~xchl§i{ln ill the li'm~IlHy of. Matl1ematicB

(1) Under By<olaw 1) it i,; required that i! full"time student :;ball havc passed at leost four subjects at the end of the second year of attendance.

(2.) Under By~law 5.4.2.2(7.) it is required that a part .. time student shall have passed at least four subjects at the end of the fmlrlh year of attendance.

(3) The Faculty Hoard will review all cascs of students, who have failed 10 pass at least four subjects after one full-lime and two pmHime years, and may take actioll under By-law 5.4.1.2.

(4) The Faculty Board will review all cases of students, whether part~tirrw or full-tirne, who in their first year of attendance have a record of: complete failurc and may take actiou under By-law 5.4.1.2.

(5) Unless there are .justifying rca sons, failure in a cowpu!:mry sub­ject for the second time automatically excludes a student from that subject under By,law 5.4.2.1 and exclusion from a compul., sory subjcct autornatically cxdudes a student from thc dcgree course. The compulsory subjects am Mathematics I, J'vlalhcmatics HA, Mathematics He and Mathematies IlIA.

](l::nln'l'lcdgtl of 'P'elu:lmrs in Specific Subject!!

In 19"15 thc Senak of the University established a number of COlli ..

mittees to advise on thc level of University ~tU(Jie8 reqnircd to maintain an informed competence in particular diseiplines. These enquirics were particularly directed towards seeolldary school tcaching but their application is, in most cases, quite general. The advice tendered by the committees was accepted by Senate and is reproduced below.

Discil'U"" Classics Commerce &

Economics CJlg1ish

IIisto) y 1\1atlwmafics ]\'Toc1cnl LnnB'lagCt;

.science

lLc\'c] uf t:itmly UCfommcHdcd

A Hlnjor in Latin or Greek with some studies ill both fwo years (preferably three) of Economics including

Economic::; n or 1l A; Accounting: I and Legal Studies L 1\ major in En!!1ish, t.ogether ,vith one addiHomli sub.iect

chObcn front English, I)J'3nta or Lingnistics Urography IJA, Geography nil. Geogmphy IlC, Geography

IlTA. An Honours Degree ill Geography would be of consid­erable benefit

At least two, preferably three. {'ourses in Hiotnry ivlathcmatics UIA a~; a Inillhnll:m l<1<::ally an I-Ionours Degree i11 the foreign langllilge proposed)

together with a period of residence in the apppropriatc foreign country

A Part III subject in the relevant science. together with 001110 breadth in scicntifk disciplines

~'i'!'n:€Jl!!rii"{'n for CmricuIum alld IVI.eti1od SulJj0!"ts Ol}'~n)d ill ill!' Dil,ionm hi ]~dllC~!fioli

Students in the Faculty of Mathematics who are intending to study Lor the postgraduate lJjploma in Edm;atiol1 may be interested in the following prerequisite subjects for that Diploma. It will bc Hoted that any graduate holding the degree of Bachelor of Mathcmatics possesses 1he prerequisites required for t11<; Diploma. in Educatiou and the preH~(lllisHcs for at leaN! OllG euniculum and method subjeGt, namcly Mathematics. These pnTequisites am stated in terma oj' subje,~ts of the University of Newcastle. Applicants wIth qualifications from other universities, whose courses of study have included subjects whkh are deemed for this purpose

8

to provide an equivaJent foundatiou, may b(~ admitted by the Dean of the Faculty of EducUition on the recommendation of the Head of the Depart­ment of Educatio1l. Snbjedg

(,,) l'l,glhh

(b) History

(c) Modenl Languages

(d) Classics

(e) Geography

(1) Commerce/ Economics

(g) Social Seiclle!:;/ Studies

(It) i\latlJ{,,-rnHtiL';;

(j) Primary

i-'l'Cl'e41ui!;ih~.':i

(il A Pail 1 & Parl n subject ill ['1l~jLh;

and. (ij) one additional subject frotn English, Linguistics or

:Orarna

A Part II subject in History

A Jlaft III subject in a rnodern language

A Part III subject in Greek or Latin

A Part HI subject in Geography

n.A. including Economic~~ JlA ~H' H, Corn. including Economics 11 ot' D.Ec. i11cluding Economics 11

and

Out or Economics. Geography, History. Psychology, Sodology, I_egal Studies, E<:oIwrnic History

one subject at Part II level

t.wo other subjects at Part I level

(i) At. least fOlIr ~ubject3 ill A1athem,jtiC'i for th0 deen-'c of B.A., B.Muth., or n.Se.

O!:

(U) .A degree in a field applied science, with experience in the application mathclnatic~

(i) Three subjects from the disciplines of Biology, Cllcmic;(ry, Geology, Physics, or related . iields of applied sci~~nce, such subjects to be drawn 11'o1'n at least two of the disciplines of Biok'gy, Chernistry, Cicology, Physics

and (ii) at least OllC other 1:,nbject dra\vll frotn all.Y of the ~lh()ve

Of frOln IV{athemalics. Geography, or 1~8ychology

No spt'ciric prerequisites.

() in II

SClrn0

in

REQUlfU"'-MfENTS FOR. 11IE lJEG1U,'!,,' OF BACHELOR OF MA1'11EMATlCS

1. Definitions In these Requirements, unless the GOntexl or subjccHnatter otherwisc indicates or requires, "the Faculty" means the Faculty of Mathematics, "the Faculty Board" meHns the Faculty Board of the Faculty of Mathematics and "lhto De au" means tIlt' Dean of the Faeulty of Mathematics.

') Grading 0/ Degree TIw degree of Bachelor of JVlathematics may be collJerrcd either as an ordinary degree or as an honours degree.

'\ Approval oj First Elllo/lIlellt

A canuidate when cnrolling ill the Faculty for the first tinw shall report in person 10 the Dean, or his nominec, to have his (enroJ­ment for lhat year approved.

4. J'imctabl" Requirements

No candidate nlay ellrol ill allY year for allY combination of subjects which is incompatible with the rcquirenlf'llIs of the timetable for thai YC::ll.

5. Annual Lxaminatiofl.I'

The Annual Examinations shall normally be held al the end of third term and shall be conclueted by means of written cxamjn~ti()ns supplemented by ~;lleh oral or practieal work as tlw amincn; think fiL

6. Special L.wminotiolls

A candidate may be granted ,J spccinl ex.amination ill :1CcortiaJlce with the provisiollS or the ExaminatiLlll Hegul:,lion".

7. A. Subject

(a) To complete a subject qnalifying tllwarci:; (he IWli.:in~

after called a subject, a calldidate shall ;lUCile! sllch lee! I,res, I tHorials, seminars, laboratory classcs and field work ,11](:

submit such wriHen work ,IS the Deparlment cOllcerned slwll require.

(b) To pass it suhject a candidate shall satisfy th(: requiremenls of sllb"seetion '/(a) above and pass snch examinatioIls ;1';

the Faculty Board cOllcet'llcd shall rcquirc.

8. Withdrawal

(a) A ci\wlidiile lilily wilhdr~!\V .in\lll a subject ullly bv llClliLying the Secretary lo the University ill writing of his withdrawnl within scven days of the elate of withdrawal.

(b) A candidate who wi(hdraw~ after the sixth Monday ill secund term from a subject ill which he has enrolled shall ue deelned to have failed iu that subject. However, such a caudidate fHay apply to tile Dean, who, after cOllSultation with the Head of Department concerned, may allow him to wilhdraw witbom penalty.

9. l'rereqllisite.l' and COI'I'(jllisitel'

( I.) Except with the permission oj' the Faculty Iloard, granted after considering allY recommendation m"dc: by [h,.: Head of lhc Departmenl off(;ring a suhjecl, no candidate rna;; tnrol ill that subject unless he has passed lbe prescribed as ils prerequisitC'; at allY grade which may be specified and has already or concurrcn1iy enrols jl)

or is ;dreildy l'l1lolied in Ihe slliJjecl': prC'scl'iiled its "urtq Ilisi/(;s.

II)

(7,) A eandidate shall be deemed for the pl1l'pOSeR of sutH:lec1ioJ) (1) of this section to have passed snbjecJs in whkh he has been granted standing pursuant to Section :! 6.

10. Relaxing Clause

.In order to provide for exceptional cin:lmlstanC(;s arising ill par·· licular cases, the Senate, on the rcconunelldatioll of the Board, may relax any provision of these

11. Subjects Offered

(a) A candidate shall select at ]cast five of his Schedules appended to these with the rules rclalilli~ to the selection of the Schedules.

subjects from the and shall cornply

SCI' Ollt iu

(b) lit) to four subjects from those (JEered in other degretc COLlrses in the University may, with the permission of the be counted as qualifying subjects for the VVhen ~lp)Jro'ljng a subject, the Deim shall determine whcther the subject concerned shall he classified as Part f, Part n or P:n'l HI.

12. Degree Patterns

Except as provided ill Sect ion I 'J of I hc,,~ III

qnalify for the onlill~\ry ;1 C,llillidilll' ,~h;ill pas:; 1!IIIL'

subjects, including: (a) lvfathcmatics 1, 1Vlathcmatics lIA, 1'vlatllematics He :wd I"hl.tilematics lilA; :wolJ

(ll) lea,l one of Mathematics IIIB. Computer Science HI. Statistics III de o\'le 1!1 subject chuscll 11'0111 tll? Schcuuk:; to the HC'(!llireJ)J('Jlh,

j :), lJrogrcssion

(f\) in the course i:; A fuJi·til.lle student is required to pass tom subjects and a par1. cc lime stucieul i': reqnired to pass two subjects in the til st two yeaf~ of hi:; course, A parHime student is required to pass four in lhe 111'SI four years of his coursc.

I iJ) The following rc"Uietions on year! y course loads sll:lll nppJy. The Dean may, in individual eases, relax restrictions (i), (ii)' (iii), but only if he is satisfied that the acadcmic; merit of Ilw candidak warrants slIch relaxation.

(i) Nu one aClllcmic year i~; to involvt: 1i1lHt: tllalt fuul' ~jUbjl:cls.

(Ii) H ronr ~ubjccls are taken in flny Ie:1:"( thn'c of them IIHht be Part 1 ~uujcctSj a1ld none may HI slIbjrct.

(iii) If three subjects arc taken in ,wy on,; year, not more tlun twt) of 1henl may be Pan Hr ~ubjec[s.

l!j. lix{!millation (hades

'flIe results of successflli candid:tles at Alllll!:d EXmniuniilllls DJld SpeciaJ Exmninations shall be clas.;ified: 1 iigh Distinction, Distinction, Credit, I'a,':.

15. Time Requirements l<:xcept with the special permission of the Faculty Board, a candidate shall complete the Requirements for the ordinary degree within nine calendar years of the commencement of the degree course. A candidate who has been granted standing in recognition of work completed elsewhere shall be deemed to have commenced his degree course from a date to be determined by the Dean.

16. Standing The Faculty Board may grant standing under the following c()n~ ditiol1s. (a) A candidate may be granted standing in recognition of work

completed in another tertiary institution or faculty, r!'iJI'icled that:

(i) the subjects for which credit is given sh:111 have a H:asonablc corres­pondence with those offered in the Faculty;

(ii) an undergraduate of another tertiary institution shall not receive credit Jor fl101'e than four subjects;

(iii) a graduate OJ: diplOlnate of another tertiary institution or faculty shall 110t receive credit for more than four subjects and jf gnmted credit lllay not include as a qualifying subject any 5ubjc{:t eqUivalent to OIlt' l'ollilted towards his previous qualification.

(b) Notwithstanding the provision of section (it) (i) of this sub.,section, a graduate or undergmduate of another tertiary institution may be given credit for subjects nol offered for the degree oj' Bachelor of Mathematics in the University oj Nelveastle provided that: (0 the candidate complies Wilh all other cdndltions of the Requirements; (ii) the candidate has his propo'Sed pattern of course approved at the time

at which the concession is granted and docs not depart frl)lI1 the proposed pattern without the approval 01 the Dealt.

8edioill nl,-~ 'fbe JHomwl'§ Degree

17. Admissioll to Candidature for ihe HOllours Degree In order to be adrnitted to candidature for the Ho[]ollrs degree a candidate shall: (a) have completed the reLll.lirenwllts fur acimissiu]\ to the

ordinary degree; (b) have completed any additional work prescrihed hy the Head

of each Department conccrned; (;) have satisfactorily completed the prerequisitesprescribecl in

one of the Schedules of Subjects for a Part IV subject; ond (d) have obtained the approval of the Heac! of each Department

concerned. Application must be nJade by till: date in the Faculty Handbook.

1 g, '!'ime Requirements (n) Except with the special penmsslOll of the FaClllty Board, a

candidate for HOllours shall complete the requirements within five years from the commencement of his degree course (not cOllnting years for which leave of absence has Iwcn granted)

provided thal lor a part-time student the corresponding period shall be seven years. A candiciate who has been given standing in recognition of work completed elsewhere shall be deemed to have com-, IDeneed his degree course from il date determined by the Dean.

(b) The Dean may permit a part-lime candidate for Honours to GOmplete the Part [V wbjecl or subjeets over two successive years.

19. HOllours

To qualify for admission to the Honours degree a candidate shall satisfactorily complcte the Part TV subject in which he has enrolled.

20. Classes of HOl1ours

There shall be three classes of Honours, namely Class I, Class II and Class III. Class II shall have two divisions, namely Division (i) and Division (ii).

21. Medal

.1n each Part IV subject, including combined subjects, the Faculty Board may reeommend the award of a University Medal to the most distinguished candidate or candidates of the year.

2:2. Eq1livalellt HOllours

(a) On lhe recommendation of the Heads of the Departments concerned and with the permission of the Dean, a graduate may enrol in a Part IV subject as a full,time Of a partotinw student, provided that: . (i) he has not completed a Part IV subject in the disciplines

concerned at this or any other tertiary institution approved for this purpose by the Faculty Board;

(ii) he is not otherwise eligible to enrol in that Part IV subject pursuant to these degrce Requirements.

(b) Sllch a graduate who satisfactorily completes the Part IV subject shall be issued with a statement to tbis cffect by the Secretary; the slaiemenl shall indicate the Honours level equivalent to the standard achieved hy the student in the Part IV subject.

n. General

A candidate may compJetc the Requirements for the degree of Bachelor of Mathematics in conjunction with another Bachelor's dcgree by completing a combined course approved by the Faculty Board of the Faculty of Mathematics and the other Faculty Board concerned provided that:

(i) admission to a combined course shall normally be at the Gnd of the fIrst year and shall be subject to the approval of the Dean. of the two Facultles cOllcerncd;

(ii) acinJlfl:,iOJl to c('mbitH;~d cnlllGe~J wjJ1 lJe rcstdctcd to ')tudc::nb w11h a11 average of at least Credit level; .

(iii) Deans of both Facilities shall certify tbat the ,:ork in the. COlllb1l1ect rourfC i:, no 1e~,s in quantity and quality than Ii the two were taken separatdy;

(iv) till'. Requirements fnr 1101h dcp:fces ~ihall be satisfied except ~~ provided helow.

21J, A 1'1.1'/ 1I1at /tel1l(/fics

(a)

(tl)

It candjdate shall comply with all the provisions of the Rcqllirements for the degree of Bachelor of Arts other than Clause 12. and all (he Requirements for the degree of lhlchclor of lvf athcmatics. To qualify for admission to the ordinary clep,n~c~ of Bachclm of Arts and Bar:helor of lVlathematics, (I, canrlidate shall pa~s fourteen subjcds, five of which shall be Mathematics l, Mathematics Ill\, lVl.athcmalics HC, Mathematic:; fIT!\ and n)w of jvlathlomatic.'i !lIB, COJ11jllltn Science HI, Statistic'; HI or a Pari HI ~tJbjcct CllO'>Cll hom Ihe Schedules oj ~-:\lbjccts ,Ijlproved for thl' degree of B,l(:hclor of M,ltllC> malics and the rcmainder oj which shal! be chosen from the other sllbjccts listed in the Schedule of subjects ,rpproved for thc dcgree of Bachelor of Arts, prOl'ided Iho/:

(i) more thau three subject:; frot11 Gronp 11 of the Schedule of suh· approved for the degree of Bachelor of Arts tuuy l)c counted;

(ii) not more than five Part ] subjects oUl of the total fourtee1l may be cnuntctl;

(iii) nt least three sub.iccts ~haJl be P::nl rn ~ubkcts~ (iv) a camJjclate COUllttll't Psychology lIe ~,h,l1J not be c:ntitlcd tIl count

dther Psychology IIA or JIB; (v) a candidate counting Psychology Tile shall not be elltitled to COllllt

either P,.ychoiogy lIlA or Psychology lIlll; (vi) a cnndidate counting Econo!.nics Il}C s~wll not lJc entitled to COUllt

either FC0110mics fllA or EconOllllCS nIll. (vii);j candidate counting Geology UTe -. ~holl 110t iJC l'ntitled t() count

either Geology UIA OJ' (;C()\Ol'Y Hlh.

)5, J\Jatlwmatics/ Science After cOlYllJlcting the iir5i year of study towards cilhl;)' lh[~ d~~grec of Uacheh;r of Ivlathcmatics or the of Bachelor of ;)Clen.re including a P')SS at a sflti,.faelory level in t1l[; subjPc:t l~atlw,m.~ilcs r, a candidate mny cnrol in a com.bined Mathemaj?c~;/5)c!Cncc course. A eandidau; who has clll'Ollcd ill such a combmed cOlIl'se ,ball qualify for admission to (lie ordinary riquecs of Bacbclo.r of j\Tatlwln8,tics and Bachelor of ~cicn('c by passlI1g iomtcen subjects

as foJlows:

(a)

(b)

five M,lll1cmalics L lVlalhClllatics TI;\, Mathe", maticO', IlC, Mathematics UIA and one of Mathelnatics lIm, Compllj(;r Science Ill, Sialislics HI Of H Pari III ~i\1hjccl chosen from the Schedules of approved for Ihe degree of Bncilc]ol' of Matht\matics aild six subi('ct~; chosell from 1 he other subjects li~,tcd in tile Schcdlllc of Subjects approved for the degree of Bachelor

of Science and

(c) three 5uujects chooen, with the approval of thc Deans of the Faculties of Mathcmatics and Science, from the subjects approved for any of the degree courses offered by the University prOl'ided that:

(i) the Ilumber of Parl J ~;ubjccfs. fihal1 110t exceed six; (ii) the minimum number o( Part 111 snbjccts shall be thrff~;

(iii) a calididate cOllllting Psychology He shaH not he entitled to count either Psychology JlA or Psychology lIB;

(iy) a candidate COll1ltille Psychology lIle shaH not be entitled to COllnt either Psychology lIlA or Psychology nw;

(v) a caodidatc counting ECOl1Clmics ITlC t'hall not be entitled to count either Ecollomics l[lA or Fconomics 1110;

(vi) (I candidate CQll!lting Geology IIIC shall not be entitled to count (lcology lIlA or Geology I11B.

26. Mathematics/ Metallurgy

After completing a successful ill'st yeilr of study towards either the degree of Bachelor of Mathematics or the degree of Baehelor of Metallurgy, a candidate may enrol in a Mathematics/Metallurgy course. A candidate who has enrolled ill such a combined course shall qualify for admission to thc ordinary degrec of Bachelor of Mathematics and thc degree of Bachelor of Metallurgy by passing 1\1 athematic, T, Mathematics IrA, Mathematics HC, Mathematics lIrA and one of Mathematics JIIB, Computcr Sciencc III, Stati,tics III or a Part TIl subject chosen from the Schedules of Subjects approved for the degree of Bachelor of Mathematics, and by satisfactorily completing other subjects to it mininlllm v,llllC of 50 units selected from the Schedule of Subjects ;Ij,provcr! for thc degree of Bachelor of Metallurgy.

2'7. Commercc/ lv/athematics

After completing the first year of study towards either the degrce of Bachelor of Commercc or the degree of Bachelor of Mathem­atics, including it pass at a satisfactory level in the subject Mathematics I, a candidate may enrol in a combined Comrnercc/ MatJlematics course, A candidate who has enrolled in such a combined course shall qualify for admission to the ordinary degrces of Bachelor of Commerce and Bachelor of Mathematics by passins seventeen SUbjects, five of which shall be TVlathematics I, i\lathcmatics ITA, Mathematics lIC, Mathematics lIlA and one of: IVrathematics IIIB, Computer Science TIf, Statistics III or a Part III suhject chosen from the Schedules of Suhjects approved for the degree of Bachelor of Mathematics anc! the remainder of which shall by themselves satisfy tile Requirements for the degree of Bachelor of Commerce.

:!il. 1,'l7gil1eerillg/ A1athc/I1olics

After completing a successful filst YC,ll ()f slm]y lowards eitl1('r thc degree of Bachelor of Engineering or the dcgrce of Bachelor of Mathcmatics, a candidate may enrol in an Engineering/ Mathematics eOllrse. A candidate who has enrolled ill such a

IS

combined course shall qualify for admission to the degree of Bachelor of Engineering and the ordinalY degree of Bachelor of Mathematics, by passing Mathematics I, Mathematics IIA, Mathe, matics lIC, Mathematics IlIA and one of Mathematics IlIB, Computer Science HI, Statistics III or a Part III subject chosen from the Schedules of Subjects approved for the degree of Bachelor of Mathematics, and by satisfactorily completing other subjects to a minimum value of 50 units taken from the Schedule of Subjects approved for the degree of Bachelor of Engineering (Mechanical), Bachelor of Engineering (Industrial), or Bachelor of Engineering (Electrical), Bachelor of Engineering (Chemical) or Bachelor of Engineering (Civil r.

29. E,'col1omics/ Mathematics After completing the first year of study towards either the degree of Bachelor of Economics or the degree of Bachelor of MRthe­matics, including a pass at a satisfactory level in the subject Mathematics 1, a candidate may enrol in a combined Economics/ ]\.1:athemati(;s course. A candidate ,vho has enro.llcd in such a combined course shall qualify for admission to the ordinary degrees of BaGhelor of Economics aud Bachelor of Mathematics by passing seventeen subjeGts, five of which shall be Mathematics 1, Mathematics HA, Mathematics HC, Mathematics IlIA and one of Mathematics Inn, Computer Science III, Statistics III or a Part HI subject chosen from the Schedules of Subjects approvcd for the degree of Bachelor of Mathematics and the rernainder of which shall by themselves Gomplete the reqllirc­ments for the degree of Bachelor of Economics.

!'nrt X Matll<'matics

I.'mlIl

Mathematics lIA Mathematics 1m

M'athcrnatics DC

l'mt lH

Mathematics nIA Mathematics nIH

l~art rv Mathematics IV

SCHEDULE A

it f~ assumed that :'itlldents have studied l1ighcI School Certificate Mathcmatks at the t\vo-unit level or higher

J"n;J;'cquisite Mathematics l'rcrcquis!lc Ivlathcmatics The Dean may permit a candidate to take this ~ubj('ct in two parts, each of three terms duration Prerequisite Mathematics I 1'''''"01' Corequisite Mathematics HA

Prerequ;,ites Mathematics HA & IVlathematks HC fl'n> or tCort'tluisite lvlathcmatks lIlA

Prerequisites Mathematics lIlA & either Mathe· matics 111M 01' Computer Science III

16

Computer Science Subjects §ubjcct

Part II Computer Science 11

Part III Computer Science III

l'''rt HI Statistit;s Ifl

I'ml'cqnlsilt, Mathematics I

PrCtHluisltcs Computer Science n, Mathematics llA & Math@malics lIe

Statistics Subject

Prerequisites Mathematics IIA & Mathematics lIe (includinr Tnpics CO, II and 1)

SCHEDULE B

Subjects With a Substootial Matbematkal Content Part I Engineering

Materials Science 1

1'" .. t n Civil Engineering IlM Psychology !IC

I'mt HI Acconntil1g lIlt.:

Biology IJ III

Chemical EnginecriIlg l1]C

Civil Engineering nIM

Communications & Alltornatic Control

Digital Computers & Automatic Control

Economics lIIe

OeoJogy I He

Industrial Engineering 1 Ivlechanical Engineering I11C

Physics IlIA

P,ychoIOi1Y IUe

It is assllmed that students have studied Higher School Certificate Mathematics at the two~unit level or higher together with cilllCi' Multistrand Science at the four-unit level or Physics at the two-uuit level and Chemiotry at the two··unit level it is assumed that students have studied a Higher School Certificate Science subject at two··unit level or higher COretluigites Mathematics J, Physics IA

Prerequisites Engineering I & Mathematics I PrerCtlllisitcs Mathematics I, Psychology I. A

candidate counting Psychology IIe shall not be entitled to COUllt Psychology IIA or Psychology llil

"!'creql1isite, Mathematics IrA & Mathematics lie & either Acc{It1l1ting HA or Accounting lIB

I'!'crequisites Mathematics IJA & Mathematics HC & either Biology IIA or Biology llB

Pretell";,lcs Chemical Engineering I1. Mathematics HA & Mathematics lIe (including Topic F)

I'I'CI'CIluisitcs Civil Engineering HM, Mathematic. lIA & Mathematics HC

('rerequisites Mathematics IIA & Mathematics lIe (including Topics CO. D)

ft)ll'cl'e(ruisitc~~ Mathematics llA & Mathelnatics He (including Topics CO. D)

Prerequisites Economics lIA, Mathematics IlA & Mathematics lIC

!'l'crcfjuisUes PhysicS lA. Mathematics flA, Mathe·· matie. HC & Geolo,)y IlA

Prerequisites Mathematics JlA & Mathematics He Pl'ert'quisites Mathematics ]fA & MatllcmaHcs He (including Topics F & H)

Prel'etlllisites Physics 11, Mathematics IIA & Mathematics lIC

PrCl'cquisiies Mathematics UA, Mathematics He and either PsycholoflY HC 01' l'sycllOlogy IIA and Psychology lIB.

1\ ccmdidol"e with beller than pm,s level in Physics I real siiuotions itt mathernatical terms Clod the componenfs of Chemical Engineering

ofter intefviev/, be qronted exernption

Mathematics/Physics IV Mathematics/Psychology IV

SCHEDULE C

I'I'"reqllisi!es Mathematics IlIA & Physics BIA I'l'crcquisit"s Mathematics IlIA & PSydlOlogy rnc

NOTES ON COMBINED DEGREE COURSES

ARTS/ MATHJ:<-MATlCS The details for the combined course follow simply from the Require­ments for cach degre'C. Each degree requircs nine subjccts so the combined degree requires 18 subjects less four subjects for which standing may be given, thus the combined degree should contain 14-subjects, T'he Rachelor of Mathematics requires Mathematics 1, Mathematics UA, Mathematics lIe, Mathematics lIlA and either Mathmatics HIB, Computer Science In, Statistics III or a Part lIt subject from Schedule B of the Schedule of Subjects approved for the degree oj' Bachelor of Mathematics. This leaves nine subjects which must clearly satisfy the Requirements for the Arts degree. Ihe course could be pursued in the following Illatmer: Year I Matbematics ! and three other Part 1 subjects, Year Ii three Part 11 subjects including Mathematics lJA and Mathematics lIC

and another subject which should be a Vmt 1 or Part n suuject approved for the degree of Bachelor of Arts,

YeaI' IU Mathematics lIlA plus two other subjects which Illust )nelm!e at least one Part 111 subjecl,

Year IV either Mathematics nlll, Computer Science Ill. Statistics III or a Schedule B subject from the Requirements for Bachelor of Mathematics plus two other subjects which will complete the Requirements for the Arts degree.

COMMERCEll'vJATJ-lEMA HCS The details of the combined course III Commerce and M.athcmatics follow from the Requirements for each degrce. The combined course should contain Ivlathematics J, iVlathematics HA, Mathematics lIC, Mathematics lIlA anel either Mathematics lIIB, Computer Science III, Statistics III or a Part lJ l subject from Sehedule H of the Schedule of Subjects approved for the degree of Bachelor of Mathe~ maties. This leaves twelve subjects which must c1eady satisfy the Requirements for the Commerce degree. The course eOltld be pursued in the following manner: Yeai' If 1vlnlhematics 1

Introductoly' Quantitative 1vh~tlj()ds Economics! Accountil1g 1

Veai' H Mathematics lIA Mathematics lIe One B.Com, subject

Yeai' III Mathematics nlA 'fhree B.Com. subjects

Year XV Mathematics lIm, Computer Science In, Statistics III or {',\it [(] ~rl1t'dtlk B subject from the Requirements for Bachelor of IvfathfuDtics, Two 1l.COlll. subjects

YeaA' V Three ll.Col)l, subjects.

LCONOMICS/ MATHHMAl1CS The details oj' the combined course in IVIathemalics and Economics follow simply from the Requirements for each degree, The combined degree course should contain Mathematics J, JYlatllernnlies HA, lVlathematies Jle, Mathematics nIA and one of Mathematics lIIB, Computer Sc:iel1cc JII, Statistics IJ I or a Part HI subject from Schedule n of the Schedule of Subjects approved for the degree of Bachelor of Mathematics, and all the subjects sati<;fying the l~eqnice, ments for the degrce of Ihehdor of FcolJomics.

The course could be pursllcc! in the following l!lanner: Yem' '[ tvlathcmatics I

Introductory Quantitative Methods Economics I One REc. subject

'leal' U Mathematics IIA Mathematics He' One REo. subject

Year III Mathematics IliA Economics II Two B,Ee. subjects

Yeui' XV Mat.hematics llIB~ COU1lJutCl' Science HI, Stalistic:1 IH 01' a Pa:d HI Schedule l:l subject from the Requirements foJ' H.Muth.

Two fl.Ec. subjects Yea" V Three BJk. subjects

ENGINEERING I MATHEMATICS The: details of the combined course ill Mathematics and Engineering follow simply from the Rcquirements tor cach degree. The combined degree course 8hould contain Mathematics 1, Mathematics IIA, Mathematics He, Mathematics IlIA and one of Mathematics HtH, Computer Science III, Slaiistics III or a Part In subject from Schedule B of the Schedule of Subjects approved for thc degree of Bachelor of Mathematics, and aU subjects satisfying thc l~equin:"· l11cnts for the degrec of Bachelor of Engincering, The course could be punued ill the following manner:

(1) n,Ii:/.n.Mati!, in ClAemknl ][;;ngineel.'lllg 1,' ~m' I CEll] Static;;

MEll1 Graphics and Enginecril1g Dnnv}(JJ.!, GE1I2 l"lroductinn to Design ChEl01 Industrial Prncc,>s Plillciples Chemistry 1 Mathematics I Physics IA or lJ.l lVfE121 vVurkshop Pr:ldk{~

Ye,l!' II Mathematics IlA M athcllla tics 1I C Chemistry IIA Chemical Engineering I Part J

Year III 11alhell1atics IlIA Chemical BuginecIine 1 Part 2. Cheluical Engineering IIA Part

-Ye,I;H' I V lVlathel11atics nJB or l'art Hi subject from the Schedules of 0Ilbje.::ts for B.Math.

Chemical Engineering IIA Part 2 Chemical Engineering ill>

Yi';ti" V Chemical Fngiu('cring 111 Projects l!

Yea" 1

Elective]

CE 111 Statics MElll Graphics and Engineering Drawing G_E112 Introduction to Engineering Design ME131 Dynamics Mathelnatics 1 Physics fA Chemistry JS Cl~l'/l EngineelillI!, SUlveyilie

Mathematics IIA CE212 Mechanics of Solids CE2l1 Properties of Materials CE2l? Materi,'!s Teclwology eE231 Fluid Mechanics J CE24l Water Resources Eneillfering CE22"JJ EnBineering Geology

19

Year iI.

Year III

Year IV

Year V

EEI3! EE2li ME!l! ME271

CE313 C£324 CE332 C£351 CE372 ME301 GE350

CE414 C£425 CE452 ME482

CE453

CElli EEI31 GEll2 MEllI MEl31 MEI21 EE211 FE221 EE232 EE262 1210264 MetlU2 Ph)?.!

EE313 EEJ14 EE323 £E314L E£325 BE333 EE34l EE:144 G1'350

EE48n EE481 EE49 I

Circuit Fundamcutals Energy COllversion Workshop Practice Thermodynamics I Mathematics lle Structural Analysis & ncsi~n Soil Mechanics Fluid MechanicB Ii Civil Engineering Systems 1 Transportation Engineering Engineering Complltations SClninar Mathematics IlIA Structural Analysis & Design 1\ Earth & Rock Engineering Engineering Construction Engineering Economics 1

Mathematics UiB or a Pan HI suujecl from the Schedules of Subjects for B.Math.

Project Eleetives·-·4 units

Mathematics J Physics IA Chemistry IS Statics Circuit Fundamentals lntroduction to Engineering ])esi,ell Graphics and Engineering Orawing Dynarnics Workshop Practice Energy Conversioll SClniconductor Devices E}ecrrical Circuits Syst(~matic Pl'ogramlning Introduction to I.ogic &. Assembly l.anguage Electronic Structure of Materials Elcctromagnetics & OuantUlll Mechanics Mathematies lJA Mathematics lIC Mathematics lIlA IVrathematics HIB or a I'art III subject frelm the Schedule 01

Subjects I'm D. Math. Powel' Systell1S Electric-al Machines Linear Electronics E1ecLl\)lltC8 Laboratory Introduction to IJidtal Technology Advanced Circuit Annlv,->j,) AutOlnatic Control <

Communications Seminar I unit from EE300, 400 Electives 4 units of electiVES outside :EJ]Bitleerinf~

Project Project 01' 2 U1lits from EE300, 400 suhjed'l SerI1inar f) from EE300. 400 subject, I unit of elective (Engineering FaC.ollon Ii.E.)

(Iv) U.lft./B.Matil. in l!lIdustEi:.ll li<:ugineel'ing Year I Mathematics 1

CEll! EE131 GEII?, ME!11 MEl3! ME12!

Physics IA Chemistry IS Statics Circuit I-'ntldmncntal~ Introduction to Engineering Design Graphics and Engin{'(~rinR Drawing Dynamics \Vorkshop Practice Mathematics UA Mathematics lIC

ME201 Experimental Methods ME20) l)ynmnies of Engineering Sy&tems

20

Venl'IV

MEZD] Experimental Methods 11 ME214· Mechanics of Solids [ M1'241 Properties of MaterialR I M:E251 :Fluid Mechanics I Iv1E271 Thermodynatnjcs J MetJ5] Microstrncturc of M;Jieriab Mathematics IlIA EE2l1 Ellcrgy Conversion ME212 Engineering Design ME223 Engineering Techno1ogy ME232 Uynamics of Machilles 1 lVIE30l Engineering Computation, ME3;)?, Properties oj' Materials n ME343 ,Mechanics of Solids Il lV1E36 I Auto1l1"-tic Control Mathematics TUB 01' Part IU subject frum Schedule of Subjects foJ' B.Math. ME312 Engineering Design II M1'313 Engineering Design lIT ME333 Dynamics or Machines II ME381 Methods Engineering lIIiE383 Quality Engineering ME482 Engineering Economics I ME484 Engineering Ecollomics Jl ME487 O.R.·--Deterministic Modols ME4gS O.R.--Probabilistic Models j\,-1l">'l9G Project/Seminar

Industrial Engineering Elective 4 units Dcp'lltmclltal Technical Ekctirrs

)\;Iathematics I Physics IA Chemistry IS CE 111 Statics EE13! Circuit Fundamentals GE112 Introduction to Engineering Design ME!l! Graphics and Engineering Drawing MEl2I Workshop Practice ME]Jl Dynamics Mathematics IIA Mathematics HC ME201 Experimental Methods I ME202 Dynal111cS of Engil1ceriJ~g S.v:;tcms ME20] Experimental Methods II M.E214 'Mechanics of Solids 1 ME241 Properties of Materials ( ME251 Fluid Mechanics 1 ME2'!l Thcnnodynamics I Ivtc:tlSl 'Micl'os-tructun.:: of MatcriHh; Mathematics lIlA EE211 Energy Conversion fvfE212 Engineering De"sigll 'ME223 I~nginccdJ1g Technology lviE232 Dynamics. of Machines I ME301 Engineering Computatio~;s ME342 Propertj"s of Matedals .r ME343 Mechanics of Solids II ME361 Automatic Contw!

Mathematics UIlJ oj' Part 111 suh,iect fraJl) Scherlulcs of Subjects for B.Math. ME302 Experimental, Methods HI ME3!2 Engineering Design II ME3!] Engineering Design In ME352 Fluid Mechanics II ME372 Heat Transfer ME3,]3 :fhennodynamics n GE350 Seminar CE301 Structural Desip,n ME333 Dynamics of Machines n ME496 Project/Seminar 0

4 uOnits 'Departmental Technical Electives T,1E481 Engineerjng Administration MEI!82 Engirlccling Economics 1

21

MATHEMA TICS/ SCIENCE The details for the combined course follow simply from the Rcquire­ments for each dcgree. Each degree requires nine subjects so the combined degree requires 18 subjects less four subjects for which standing may be given, thus the combined degree should contain 14 ~ubjects. The Bachelor of Mathematics requircs Mathematics J, Mathematics IIA, Mathematies JIC, Mathcmaties lIlA and one of Mathematics JIm, Computer Scienee HI, Statisties HI or a Part III subject from Schedule B of the Requirements. This leaves nine subjects which must clearly satisfy the Requirements for the Science degree.

The coursc could be pursued in the following manncr: Yem' Jf Year JJ

Mathematics 1 and three other Pall 1 subjects. three Part II subjects including Mathematics ITA and Mathematics He (ll1ct another Part I subject, Mathematics lIlA plus two other subjects which mnst include at least one Part III subject. one of Mathematics HIB, Computer Science III, Statistics III or. Ii Schedule B subject from the Requirements for Bachelor. of MathematIcs, plus two other snbjeets which will complete the Reqll1rements for the Science degree.

MATHEMATIC':;'/METALl,URGY

A combined course leading to admission to the degrees of Bachelor of Metallurgy and Bachelor of Mathematics as approved by the Faculty Boards of Mathematics and Engineering shall include Mathe~ matics I, Mathematics HA, Mathcmatics He, Mathematics IlIA and one of MathernaLics nm, Computer Scienec IIr, Statistics III or a Part HI subject chosen fro111 Schedulc n of thc Schedule of Subjects approved for the dcgree of Baehclor of Mathematics and othcr subjects to a minimum of 50 units takcn from the Schedule of Subjccts approved for the degree of Bachelor of Metallurgy.

)\10t141 MellSl Met181 Met182 Met121 MEl11 GE1l2 ChE101 MEJ?l

fil1l>jed

Mathclnatics T Physics JA Mcchnnical Prolicl ties of Materialfl N(icrostrncLure of MnJnrials Atomic -Strllcture o( Moterials Electronic Structure of Ivlatcrials Chemical Metallurgy Graphics and Engineering Drawing Introduction to Engineering Dcs_ign Industrial Process Principles

Workshop Prac!ice

Mathematics HAl Mathematics nc~

Met221 Metallurgical Thel1110dynamics ]'vIct212 Metallurgical Sloichiomelly Met2I3 Applied Statistics 1\1e031 J~a(e Processes

22

MeU61 Extraction Metallurgy Met2Sl Metallography Met241 Microplasticity Met271 Fabrication MetallUrgy

Ye", HI Mathematics nIA~ Met301 Communication Skills ChE331 Process Economics Met361 Extraction Metallurgy Met39l Physical Metallurgy Laboratory OR Met392 Chemical Metal1nrgy Laboratory

Elcctivcs---4 units

Year IV Mathematics lIIB or a Part III snbjeot from the Schedules of Subjects for B.Math. (j units from Met300 subjects EJcctives~~2 units (see Hate below)

Year V 11 units from Metallurgy 400 subjects Met101 Directed Reaciing

j~ To include Topics A, CO and D. 2-1'0 inclnde Topics F, G, K and L.

EJectivl)!;)

16

8

1 4

16

8 6

16

11 2

Of the elective units in the combined degree coursc, no more than four may bc taken from the list for Elective I in the Bachelor of Metallurgy dcgrce schedule. Mathematics II Topic B (EM2B) should be induded as an dective. The elective list covering subjects which may be takcn in lien of Mathematics nIB is given in the Schedules for the degree of Bachelor of M athcrnatics.

REQUIREMENTS FOR THE DIPLOMA IN COMPUTER SCIENCE

1. In these Rcquirements, unless the context or subjeet matter other., wise indicates or requires, "the Faculty Board" means the Faculty Board of the Facultv of Mathematics and "the Board" means the Board of Studies ~stablished to supervise the eourse of the Diploma in Computer Seienee.

J. An applicant for registration as a candidate for the Diploma shall: (i) have satisfied all the requirements for admission to a degree

in the University of Newcastle, or (ii) have satisfied all the requirements for admission to a degree

in another university or institution approved for this purpose by the Board, or

(iii) hold other qnalifications approved for this purpose by the Senate on the recommendations of the Board and the Faculty Hoard.

3. The Board may require a candidate to complete additional work and/ or examinations if, in its opinion, he has not reached the assumed ~tandard of attainment on which the content of any of the Bubjects is based.

Ij .. All applicant for registration as a candidate for the Djploma HiClY he grantcd standinfj by the Board for work completed in this University, or in another university or institution approved for 1his purpose by the Board. Such [;tanding shall not be given for more than half of tlw cour:,e ,mel shall not be [liven for work on the basis of which a degree or diploma has alreaVdy been conferred or awarded or approved for conferment or award.

S. (fl.) To eomplete a subject qualifying towards the Diploma, a candidate shaH attend such lectures, tutorials, seminars and laboratory and illlbmit snch written work as the Board m.ay require.

(b) '1'0 pass a subject, a camlidate shall complete the suhject and pass such. examinations as the Board Illay require.

6. The Board shall approve a programme of studies for each can­didate. l'his programme may be varied only with the approval of the Hoard.

'l. (a) A candidate may withdraw from a subject only by informing the Secretary to the Uniw;l'Sity in writing and the withdrawal slwll take effect from. the dak of receipt of slIch notification.

(b) /\ candidate who after: the eighth Monday in l'irst in the caiiC of a subject lasiin3 only the lJrs! balf·,ycar; the sixth in Second

in thf~ case of a subject lasting the whole year; the second Monday in Third 'ferln, in the case of a subjeet Jasting only the second h~lf·,year; withdraw:; from a subject in which he has enrolled shall be deemed to have failed in that subject. unless sranted permission hy til(; )'eall of the Faculty of lV1athematks to withdrmv withont penalty,

8. In order to qualify for the Diploma, a candidate shaH, in not less than two years Gf parHime or one yeilr of fllIHime enrolment,

satisfactorily a course of studies, comprising 11 llnits of chos(~n frora the Schedule of Subjects provided that the

:mbjeets passed: (n) shan include all the subjects in (iroup I, I1nless, in order to

cmiisfy provisions of snh,seetion (c) of this Section, the Board has prescribed for the candidate concerned an aItel.·" native subiect or subjects for one 0)' more of the subjects in this Group;

?A

(b) shall noi: include more than two unit~ from snbjf:ets in Group III;

(e) shall not include a subject whieh, in the opinion of the Board, substantially overlaps the content of a eom-se com" pleted or work presented for another degree or diploma; and

(d) shall be those prese:riiJecl. in the programme approved by the Board.

9, The Diploma shall be awarded in two grades, l1aInely: Diploma in Computer Science with merit, Diploma in Computer Science.

10. Group I subjects shall be offered each year, but subjects listed in Groups II and III may not necessarily all be offered in anyone year.

11. Notwithstanding t.he provisions of Section 8, the Board may from time to time approve a subject to be counted a:; a Group II or Group HI subject: for one spccific year.

12. In order to provide for exceptional circumstances arising in particular cases, the Senate, 011 the recommendation of the Faculty Board, may relax any provision of these Requirements.

REQUIREMENTS FOR THE DIPLOZVIA IN MATnl']YIAnCA1~ STUDlliS

1. In tbese I:tequireuwllts, unless the contcxt or subject maHer other·, wise indicates or requires, "the r"acnlty Board" means the Faculty Board of the: Faculty of Mathernatics and "the Dean" means the Dean of the Faculty of Mathematics.

2. An applicant for registration as a candidate fo)' the .,.npHJUlCl ~hall:

(n) have satisfied aU the Requirements for admissiojJ to a in the University of Newcastle or another institution approved for this purpose by the F,lGUlty Board, em

(b) in exceptional circumstances produe:c evidence of possessing :mch other qualifications a~ lllaY be approved by the Faelllty Board.

3. 1'he Faculty Board win appoint an adviser for each ct.mdidatc.

4. An applicant for registration as a candidate for the Diploma may be granted standing on conditions to be determined by the Faculty Board, prOVided that standing may not be granted in respect of any studies for which credit has !Jeen given for admission 10 a or for the award of another diploma.

5. In order to qualify for tIle Diplorna, a candidate shall, in not less than three terms in the case of a full··time siudent Of not less than six term& ill the case of a parHime studellt, complete a course or studies COlJlprisinr; 1/, units of advanced work offered by the

Department of Mathematics or another department offering courses with considerable mathematical content. Two units of this advanced work may be a project approved by the Faculty Board. Each unit will require attendance at lectures, seminars and tutorials, reading exercises, laboratory work and examinations as may be prescribed by the Faculty Board.

6. (a) To complete a unit qualifying towards the Diploma, a can­didate shall attend such lectures, tutorials, seminars and laboratory classes, and submit such written work as the :FacuJty Board may require.

(b) To pass a unit, a candidate shall complete the unit and pass such examinations as the Faculty Board may require.

7. (a) A candidate may withdraw from a unit or units only by notifying the Secretary to the University in writing and the withdrawal shall take effect from the date of receipt of such notification in writing.

(b) A candidate who after>~ the eighth Monday in First 'I'erm, iIi the case of a unit lasting only the tirst half-year, the sixth Monday in Second Term, in the case of a unit lasting the whole year, the second Monday in Third Term, in the case of a unit lasting only the second half-year,

withdraws from a unit in which he has enrolled, shall be deemed to have failed in that unit, unless granted pennissiou by the Dean to withdraw without penalty.

8. In exceptional circumstances the Senate may, on the recommel1d~ ation of the Faculty Board, relax any of the above requirements.

l<1~QUlREMENTS FOR THE DEGREE OF MASTER OF MATHEMATICS

1. An application to register as a candidate for the degree of Master of Mathematics shall be made on the prescribed form which shall be lodged with the Secretary at least one full calendar month before the commencement of the term in which the candidate desires to register.

2. A. person may register for the degree of Master of Mathematics jf~~~ (a) he is a graduate or graduand of the University of Newcastle or

other approved University with Honours in the subject to be studied for that degree; or

(b) he is a graduate or graduand of the University of Newcastle or other tertiary institution approved for this purpose; or

(c) in exceptional eases he produces evidence of such academic and professional attainments as may bc approved by the Senatc, on the recommcndation of the Faculty Hoard.

3. In the case of applicants desiring to register under provision 2 (b), and (c), the Faculty Board may require the candidates to carry out such work and sit for such exanJinations as the Board may determine before registration as a candidate for the degrec of Master of Mathematics is confirmed.

4. In every case, before permitting an applicant to register as a candidate, the Faculty Board shall be satisfied that adequate super~ vision and facilities are available.

5. An applicant approved by the Faculty Board shall register in one of the following categories:.~' 0) Student in full-time attendance at the Univcrsity.

(ii) Student in part-time attendance at the University.

6. (i) Every candidate for the degree shall be required to submit a thesis embodying the results of research carried out by him during his candidature, to take such examination and to per­form such other work as may be prescribed by the I·'acuIty Board. The candidate may submit also for examination any work he has published, whether or not such work is related to the thesis.

Oi) The research and other work as provided in paragraph 6 (0 shall be conducted under the direction of a supervisor ap·, pointed by the Faculty Board or under such conditions as the Faculty Board may determine.

(iii) A part-time candidate shall, except jn special circumstances, i. conduct the major proportion of his research in the

University; and ii. take part in research seminars within the Department in

which he is working. (iv) Every candidate shall submit annually a report on his work to

his sllpelvisor for transmission to the Higher Degree Committee. (v) Every candidate shall submit three copies of the thesis as

provided under paragraph 6 (i). All copies of the thesis shall be in double~spaced typescript, shall include a summary of approximately 200 words, and a certificate signed by the candidate to the effect that the work has not been submitted for a higher degree to any other University or institution. The ORIGINAL copy of the thesis for deposit in the Library shall be prepared and bound in a form approved by the University!. The other two copies of the thesis shall be bound in such manner as allows their transmission to the examiners without possibility of their disarrangement.

(vi) It shall be understood that the University retains the three copies of the thesis and is free to allow the thesis to be con­sulted or borrowed. Subject to the provisions of the Copyright Act (1968) the University may issue the thesis in whole or in part in photostat or microfilm or other copying medium.

7. No candidate shall be considered for the award of the degree until the lapse of six complete terms from the date from which the reg« istration becomes efIective, save that in the case of a candidate who has obtained the degree of Bachelor with Honours or a qualification deemed by the Faculty Board to be equivalent or wl10 has had previous research experience, this period may, with the approval of the Faculty Board, be reduced by up to three terms.

8. l~'or each candidate there shall be tv'/O exarninen:: appointed by the Senate, one of whom shall be an external examiner.

9. A candidate who fails to satisfy the examiners may be permitted to resubmit his thesis in an amended form. Such a resnbmission must take place within twelve months from the date 011 which the candidate is advised of the result of the ~lirst examinatioll. No further resubmission ,;ha][ be permitted.

1 A separate sheet on the preparation and binding of hi['ller deerc{j tlwsL is available on appUca HOll.

NO'fE HI''! ;:}uuJIi:er l;:Nl'RIt:E~;

Subject outlines and reading lists are set out in a :;tnndard forma! to facilitate easy reference. An explanation is givcn below of sowe of the technical terms lIsed in this Handbook.

(a) Prerequisites are subjects which rous! be before a candidate enrols in a particular subject. The only prerequisite:; noted for topics are allY topics or subjects wbich mllst be taken before enrolling in the particular topic. To enrol in any subject which the topic may be part of, the for that subjeci must still be satisfied. Where a prerequisite is marked. "(advisory)", leetnres wil! lw given 011 the assumption Ihat the subject or topic has bcen completed as illdicated.

(b) Coreqllisi!e.\' for subjects ;m~ (!iuse wlJich (be c:lmlidale lJIUsl pass before enrolment, or be taking concurrently. Corequisites for topics arc those which the candidatc must lake before enrolrnellt, or be takillg cOJlcurrently.

(c) llxamination sec note on progressive assessment below. (d) Texis are essential books recommcnded for purchase. (e) References are books relevant to the subject Of' topic which.

however, need not be llUrc1Hls('(L

nlXiREh; OF flA('l1FLOn ()l:" Ivl!lTHFi\4//J'lCS

SCIIEDUIE A Preliminary Notes Th(l neparlmcnt of lvhv1hJ~nHl!Lics offen; and (,)(allline~ Gnbjeeis. Jiadl

subject is compo5cd. of topics em;h sjngl(:>twit topic consisting of alxmt 27 ]ectun~s and 13 tutorials througlrout the year. Each of the Part I, Part IT and Part III Mathematics subjeots eon~ists of the equivalent of four single-unit topics. For Mathematics I, there is no choice 'Of {"pies; for Mathematics UA, HB, nCand Statistics HI ,there is' some cll'Oicealvail·~ able to stlldel~ts; for Mathcmllics lilA aml lUll ~hen7 is' a wider eh'oice. No topic may be counted twice in making up disltinct subjects. (Students who pa%cd s'orne mathema'lies subjcl'As befDre this mmngemeni 'Of subjects was introduced Sh'Otlldconsulil the; ",tliansIVtitm a:rran!gemen~s" SlCt out on 1'.155 of the J970 Facultty of Ants, handbook, and p.76 of the 1973 Faculty of Mathematics handbook. NDte thM the "code letters" for the topics may vary sliglrtly from year to year.) The subjects Computer Science II and III are taught and exmninBd joinHy by the Depm'tmenls of Electrical Engineering, Commerce and Ma:tlrematics. In Computer Sdence II, there is 1m choice of topics.

Progressive Assessment From time [0 time during the year students will be given assign<· mcnts, tests, etc, Th(~ student's performance in (his work will be taken into account in the following manner. (a) For the implementation of By,law 5.4.1.1 which deal~ with

unsatisfactory progress. A copy of this By-law appears in the Gener(ll Supplement supplied with this Handbook.

(ll) Where a student's performance during the year has been better than his perfonnance in thelinal examination, then the former will be taken into account in determining his final result. On the ol11e1" hand, when a student's performance during the year has been worse tban his performance in the final examination, then his performance during the year will be ignored in determining his final result.

Prerequisites

Flours

Fx (1111 i 11 (It i () 11

Con/cllt

Topics AI. AN· CA SC:

(i) MATHEMATICS SUHJEC'I'S

Nil

4 lecture hours and ;) tutorial bours per \\'eek

Algebra l~eal Analysis Calculus Statistics and C0l11puting

')C\ /-,./

PART I TOPICS

Algebra (Topi.c .AL) '.~ R. B. Eggleton

Prerequisites Nil

Hours

Content

1 lecture hour per week and 1 tutorial hour per fortnight

Introduction to basic algebraic; objects and ideas. Induction. Binomial 'Theorem. Matrices, algorithms for solution of equations. Complex numbers. Permutations. Vector spaces, basis and dimension, subspaces. Homomorphisms, matrix representation, rank and nullity, deter~ minants. Eigenvectors and eigenvalues. Applications are illustrated throughout the course.

Text Anton, H.

References Brisley, W. Kolman, B. l.iebeck, H.

Lipschutz, S. Trapper, M. A.

Prerequisites

Hours

Content

Elementary Linear Algebra 2nd edn (Wiley 1977)

A Basis for Linear Algebra (Wiley 1973) Elementary Linear Algebra (Macmillan 1977) Algebra for Scientists and Engineers (Wiley

1971) Linear Algebra (Schaum 1974) Linear Algebra (Nelson 1973)

Nil

1 lecture hour per week and 1 tutorial hour per fortnight

Real numbers. Sequences and series. Functions of one real variable, continuity, differelltiability, integrability. Power series, Taylor Series.

I'ext ToepJitz, o. R.eferences Apostol, 'f. Giles, J. R.

Spivak, M.

The Calcullls: A Gellctic Approach (Chicago v.P. 1969) (for background reading)

Calculus Vol. 1 2nd edn (Blaisdell 1967) Real Analysis: An Introductory Course

(Wiley 1973) (It is recommended that. s(udellts intending to majM in Mathematics should I,ave this book. which is available from the Mathematics Department).

Calculus (Benjamin 1967)

30

Prerequisites

Hours

Content

Nil

1 lecture hour per week and 1 tutorial hour per fortnight

Vector geometry in three dimensions. Revision of differentiation and integration of polynomials and trigonometric functions. Differentiation of rational functions and of implicit and parametrically defined functions. Definition and properties of logarithmic, exponential and hyperbolic functions. Integration by parts and by substitution tech .. niques. Integration of rational functions. First order separabJe .and linear differential equations. Second order linear differential equatIons with constant coefficients. Conic sections and simple three-dimensional geometry of curves and surfaces. Partial differentiation. Tangency.

Text Ayres, F.

References Apostol, T. Hille, E. &

Salas, S. Kaplan, W. &

Lewis, D. J. Spivak, M.

CalClilus (Schaum 1974)

Calculus Vol. 1 2nd edn (Blaisdell 1967) First Year Calculus Internat. Textbook Series

(Blaisdell 1968) Calculus and Linear Algebra Vol. I

(Wiley 1970) Calculus (Benjamin 1967)

Statistics & Computing (Topic SC) ."~ A. J. Dobson

Prerequisites Nil

110urs

Content

1 lecture hour per week and 1 tutorial hour per fortnight

Introduction to computers. FORTRAN programming. Calculating the zeros of functions. Numerical integration. Descriptive statistics, mean and variance. Probability. Binomial and normal distributions. Samp" ling distributions. Confidence intervals; t .. and X'L tests. A requirement is the writing of successful computer programmes to solve problems in statistical and numerical analysis.

Text Blatt, J. M.

or

Bellamy, C. J. & Whitehouse, L. G.

Basic Fortran IV Programming: Version MIDITRAN (Computer Systems of Aust. 1969)

All lntroduction to Computer Programming in Fortran (monecs Fortran) (Monash Uni. Compo Centre 1976)

31

Uejerellces

ConiC, S. j). & de Hoor, C.

Elementary IV7IIIlClicoi ,111alnis (;\1t;(;I;IW' Hill 1917) ..

Hine, J. & Wetherill, G. B.

4 f'rop,rm71mcd Text ill SIIl/islics Vols I ,1 (Chaprnan & Hall 1(75)

Hoe!, P. G. lnlroductirm to iV[athc/J/aticol Stuli.llies (Wiley 19'71)

I' Alil'f H SUltUECTS

The Depaptment of MM.hematiGs offers three P~rt II M~themlltk5 subjc;{)ts. Students whose course restricts them t() one subject must study M;>the" matk§ UA 01' Mathematics nn. The subject Mathematics IHA is a pre- or corequisite for Mathematics He, and HA and lIe together a prerequisite for any Pl!l'[ HI subject, so students wishing to takc two I'al't n suhjects would normally choose Mathematic§ lOlA and nCo (It should be noted that Computer Science III is regarded as a part III subject in til(; Faculty of MathcrJ1'a:tks). Students taking all three of the Part n snhje{:o(s wnuld study all elev(~1Ji of the tupiGs li:;ted below.

Sl!mnHllric's and hookli~ts for these topics are given on page Jt) ct ~eq, of this handbook.

The Departwent of Mathematics also ofIers jointly with the Department of Electrical Engineering, the subjeot Computer Science II. No student taking this subjeet may choose the Mathematics Topk II as a ('Ompollent 01' <mother Parl II subject. A dcs{;riptioll and c;ourse outlinc of COl'llputeJ' Science n will be found on page 72 ct seq.

,\Vhcn seJe'c,ting topics for Parit. IT sllbjecis, s'tudenQs areadv,ised to consider the llrercquis'iLes neeckd :fol' the va'fious Part HI subjech offered il1J th\;~ FacuJ:ly of: Mathem'a!lics (Mathcma,lics IlIA, Mathema'tics nm, Statisryics HI and Co.mputcr Science Ill).

A, l! CO

fOllir

]\1athcmatica! lvIudrl c,

Complex Analy;)i:; Vector Caiculu:; & Differentia!

Eqnatiolls J .incar Algehra Nnmcrical Analyt>is. 8( COl1lputing Finito Tvlathcmatics Probahiliiy & Stati:>lic, Applied Statistics Topic in Applied lvlafhclll;ltin;

('.8.". Dynamics K 1'opic in Pure r.1athclrlatics

C.g, Group Theory 1., Analysis of Metric Space~)

:i:No longer ofTcrcd.

CO or C* co ur C'

H co or C'. 1'.'

The ~,electioll niles and definition:; of tlle r~~u:t H :'iubjccts [oUow.

Fe 11. HI Topic Requiring this Par! I T Topic')

Q

M,/'" r:. I'D, Q. ". Ie, Y. /~

T. X, Z PI.. TC'

n, lJ. Y U

nv!. 0, T. X FM. o. r. v. w

(;6211)0 Mathematics HA

Prerequisite

flours

EXalnill{/liufl

COlli en!

Mathematics J

(I lecture hOllr, and '2 tIltoriaJ hOllrs per week

Each topic is examined separately

Topics E, CO and D. III exceplional circllmstances and with the COI1Sellt of the lleod of the Departmcllt, one topic from A, F, G, or H may he substituted for B. Additional substitutions may be allowed ill the case of candidatec' who have passed the subject Mathematics IlB. In addition, students takillg Mathematics IrA will he required to prepare a report on soml~ aspect of the history of the mathematics smdied in this subject. '

66:.tZOO Matbematk;; llHt

Hours

ExaminatiOiI

Content

Mathernatic9 I

II· lecture hours and '2 tutorial hours lwr week

Each topic is examined separately

Four topics chosen from A to H, w he rc CO counts as two topics, :md Ilpproved by IIII' }fcud of IIiI' Dep{//'iJ71l'llt. In cxccptiollal circtlm., stanccs and with Illc conscnt of t/z(' Head of the Dcpartmcnt one or morc of thc topics, I, J, K or L may be included. Students in the Faculty of Mathematics may. with the consent or the 'Dean, take Mathematics lIB in two p<lrts, each of two topics.

Prerequisite M alliematics

f)re~ or Co)'eqllisite Mathematics IIA

HOLll's 4 Jectme hours and 2. Illtl)rial hours per week

Lxaminolion ;"ach topic is examined

COlltell!

Topics K" L and one oj' tile pairs 0[' (opics C; ane! .l. JJ and I 01' G i\ ilL! 11. Studen (s \\/ho may wish tn proc;cec! to :>t:1 tist ics 1 n as it

Part III subject ,Iwuld select topics II and I. SlIiJjcc/ to the conlent oj the Hcud of the LJepill'illlClii one topic fnlm A (0 .J may he; substituted for one of the topics I or .J.

Notes 1. illchHks a Schedule :u ~Ubjf('t IIl~W lWYl: tht~ir chuke of il)P1c:J

~et out in the 1 ules above.

2. Students whose courses include }'hysics IlIA are advised to include topics CO, H & one of fl, D 01' F in their Mathematics Part II subjects: this may require the use of the substitution rules.

3. Students who passed a Part II Mathematics subject prior to 1974 and who wish to take further Part II Mathematics subjects should note that the topic coded "L" in 1974-1978 corresponds to the topic coded "A" in previous years. Such students 111ay require special permission for their selection of Part 1I topics, and should consult with the Head of the Department.

4. Topics C & E existing before 1978 are no longer offered as separate topics.

Prerequisite or Corequisite

Hours

Examination

Content

1> ART lll{ 'fOPIC§

Topic C Topic CO

1 lecture hour per week and 1 tutorial hour pCI' fortnight

One 2-hour paper

This topic is designed to introduce students to the idea of a mathem­atical model. Four or five realistic situations wiII be treated beginning with an analysis of the non-mathematical origin of the problem, the formulation of the mathematical model, solution of the mathematical problem and interpretation of the theoretical results.

Text

R.ejerences

Andrews, 1. G. & McClane, R. R.

Habenuan, R. K(~meny, J. G. &

Snell, J, L. Noble, B.

Rapoport, A. & Chammah, A. M.

Smith, J. M.

Nil

Mathematical Modelling (Butterworth 19"/6)

Mathematical Models (Prentice·Ball ] 977) Mathematical Models ill Social Sciences

(Blaisdell 1963) Applications of Undergraduate Mathematics

in Engineering (M.A.A'/Colliere,Mac .. millan 1967)

Prisoner's Dilemma (Michigan UP. 1965)

Mathematical Ideas in Biology (Cambridge 1971)

6621021 1JfolJic n~·c"Complex ARmIYlliu~-M. J. Hayc-s

or Corequisite

Hours

Topic C fopic CO

1 lecture hour per week and 1 tutorial hour per fortnight

34

Examination One 2-hour paper

Content Complex: Numbers ~- polar, exponential forms. Functions of a com" plex variable ·-·limit, continuity, derivative. Analytic Functions­Cauchy~Riemann equations, Harmonic functions. Elementary Functions ~. exponential, trigonometric, hyperbolic, logarithmic, generalised power. Integration ---- Cauchy integral theorem and formulae; multiply~ connected domains. Sequences and Series ._- power, Taylor and Laur" ent series. Calculus of Residues --- singularities, residues, zeros and poles of Meromorphic Functions, real integrals. Conformal Represen­tation --. lineal' and bilinear transformations. Application of analytic functions to the theory of flows.

Text Spiegel, M. R.

References Grove, E. A. &

I,adas, G. Paliouras, 1. D.

Polya, O. & I,atta, G. E.

Theory and Problems of Complex Variables (McGraw-Hill 1964)

Introduction to Complex Variables (Houghton Mifflin 1974)

Complex Variables for Scientists and Engineers (Macmillan 1975)

Complex Variables (Wiley 1974)

662109 '.fopic CO ~-~ Vector Calculus & niHerentilil lflquatiomJ ~~, J. G. Coupel-/W. BrisJey

Prerequisites Nil

Hours

Examination

Content

2 lecture hours per week and 1 tutorial hour per week

One 3-hour paper

Differential and integral calculus of fUIlctions of several variables: partial derivatives, chain rule, Jacobians, mUltiple integrals, Green's, Gauss' and Stokes' theorems, gradient, divergence and curl. Taylor's polynomial; Fourier series. First and second order linear differential equations: general solution, initial and boundary value problems, solution by Laplace transform. A little on Sturm-Liouville systems if time permits. Second order linear partial differential equations: Laplace, Wave and Diffusion equations.

Text Either Kreyszig, E. Advanced Engineering Mathematics 3rd edn

(Wiley 1972)

01' both

Greenspan, H. D. & Benney, D. J.

([nd

Boyce, W. E. & DiPrima, R. C.

l'{eferencrs

Courant, R.

Powers, D. J,

Sneddon, r. N. Spiegel, M .. R.

Stephenson, G.

CaIClilliS-' WI Introduction to Applied Matizt'llwlics (McGraw~Hill [973)

FlclIl{'!ltary DifJerentiill Equatiolls and BOllile/my ValliI' Problems 3re! cdll (Wiley 1977)

T>if7crential alld lllle{Iral Calclllus Vol. II (Wiley 1968)

BOllndary Value Problcms (Academic 1972) FOllrier Series (Routledge 1(61)

Theory {file! Problellls of A dVrl!lcl'd Calculus (Schaum 1974)

An Introduction fa Partial Differential Equaliolls for Science StlfdciiiS :~nd cdn (Longman J 9'/4)

662104 ']['Ollic D

Prerequisites

IJI.I!!ID.' AI[~ebm ~" R. B. Eggleton

I'\jil

fl OUI'S

Content

1 lecture hour per week. and 1 tutorial hOllr per fortnight

One 2··hour paper

Review, extension and applicatioll or some makria! in the algebra section of Mathematics 1. "Canonical i'orHls" for matrices, lin\"~jr maps and operators. Eigenvalues, eigensp:lces and speetlal lheory, Duality. Linear programming. Functions of malrices, and malrix manipUlations. Inner product spaces, orthogonality, ane! application. Attention is p,dd to applications ;llld :\JgOjilhrns throughout.

Texts

Lipschutz, S. ROfres, C. &

Anton, H.

Hejt'l'ellce.l'

Ayres, F. Brisky, W. Lange, J.. H. Nering, E, D.

Noble, H.

UI/('{/!' Aigebm (Schaum 1974) Applications of Uil('(!]' Algebra (Wile',' 19'1'1)

Matrices (Schaum 19(2)

A Basis jar Lincar Algebra (Wiley 1(73)

FlclJIl'l1lmy Unear Algebra (Wiley 1 %8) Linear Algebra and lHatrix Thcory (Wiley

1964) A flplicatiolls oj Ulldtrgradll(/i1' kfathl'lIlati('.I' in

FlIgilll'ering (M.A.A. 1%'/)

Pipes, L. A.

Reza, F.

Prerequisites

Hours

Exami:muion

Content

Matrix Methods for Engineering (Prentice-Hall 1964)

Uncal' Spaces ill Engineering (Ginn J 971)

Nil

J lecture hour per wcrk illld 1 tutorial hour per fortnight

One 2··hour paper

Revision and extension of Fortran programming. Sources of error in computation. Solution of a single nonlinear equation. Interpolation a~ld the Lagrange interpolating polynomial. Finite differences and applIc­ations to interpolation. Numerical differentiation and integration in<o cluding thc trapezoidal rulc, Simpson's rule and Gaussian integration formulae. Numerical solution of ordinary differential equations - ... Runge-I< utta and predictor-corrector methods. Numerical solution of linear systcms of algebraic equations. Applications of numerical methods to applied mathematics, engineering and the sciences will be made throughout the cour~e.

Text Conte, S. D. &

de Boor, C.

References

Balfour, A. & Beveridge, W. T.

Carnahan, B. ct al. Krcitzberg, C. B. &

Shneiderman, B. Ralston, A.

Prerequisites

[Jours

Examinl1tion

Content

Elementary Numerical Analysis (McGraw" Hill 1972)

Basic Numerical Analysis with Fortran (Heinemann 1973)

Applied Numerical Methods (Wiley 1969) 7'/1(' .E'lel11enis of Fortran Style (Harcourt,

Brace & Jovanovich J 972)

A First Course ill Numerical Analysis (MeGraw~HiI1 1965)

Nil

J lecture hour per week and 1 tutorial hour per fortnight

One 2 .. hour paper

This course will be an introduction to finite mathematics and its applic,\fion to operations rescarch and behavioural mathematics. The

37

content will include linear programming, theory of games, graph~ theoretic models, Ivlar1wv processes, inventory nnd :storage models nud queueing theory.

Text

References

Levin, R. L & Kirkpatri(~k, C I\.

Owen, G. Saaty, T. 1,.

Prerequisite

HOllr,I'

E'xamilzation

C'Ol1t<'llf

Nil

QlI(flltilritive Approachcs to A1ana[Jr'l71cIII 2nd edn (M(;Graw·Hill 1(71)

Finite lvlathematics (Saunders 1970)

Topics il1 Behavioural A1athematics (M.A.A. 1973)

Nil

1 lecture hall I' per wu~k and. 1 lU(ori~1 honr per fortnight

1'hi5 topic is an introduction to the theory of probability ,mel statistics. The lectures will indude the following topics. Probability spaee, basic probability theorems, eonditional probability, independence of events. Discrete and continuous random variables, probability functions, distribution function. Expectation, mean, vari:mcc, moment generating function. Joint distribution, covariance, correlation, indppendencc. [,',fl'or propagation. Chebyshev inequality and the weak law of large numbers. Binomial and Poisson probability distributions. Normal dis~ lribution. Classification of experimental elata, hi:itogral11s. Random samples, sampling distributions for mean and variance. Statistical inference, hypothesis lesting, types of error, power functions. Point :111[1 1n[('1"va1 estimation. Applicatioll of the X"', T, F and norm,]] random variables 10 hY[1othe:;is [('sting.

Text

Frennd, .I, F­or

Hoel, P. G, or

Mendenhall, \lV. & SGheafIer, 1(. 1.

Reference,I'

AHendoerfer, C. n. & Oakley, C. O.

J\1athell1Olical Slatistics 211d edn (Fren[icp~Hall 1971 )

Introduction to j\;[athemalica/ ,')'talistics 4th edn (Wiley 1971)

illiaflzel17atical Statistics with A p plicatiolls (Duxbury 1973)

['r;l1clplc,\' of Mathematics Chnpiel' 1) (McGraw·oHill 1955)

FeUer, W.

Chwdenko, n. V.

Hine, J. & Wetherill, G. B.

Kolmogorov, A. N.

Lipschlltz, S.

L00VC, M.

Moran, 1'. A. p.

Prerequisite 0/' Corequisite

Hours

Examination

ContrHi

An Introduction to Probability Theory and its Applications Vol. I 3rd edn (Wiley 1968)

T/zr Theory of Probability Chapters I & II (Chel sca 1962)

// Programmed Text ill 5'tatistics Vol. J~.

Summarising Data; Vol. 2--13asic Theory: Vol. 3--·-The Hcst and X2 (:foodness of Fit; Vol. 4--~Tests on Variance and Regression (Chapman & Hall 1975)

Foundations of the Theory of Probability (Chelsea 1950)

Theory alld Problems of Probahility (Schaum 1968)

Probability Theory pp.1-18 (Van Nostrand 1960)

All Illtroductioll to Probability Theory (Oxford UY. J%B)

Topic H

1 lecture: hour per weck and 1 tutorial hour per fortnight

One 2-hour paper

This topic io all introduction 10 some methods of statistics and its applications. The lectures will inciude the following topics--M arkDv chains, regression, correlation, comparisons of two or more S8Il1ples, (. tcsts, one-w,ly analysis of variancc. '.Vhercver ilppropriatc, both par:unc1ric and nOl1-p:lJ"mnctric tcst'i will be con,.,iclcrcd.

'{exl

Freund, .I. E. or Hoel, p. (J.

References

Draper, N. R. & Srnith, H.

KC1TJCny, J. Cr. & Snell, .I. I,.

NoethcL G. F.

Mathenwtical Statistics 2nd cdn (Prcntice~Hall 1971)

lnlroi!uclioll fo A1ati1el1l(llicnl Stali.I(;cs Ifth edn (Wiley 1971)

Applied Regress;oll A nalysis (Wiley 1966)

Finite Markov elwins (Van Nostrand 1967)

Illtroduction to Statistics: A NOllfJorametl'ic A p[Jroach 7.nd cdn (Houghton/Mifflin 1976)

39'

(i6:t311~ 'rOllic J ~~ Topi(: in Applied Matbcmllltil'l') (fJ.g~ :UyI)3lHtcfl~ ~C. A. Croxton

Prerequisites or COfequisite

Hours

C'ontent

Topics C and E Topic CO

.1 lecture hour per week and 1 tutorial hour per fortnight

One ?,··jlOlIr paJler

Summary of vector algebra. Velocity and accelerations. Kinematics of a particle. NeWlon's Law of Motion. Damped and forced oscilla· tions. Projectiles. Central forces. Inverse riquare law. The energy equation. Motion of a particle system. Conscrvation of linear momen­tum and of anf,ular momentum. Motion with variable mass. If time permits, threr>dimensioual motion and Lagrange's equal iOll:i.

References

Chor1toll, F. Goodman, L. T.':. Marion, .T. B.

Meirovitch, L.

Nil

Textbook of Dynamics (Van Nostrand 1963) Dynamics (Blackie 1%3) Classical Dynamics (Academic 1(70)

Methods of Analytical DYllamics (McGraw··Hill 19'10)

(i(i230;1 TlJpi~,.lK ~~ ';COllie 111. ll'm'4) Matbematks e.g, (J:rmlll 'JI.'lmOliy R. F. Berghout

Prerequisites

Hours

Content

Nil

1 INctnrc bOllr pfr wc:ck and 1 tutorial h0m P(~!' fortnight

01\C ~··hour papcr

(lfOups, sublJ,mlljls, ismllorpi1isrn. l'cnnut;.lIi(111 gnJ1l)lC', gr01J1l.S of linear transformatiolls and matrices, isometrics, symmetry groups of regular polygons and polyhedra. Cosets, Lagrange's theorem, l10rmal subgroups, isomorphism theorems, correspondence theorem. Orbits, stabilisers, and their applications to the Burnside-Polya counting procedure and classification o.f finite groups of isomctries in R2 or R3.

Ref erences

Budden, F. J.

Coxetcr, H. ~';. M.

Nil

The Fascination of Groups (Cambridge UP. 1972)

Illtrod1lction to Geometry (Wiley 19(1)

Herstein, 1. 1'1. Rotman, J. J.

Weyl,H.

Prerequisites

Hours

Examination

Content

Topics ill Algebra 7nct elln (\Viicy 1975)

The Theory of Groups: all Introduction (Allyn & Bacon 1966)

Symmetry (Princeton 0.1'. [()52)

Nil

J lecture hour 11(;(' week ulld I tutorial hour per fortnight

One 2··hour paper

Examples of metrie and llormed Jiucar spaces; the topology of metric spaces. Convergence of sequences, completeness. Clus1er poinls and closure. Continuily of mappings and of linear mappings OIl normed linear spaces, uniform continuity. Uniform convergence of sequences and series of real mappings, applications to differentiation and integration of sequences and series of real mappings, power series. Compactness, the equivalence of tbc various forms of compactness for rnetric spaccs; llnite dimcnsion;)! llormed linear spaces.

'(ext

eilts, J. R.

References

Dieudonnc, J.

Giles, J. R.

Gt)ldhcrg, R. H.

i\kndcboll, II.

Sillll11011;;, n. F.

While, A. J.

AII(fIYlis of !vIe/tic Spoc('s (l InivCfsity of Ncw~ castle 19'7·'1)

FOlllldatiolls () j Iv! odcrn A IlIIiysis (Academic 1960)

Flea/ Allalysis----{/i/ introilllcto}'v COlll'Se (Wiley 1973)

Methods of Relli Aflillnis (Cinl1 llIai~dtl1 19(4)

liltrodllctioll 10 Topology (Blackic 19(13) IlltrocillClioll to TOf!oio~;y (Iwl {\1odern A lIall'sis

(McGraw·,Hill 1%:1)

H.Nti Analysis (Addison~Wcslcy 19(8)

I' ART In §UBn1;CT§

The Mathematics Depal1lll1t>nl: ofrers ,1w{J ]['lui UJ! lVi~d:hem:ltk!l 5ubject8, each comprising fOllf topics ChOSl>Il :from the list below. It i\lt~[} offe:rll Par.1: HI subjec·ts in CompnteI' Science a'lld Statist'ics whtich arc d.eso'ibed on page 75 et seq. Students wishing to proceed to Honours in Mathematics are required to tak(l both Mathema;tic~ subjects. Stude;nts wisltingtio pmceed to (lomhined HOllour;; are required to take MatlKcnmtk9 UIA (o!Y,etheT with 1:11", appmp,

41

ri,,[o subject from Se-hl':dule H. Studemts proceeding to Honours will also be required ,(0 Sltudy 'additdonal topics as pr{%cr:ibed by the Hea.ds of the Depm1t.menits cOllc(!'rncd.

Passes in both Matl1cuultics llA and He are prerequisite for entry to Matilematicfl rnA, and Mathematics lIUA is pre- or coreqnisitc for Mathematics nIB, It will be assumed that students taking a third-year subjec,t in 1979 have akeady studied t'Opic& CO, D, K and L in 1978 (or C, D, E, Kand L if passed prior 1:0 1978) in the,jr Part n subjects.

Stude11lts from other faculties who wish 10 enrol in particular l'm<t ill topics, according to the course schedules of those Faculties, should consult tho particulars of the list below, and should consult the lecturer concerned. In particular, the prerequisites for subjects may not aU apply to isolated topics.

Studenl(s wishing to c.l1'f'ol in StJa'tilYtics III sih'OuJd aycyid taking topics R, U and Y as Mruthernrutic.<; InA topics, and students wishing to enrol in Oomputer Science HI should note l,hat topics. 0, PL, TCand Z may be chosen as topics in either Mathhcmallics nrA or CornplltCl' ScicJl{:e 11£, but nnu both.

Summaries of the,~e topics, together with texts and references, appear OJl

page 43 cit seq. of this hU'll{ibook.

lLil,t of TOI)icfl for Pm·t Ill! Mathcmaiks

l'Ol'ic FM M N ()

P I'D PI.

;Q

R s

FOlludations of !\t.uhernatk" (Jeneral Tensors Variational tvletlwds IvfathematicaJ Logic Ordillary DiJTf'rcntial Fqurttit)jl.l. Partial Djff{~rcntial .Equatiolls Proeramnting J ,anguages & Advanced Applications In Fluid DYllnmico;:.

(;eonwt)'y' .j' GnnljJ '1 IiCllI),

'rc l"heory of CornpuUng U Design & Analysis of 1-~xperinwnis

V ivh:aslIre Theory & Integration \V Analy"is of Nonned Linear ~P~H't'~

X RillgS &. l-;'iehls y Theory 01 Probability Z Mathematical Principles of Numerical Analysis

·i This lopic will not be of Ie red in 1979.

!'!'(;r(:(juisii~

K, L

c':' C". 1,,:,

K. L cn. n. L

E" Computing .1,'

B. C''. 1':':' II (','

n, l~

C*, F H L

L Il. K

CO, H c.* n. F'"

" No longer oHered. From 1978 will be replaced by Topic CO. The selection rules and definitions of Lhe Ibmt J[]J. subjects follow.

Prereqllisites

llours

Matllemalics llA 8.: IlC

fj. lecture hou!'s and 2 tutorial hOllrs per week

Fach topic is examinrd separately

COil/em

A suhject comprising four topics, which must include 0 or FM or both and at least Olle of P, PD, Q, R, U or Y. In addition, students taking this subject: will be required to complete an essay on a topic chosen from the history Of philosophy of Mathematics.

Prerequisite or Corequisile

Hours

ExamiruUi()1l

Content

Mathematics Il[A

4 lecture hours and ;z tutorial hours per week

['ach topic is examined separately

A subject comprising four topics chosen from the uustarred topics listed above.

Notes 1. In order to take both lvlathcmaties IlIA and Ivlathcmatics BiH, a stu0ent llH_lSt study

eight topics from tIle abllye, with th~ restriction. that Top,ic 0 or 'fopic FfVl, nud at least onc of P, PD, Q, R, U or Y lllust be 1l1cludecl 111 these eIght tOIJles.

2. Students VI/hose course includes a subject 1'1'0111 Schedule H l1ny have the.if choice of topics further restricted.

3. aiming to take IvlalhClnatics IV may be required to tltl(kftak(~ study of mon; the ei~ht c(ylilpri1.liuB the t\VO Part 111 :iubjecb

Prerequisites

UOlll'I'

.ii.romina/ioll

COlltellt

Topics .1<. & L

I lecture hour !1t'r week nnel I !l1torial hour per fortnight

One 2~hour paper plus several assignments and short tests

First and second year topics hav(' introduced 1I1l~ real !t!.lllibcrs axiomaticallv. Hut whal reasons do we haw: lor assuming the existence of a unique" real number system? Vv'here do the axioms come from? Why stop with the real, or complex. numbers? This (('pie is aimed at answering such questions. J n the process some set theory, logic and the algebraic properties of variolls number syslerm will be studied. So will issues of canlinalitv. ("Arc there morc rationals than integers? More reals than r:lliorl:!I<;')") The fOl!lldaticll1'; of geometrv will also be invf'stigated.

Text Clll.iertOll, II. B. l-Jni/i'lIls oj Sft Tile!)l] (Academic J9TI)

Rejerences

Birkhoff, G. & MacLane, S.

Blll'rill, C. W.

Cohen, L. & Ehrlich, G.

Courant, R. & Robbins, H.

HafstrOlIl, J. E.

Halmos, P. Landau, E. Wilder, R.

Prerequisite

Hours

/c'xtlillinutiofl

Content

A SII/,PCY oj A10dern Algebra 3rd cdn (Macmillan 1965)

Foundations oj Real Numbers (iVlcCir:.1W,-HiJ] 1967)

[he Structure oj the Rcal NUlJ1bn System (Van Nostrand 1963)

What is Mathl'lI1atin? (Ox.ford I % I)

Introduction -to Analysis ([Ild Abslra(1 Alsebrct (Saunders 1967)

Naive Set Theory (Van Nostrand 1960) FOlilldatiofls oj Analysis (Chelsea 1951)

lntrodllctioll to the FOllndation oj Mathelllatics (Wiley 1%5)

Tupic C or CO

I lecture hour per week and 1 tutorial hour per fortnight

(Jue 2,,110111' paper

Vector spaces: basis, change of ba,is; dunl spaces; dual basis; con·­navariant and covariant components. Point spaces. Tensor algebra. Tensor calculus: derivatives and differentials; Christtlifel symbols; ditferential operators ill curvilinear coordinates. Riemannian spaces: tangential and OSCillating Euclidean metrics; Geodesics; curvature tensor; Ricmann·ChristoHel temor. Applications: dynamics; continuum mechanics.

Text

Rej erc/U'cs

Lichnerowic:t, A. Sokolnikoff, 1. S.

Wells, D. A,

Willmore, T. J,

Nil

lJemcnt5 oj '{cnsol' CalclIltls (Mclhclltl 1962)

·JellsOJ' Allaly.lis--IlzeoI'Y anrl Applications to Geometry alld kJcrhallics oj Continl/({ (Wiley 1964)

Theory [{nd Problems of LORUlIlr;iul/ j)Vllillllics

(McGraw .. I-lilJ ]%7)

,11/ Introduction to Dijferential CCOincll'.\' (Oxford j (r/2)

44

66310;1, 'I'Ollic N

Prerequisite

[Jours

Examinatioll

Contcllt

Vari:diollal Methods .~~ T. K. She1lg

Topic CO

1 lecture hour per week and 1 tutorial hour per fortnight

One 7.··hour paper

Introduction-·· statemellt and formulation of relevant problems .-. functionals. Euler··Lagrange equation .-- fixed boundaries --. weak variations - corner conditions - the second variation ._-- functionals involving derivatives of higher order -. several independent variables

paraI~etric representation. Moveable boundaries .. -. transversality conditions-Hilbert's integral. Strong variations. Isoperimetrie prob­lems. Direct methods of solving variational problems-- numerical solutions in the simplest problem ~ Rayleigh··Ritz method -- Galerkin method. Applications -- dynamics of particles vibrating string Sturm·Liouville eigenvalue-eigenfunction problems -- vibrating mem­brane --- groundstate of the helium atom nonlinear problems -~~­growth models in economics.

Text

References

Arthurs, A. M.

Elsgolc, L. E.

Hadley, fl. & Kemp, M. C.

J\likhlin, S. G.

Wcimtock, R.

Prerequisites

HOllrs

Exalllination

Content

Nil

COlllplementary Variational Principles (Pergamon 1964)

('a/cllllls oj Varia/ions (Pergamon 19(3) V ariational Methods ill Economics

(North~Hollancl 197J)

Variational Jl.1 ethods ill Mathematical Physics (Pergamon 1964)

Calcullls oj Varialiol1.l' (McGraw,-HilI 1952)

Topics K & L

I lecture hour per week and 1 tutorial hour per fortnight

One /."hollr papcr

Introduction: inference fules as a formalisation of deductive processes; sets; axiomat.ic theories: predicates. The sentential calclllus, predicate calculus and predicate calculus with equality. First order theories; consislency, independence and completeness. Examples will be taken from the usual axiomatically defined Mathematical systems, and Giklel's undecidability lhel)rem will be discussed.

cl5

:rext Mendelson, E.

References

Crossley, J. et al.

Endertol1, H. B.

Introductioll to A1athelllofical l.ogic (Van Nostrand 19(4)

What is MothclI/aticlil Logic! (Oxford 1972)

A M'({fhcmatical introductioll to Logic (Academic 1972)

Hayden, G. r:. /{'f'l7lclo-Fral'nkd ,)'c/ Theory (J\lcrrill 1'>6R) & Kennison, J. F

KJeenc, S. C. Mathematical Logic (Wiley 1967)

l'rerequisites

Hours

Exarnmatiol1

Content

J. n. Couper

Topics CO, D & L

1 lecture hour per week and 1 (utorial hour per fortnight

01H' 2hou r papcl'

Stability for linear systems with constant coefficients, sinks, ~;O\lrce, a.nd hyperbolic. flows. Existence, uniqueness and properties of solu­tIons for non,·Jmcar systems. Stability and persistence of equilibria illld closed orbits.

Text Hirsch, .M. W. St.

Smale, S.

References Coppd, W. A.

Hale, J. 1(, Jordan, D. W. &

Srnith, P.

Prerequisite

Hours

Emm;lIatiol1

Content

Differential Equatiolls, DVIl(lll1icai S)',I/1'11I5

({/ld Linear Algebra '(Acadcmic'1974)

Siability and Asymptotic Behnl'iolll' of Differential Eqllotio/is (Heath J %'i)

Ordinary Differential Equations (Wiley 1969) NOT/linear Ordinary Differclltial Equatiolls

(Oxford 19TI)

Topic CO

1 lecture hour per week and 1 tutorial hom per fortnight

Onc ). hour paper

~irst order equations and second order equatiolls. The Laplace equ;].­lIOn, the wave equation and the diffusion equation. Integral transforms C ' f . " -Treen s.unctlOl1 and other methods. Applications in dynamics, fluid mechalllcs, heat flow, potential thenry, etc.

Text

l?eferrl1ccs

Courant, H. & Hilbert, D.

Epstein, B.

Haack, W. & Wendland, W.

Smith, M. G.

Sneddon,£. N.

Nil

Methods of j\;falhematical Physics Vol. 11 Partial DifJerential Equatiolls (Tnterseience 1966)

/'({l'li(l1 Di[jerential Eqllatioll.\··--(lIl Introduction (McGraw-Hill J962)

'"('cturcI' 011 Partial and ['hajlillll Dif}crcn/ia/ Equations (Pergamon J 977.)

[lIlror/lIction 10 the Theory of ParliaT DifJerential Equaliolls (Van Nos(rand 1967)

rlClllcl1ts oj Partial Dif/erelltiul Equations (McGraw-Hill J 957)

663l.11 T<I.llc1k J'I, l'rognnnming l,;mgm<gcs &; lHlv!!H~!1(l Ar1ll1katiollfl ill (~l1Il1lmtl!lg-~n. W. Blatt

i'rerc(jllisite

Hours

Content

Topic F

1. lecture hour per week and 1 tut.orial hour per fortnight

One 2AJOlU' paper

Classificatioll of the prillcipal Iypes oj programming languages, with detailed comparisons of the properties of representative languages of each type. Review of the mutual in[]uences betwcen the design oj languages and tbe nature of the applications for which the lang113gcs have originally been intended. Presentation of the current state of mathematical and computational work ill selected advanced topics, C.g. artificial intelligellce, information retrieval 8nd handling of large data bases, computation with symbolic expressions.

l? e/ e/,e/ll:es

Aho, A V. et DL

Griswold, R. E. et al.

Hunt, E B. Jcnsen, K. &.

Wirth, N.

McCamcron, F. A.

Nil

l'ill' [)csigll and A Ilal),,,is of Computer Algorithms (Addisoll-Wesley 1974)

Tlte SNOBOLA Progranlillillg Language 2nd cdn (Prentice,Hall 1971)

/1 rli/irial IlltclligellCc (Academic 1975)

PASCAL-Uscr /\1mllwl (lild [{cflO!1

(Springer-Verlag J 974)

COBOL Logic alld l'rogrmllmillg (Irwin, Dorsey 19'14)

117

McCarthy, J. Sammet, J. E.

Siklossy, L. Tucker, A. B. van Rijsbergen, C. J.

USP J.5 Programmer's ii4amwl (l\HT 1965) Programming Languages; History and

Fundamentals (Prentice~Hall 1969) [,et's Talk LISP (Prentice~Hall 1975) Programming Languages (McGraw<Hill 1977) Tnformation Retrieval (Methuen 1975)

6631115 ~rOI}lc Q~F'ltiid nymunlcs~~Not ofkl'cd in 1979

Prerequisites Topics n, CO

Hours

Examination

Content

1 lecture hour per week and 1 tutorial hOllr per fortnight

One 2~hour paper

Basic concepts: continuum, density, pressure, viscosity. Derivation of governing equations for the motion of an ideal (nol1~viscous) fluid. Investigation of simple flows; particularisation to cases where 'motion irrotational, and further, to instanccs where the flow can also be considered two dimensional (e.g., surface wave motion). Introduction to the powerful complex variable method of solution for the latter type of motion. Comparison betwecn idcal and real fluid flows; boundary laycrs.

Prerequisite

[{ours

Examination

Content

P. K. Smrz

Topic H

1 lecture hour pCI' week and 1 tutorial hour per fortnight

One 2-hour paper

This topic extends the study of probability and statistics begun ill Topic H. Sampling distributions. Generating functions. Random vectors and multivariate distributions. Mcthods of estimation: momcnts maximum liI~el.ihood al1~ least squarcs. Properties of estimatcs: bias, 'sufficiency, mmmmm vanallce, etc. Hypothcsis testing: Neyman-Pearson lcmma likelihood ratios. Bayesian mcthods. Regr~ssion. Analysis of variance: Non-parametric statistics.

Text

References

Cox, D. R. & Hinkley,

Nil

Theory of Statistics (Chapman & Hall)

43

Kendall, M. G. & Stuart, A.

Mood, A. M. & Graybill, F. A.

Silvey, S. D. Zehna, P. W.

Prerequisite

HOltrs

Examination

Content

The Adval/ced Theory of Statistics:; voIs. (Griffin 1968)

Introduction to the Theory of Statistics (McGraw-Hill)

Statistical Inference (Chapman & Hall 1975) Probability Distributions and Statistics (Allyn

& Bacon 1970)

Topic CO

J lecture hour per week and 1 tutorial honr per fortnight

One 2~hour paper

Euclidean geometry: axiomatic and analytic approach, transformations, isometries, decomposition into plane reflections, inversions, quadratic geometry. Geometry of incidence: the real projcctive plane, invariance, projective transformation, conics, finitc projectivc spaces.

Text

References Blumenthal, L. M. Coxeter, H. S. M. rishhack, W. T.

Meschkowski, H.

Tuller, A.

Prereqllisites

Hours

Examination

Content

Nil

Studies in Geometry (I<'reeman 1970) Introduclion to Geometry (Wilcy 1969) Projective alld Fuelideall Gcometry (Wiley

19(2)

Unsolved and Unso/wlble Problems ill Geometry (Oliver & Boyd 19(6)

A Modem Introduction to Gcometries (Van Nostrand 1967)

Topics D & K

1 lecture hour per week and 1 tutorial hour per fortnight

Structure of groups: Sylow theorems for finite groups; Series decom­position of groups; soluble groups; nilpotcnt groups. Finite and infin~ ite abelian groups. Free groups, and presentation of groups in terms l)f gelJerators and relatiollS.

'{ext

Baumslag, B. & Chandler, B.

OR Macdonald,

Reference Rotman, J. J.

Prereqllisites

II OIlI'S

Examillatioll

Con lent

D.

GrollI' Theory (Schaum 19(8)

'fhe 'theMY oj UI'OII[l,l' (Oxford 1l.P. IlJ()X)

The Theol'Y oj Grolips (Allyn & Bacon 19(iG)

R, W. }{obinsol!

Topics CO & F·

1 lecture hour per week and I tutorial hOllr per fortnight

O.]e 3-hour papeJ' :md assigIllllcllls tli l'l\llgllOUt

the year

This course will interest science, mathematics and engineering students who arc in1crested in the theoretical foundations of computer science. Mathematical Modcls of Computers: Finite Automata are introduced as a first approximation to a model of a computer and some of their properties arc studied. Three equivalent rnodels of computation are then introduced and compared. These models are Turing machines, counter machines, and recnrsive functions. Some of the lirnits of models of computation (unso!vability) arc also discussed. Algorithmic Aspects of Computation; How "good" an algorithm do we have for performing some computation? Is there allY way in which we can say that some algorithm is the "hest" for acc();npli~hing SOllle task? Program Correctness: IVJcthoc/s of pfop,ram \'crificaliol1 arc inlroduced and discllssed. Formal Languages and Parsing: Methods of systematically and formally specifying the syntax of programmillglanguages arc dis.~ eusset!. Somc parsing methods are introduced.

Text

References Aho, A. V., Hoperoft,

J. E. & Ullman, J. D. IIopcJ'oft, J .E. &

Ullman, J. D. Wirth, N.

Nil

The De,ligll and Analysis oj Compulcr Algor­ithllls (Addison-Wcsley 1974)

Formal Languages and Their Relation to Auto, /IIata (Addison-Wesley 1%9)

A Igoritli m.l· -1- Data ,':,'/rl/ctllres Pr()grwflS (Prcntiee .. Hall 19'16)

50

Prerequisite

flolirs

};;xaminatiofl

Content

Topic H(,)

1 leeture hour per week and 1 tutorial hour pel' fortnight

One 2-hour paper

Concepts of experiments: tlie hypothesis, and hypothesis testing. Revision of the X2 and .F distributions. One-way and two-way arrangements, and their analysis. Randomized blocks. The following will be discllssed where appropriate: orthogonality; 1he general linear model; a posteriori analysis.

Text

References

r'isher,R. A.

Hoe!, P. G.

l<Jil

The Design oj FXflerimcn/s AllY edn (Oliver & Boyd)

lntrodllctioll 10 Mathematical Statistics Illh edIl (Wiley 1971)

Peng, K. C. The Desigll (lnd A l/a/ysis oj Scientific E'xperimen/s (Addison-Wesley 1967)

(,:,) A lmowlcdge of Fortran will be assumcd. While there is IlO corcquisifc topic, students arc advised to study Topic R also.

Prerequisite

11 ours

Examination

Content

Measnre 'jrhem.y & llltegmtioll .~,~ V. Ficker

Topic L -- Analysis of Metric Spaees

I lecture hOHr per week and 1 tutorial hour per fortnight

One 2-hour paper

Sets and dasses of sets: ril'gs, algebras, (Hiugs, (fooalgebras, generated rings and generated (J'"rings. Measures and outer measures: extension of measures, Lebesgue measure, measurable functions, combinations of measurable funetions. Integration, integrable simple functions, integ· rable functions, Lebesgue integral, convergence theorems. Lp spaces, Fubini's theorem.

Text

References

Bartle, R. Cr.

Nil

The Flel1lelll~ of /lllegf'(ltioll (Wiley 19G(i)

.'\1

Burkill, J. C.

de Barra, G.

The Lebesglle Integral (Cambridge U.P. 1961) Introduction to Measure Theory (Van

Nostrand 1974) H.almos, P. R. Measure Theory (Van Nostrand 1950) Kolmogorov, A. N. & lntl'oell/ctory Real Analysis (Prentice-Hall 1970)

Fomin, S. V.

Prerequisite

Hours

Examination

Content

10pie L

1 lecture hour per week and 1 tutorial hom pCI' fortnight

One 2-hollr paper

Banach spaces; continuous linear mappings; topological and isometric isomorphisms. Finite dimensional spaces and their special properties. Dual spaces; the form of continuous linear funetionals on example spaces. Hilbert space; the representation of continuous linear funetionals. Hahn-Banach theorem; reflexivity. Category and Baire's theorem; the open mapping, closed graph and uniform bounded ness theorems. Conjugate mappings; adjoint and self-adjoint operators in Hilbert space, Complete orthonormal sets in I-Iilbcrt space.

Text

Giles, J. R.

References

Banach, S.

Brown, A. L &. Page, A.

Giles, J. R.

Kolmogorov, A. N. &. Fomin, S. V.

Linsternik, L. A. & Sobolev, lJ. J.

Simmons, G. F.

Taylor, A. E.

Wilansky, A.

Allalysis of Normed Linear Spaces (University of Newcastle 1976)

Theories des Operations Lincairo' 2nd edn ( Chelsea)

Elements of Functional A 11 a Iysi.\· (Van Nostrand 1970)

AnalYSis of Metric Spacp,\' (University of Newcastle 1975)

Elements of the Theory of FUllctioll.l· alld Functional Analysis Vol. I (Cirayloch 1957)

E'lclI1cnls of Flinctiollal Allalysis (Frederick Unger 1961)

IlltJ'Odllction to Topology alld Aiodp/'ll Analysis (McGraw-Hill 1963)

Introduction to FUllctional Analysis (Wiley 1958)

FUllctiollal Analysis (Blaisdell 1 %4)

Prerequisites

Hours

Rxamination

Content

Topics n & K.

1 lecture hour per week and 1 tutorial hour per fortnight

One 2··1101.11' paper

Rings and fields, ideals. Euclidean rings, unique factorisation domains, factorisation of polynomials. Extension fields. Algebraic and trans·· cendental numbers. Trisection of angle, duplication of cube, squaring of circle. Finite fields. Galois theory, solvability by ICldicals, l1Dsolv~ a bility of general quintic by radicals.

Text

References

Birkhoff, G. D. & MacLane, S.

Herstein, 1. N.

Kaplansky, I. Stewart, I.

I'rereqllisites

II Olll'.\'

Exmninafion

COil tent

Nil

A ,Survey of Modern A Igpln'o (Macmillan 1953)

'Topics ill A 1gebm (Wiley J 975) Fields and Rings (Chicago U.P. 1(69) Galois Theory (Chapman & Hall j 973)

Topics CO & 1-]

1 lecture !Jour per week and 1 tutorial hour per fortnight

One ?~llOur jJ8jW],

Probability spaces, extension of prohabilities, random variables, integration of random variable;, various types of convergence of random variables, conditional expectations, independence 01 random variables and products of probability spaces.

Text

References

Burrill. C. W.

Fellcr, W.

I(ingman, J. F. C. & Taylor, S. J.

Lneve, M.

Nil

McaslIrc, Integration and Probability (MeGraw~Hill ] 972)

;1/1 lntroductioll 10 Probability Theory and its Applications Vol. I & II (Wiley 1968)

llltroduction to Measure ([nd Pl'obabilily (Cambridge V.P. 1966)

Probahility Theory (Van Nostrand 1960)

c. Prerequisitcr;

Hours

Examination

Content

:l, MatbcmllUcal K'dllciplctl of Numcrical Analysis .~~ Cmxtvn

Topics C <11\(1 D

1 lecture hOll), per week and 1 tutorial hour per fortnigbt

One /·holll' p~lper

Solution of linear syslcms of algebraic eqnations by direct (we! linear itcr3tivo methods; particular attention will be given to the influence of various types of errors on the -numerical rcsult, to the general theory of COl1Vergcllce of the latter class of methods and 10 the con­cept of "condition" of a system. Solution by both olle step and mlllti~ step methods of .initial value problems involving ordinary differentia! equations. Investigation of stability of: linear ll1ardling sc!lellw,. Boundary value problems. Finite-difference and finite-element methods of solution of partial difIerentin.l equations. Some analysis background and some experience in programrning computers is as:iumcd but no prerequisites of numerical analysis courS(~s wiLl he

Text

References Cohen, A. M. et aI.

Daniel, J. W. & :M o O1"e , R_ E.

Desai, C. & !\bel, J.

baacson, E. & Keller, H. M.

Lambert, J. D,

Mi!chel1, A. _R.

Ortega, .1. M.

Phillips, G. _M. & Taylor, P. J.

Smith, G. D.

Str:Jug, G. & G.J.

Nil

Numerical Analysis (McGraw--HiIl 19'13) Computation and Theory ;/1 Ordirmry

Differential Equaiiolls (rirceman 1970)

Introduction to the l"il1ife Elemcnt lvletlwd (Van j'Iostrand 1972)

Analysis of NlIli1aical Methods

ComputatioNal/ldeihods ill Ordillary Differelltial EquatiollS (Wiley .I9TJ)

1%6)

ComIllltaliOlwl Methods in Parlial Differential Equations J969)

Nwnerical Analysis A Second COllrse (!\endemic 1977,)

and Applications of Numcricai Analysis (Academic 1973)

Numerical Solution of Partial Differential Fqlfaliolll' (Oxford U.!'. J96:3)

All Analysis of the Finite Element Iv[etliod (Prentice-Hall 197:{)

664HlO Malhemalkl> IV

Prerequisites Matbcll1ilties IHA ilnd either Mathematics HID or Computer Science III, and additiomll work

llours

Ewmillalion

as prescribed the Head of thc of Mathematics. A SjllClellt ;ldmi.)sinn to this 1l1u.,j apply iJi writ to the Hcad of Depart·· mcn! before 7th December oj' the preceding year. Students who have Science HI l1ny, with the I--Jean of the of ]\;j athematic", select not more than hail' of their topics of silldy from a

kt of courses rcL:.lcd to com .. puler ,eience alld ill other This list is printed (ltJ p;lge 72 ..

At least g kdnre hours pC;)' ~\'(:t'k over onc full-time yf':1l' or 4 lecture homs per week over two part--iime years

At lewil 7,-hour final paper.s A thesis, i_c., a under direction of a

topic n:;ing relevant published malerial in writlen forlll. Thc

may he from matics including Pme

Stal'i_sl ics, l{c~)earch us

pubiicatiol1 lvfarilenwlica[ ReviClvs. COil tent A selection of topics, eaeh of about 2'1 lectures, witI b" offered. Summaries of topics which IflilY be offered in 1979 follow.

l'rereq lIis!tc Topic X

H o III'S Abolll Tl kctufl, b.ollrs

Fxaminalioll

~~t • This course is to an examination o[ the C()ll(~ept or "IlHturality" in mathematics. Categories and funclor:; will be inl~-o~ dueed as nnifying concepts underlying mueh of mathemaucs. AcijOlllt

f.UllCiol's wjl~ be discussed in SOlne depth and illustrated by applica-, :1.0115 to. VUflOlJS bran~l~es ot mathcmatics, particularly g10Up theory, llw eXistence of adJomt functors under certain conditions and it

monadic approa(;]l to universal algebra will end the coursc.

Text MacLane, S.

1\ ejfrel/ccs Arbib, M. &

Mancs, 1'. G. Dickson, S.

Praequisites

Hours

Examination

Content

C({/CgOl'ifS for Ilze Working Moti1I'JIl({liciol1 (Springer .l97J)

A trows, Structllres and FIIIlc!on: erfle Categoric({l Imperillivc (Academic 1975)

All lntrodllclioll to Categorical Algebra (Obtainabk- from J'v[athematies Depart .. ment)

Nil

;\ bOllt 27 lecture 110111'8

One 2~h()ur paper

r~his topie will briefly outline the classiCill theory of finite di!llcll';ional H:gebras ~l11d the. ~mergcnee of the concepts of radical, idernpotenee, nng, cl?am conditIOns, etc. Hopefully thus ~;ct in perspective, lhe next p.art. :VI]] deal with the Artin~Hopkins··Jaeobson ring theory and the ::gl1lf,IC'ell;.ee of other radi~a1s when finiteness conditions arc dropped. ? he. r~:'\u~~l~ betwe~n,var~Ol~; racllcals, noetherian left and right ,mJ]jhuatOls dnd the (lo1dIC~,jman theorems wJ!l end the topic.

Text

Rejerences Cohu, P. Divinsky, N. Herstein, 1. N. K,aplansky, 1.

N. Tolkien, J. R.

Wagnel.', It

}"rerequisite

llours

Examination

Nil

Algebra Vo/.2 (Wiley 1977) NiilgS aild Radicals (Allen .. Umvin 19(4)

(Wilry l%S) 1%'))

The Theory oj Rings 1%:;)

The Fellowship of the Ring (AllcncolJnwin 1974)

The Ring oj tize Nibelllllgcll (Philips 1973)

Tcdmiqlws.]J. W. 1'. HIail

Topic TC or Computer Operating

About 27 lecture hams

One 2 .. hour paper

56

Content

Methods of controlling concurrent activities in H computer. Time dcpendent errors, functional systems, the deadlock problem. Simple and conditional clitical regions, semaphores, message buHcrs, event queues, Hoare's monitor path expl'c)siol1s, Modelling with Petri nets, lnlrociuetiol1 to scheduling theory. Structured concurrent program" ming with practical work in "Concurrent Pascal," e.g., construction of typical operating systems internals, rcal~tjme systems.

Text

i?efcrfl1ccs

Brinch H.ansen, P.

Bfinch IIanscl1 .. P.

Coffman, E. O. & Denning, P . .f.

Habermann, A. N.

Shaw, A. C.

jJrereqili.\iie

flOIli'S

Lwmitwi iOIl

COlllClli

Nil

The Architecture oj Conclirrent Programs (Prentiec~HaU 1977)

Systl'n),I' 1973)

Operating Systems Them), (Prenljcc~Hall

1(73)

introduction 10 Opermillg J976)

Design

The Logical Design of () peraling Systems (lJrcntiec;.·Hali 197iJ)

Abuut 27 lecture hours

A course on some aspects of gnmp construction, whieh will include discussion of: prescntatiull of a group by generators ~1nc1 relations; presentation of a group as a gl'OUp of pernmiatiol1s, and a~; a sym, rnelry group or strlle(ure~[lrcservil1g group; rch:tiol1s hetween groups and some geometrical objects; representation uf a group as a group of matrices; construction of groups in various ways from known groups; constructions pre,;elving varietal and catcgorical construction of "generating" gronps for certain classes,

TeOl't

f{c! c},Cl1ces

Burrow, M.

Coxelel', II. S. iV!. 8: Most,!', W, 0, 1.

Feil', W. J.

Nil

l?cpl'C.I'cniatioll Theory oj Fillite Groups (Academic 19(5)

() I'liem IOrs anrl /<efalioll \. jo;' Oi\(,/,Cli' (,' roup.\' 1951)

('!tame/t'I's of ;'inill' C lOllI'S (llelljamill I ')(J<)

Han, M. J1'

Kurash, A. G.

W, et ill

Scott, W. R.

The T!teo!}' of CroujJs (J\iacmillan 1962)

nil' Theory of Groups Vols, I & II 1960 (1r. & eel. l(, A. Hirsch)

Combil1%rial GroliP ] /zeo}"), 19(6)

GJ'Olffl Theory (Pren[icc~~HalJ 1964) and other articles and books mentioned during the course.

Pre reqll isite .I'

Ho II I'S J\ 1)()l!L 27 lee(!!Ie how,

Content expansions ·-low solutions;

hi8h density solutions: numerical solll~

equations; phase lransitions---ciiacnllmmllic approach; critical phenomena; the liquid sur Lace; liquid metals; liquid IHoleeulnr and lVfoule Carlo eOlllpuier simulalion; irrevers· ibility;

T!!xt

e, I\. , fllfrodllCiioli to Stale

Referellce 1')/5)

Croxton, " l'i. Liquid St(!{e ,

J f}'('reo If isil ('

IJ Oil 1'.1' About 27 lecture hours

j ,X({fll inn I i011

('011 iell t

, onc dimeilsional mOliou; parily: potclllia!:

function; spin and sial phase shin allalysis; lluclellil-nuclcoll interaction;

. open!tors ilnd slale vecturs; Schriidine:cr of cquation of motion. Quantulli molceni;,!' Ilrhii:d;;;

thcorv: MO theo]'v.

Texts Croxton, C. A. Matthews, P. T.

Introductory Eigcl1physics (Wiley 19'14)

fntroductioJl to Quan/llm AfecJumics (McGraw­Hill 19(8)

664.1.40 Dynamical SystemM ,~~-. J. O. Conper

Prcrequisites Land P

flours About 27 lecture hours

ExmnillO tion

Contcnt This course will be concerned with the orbit structure of differential cquations and diffeomorphisms, wilh an orientation towards their stable and generie properties.

Text

l{cferences llirseh,M. W. 8<.

Smale, S.

Marsden, J. E. & MeCr:lekeu, M.

Z

Prereqllisit.(!

Hours

FXt!lllill(! I iOfl

Contel1t

Nil

)iD'erential Equations, Dynamical Systerns and .Linear AIRebra (Academic 1974)

TIl(' Hop! Bifllrcatioll {lfld its Applications (Springer· Verlag j'/76)

Jj Jlliil1lics (ivU,T, 1971)

Topk R

i\hO\li TI lecturc hours

Due ilonr paper

Multivariate distributions. General Li liear jvt(1d,~L Regression. Analysi, of Variance. of (ovarif1l1ee. VariaflC'\' l·\H!lpOnents. Expel'i·,

lllent al Design.

Fex!

N ejerc/1ccs Graybill, II.A.

Rau, C. R .

Searle, S, H.

Nil

:l'heol'Y and Application of thc Linear M~odel (Duxbury 1976)

UII('{l1' ,)'tulisticu! Illfercllce [Jill! lis A pplicntiuns (Wiley 1973)

lincar Models (vViley 1(71)

664153 Alf~ehmic

Prerequisitc

Hours

Examination

Content

Theory

Topic D

R. B. Eggleton

About 27 lecture hours

One 2-hour paper

The adjacency matrix of a graph. Path lengths, shortest paths in a graph. Spectrum of a graph. H.egular graphs and line gr(lphs.Homo­logy of graphs. Spanning trees. Complexity of a graph. The dcterminmlt of the adjacency matrix.- Automorphisms of graphs. Vertex transitive graphs. Symmetric graphs, with attention to the trivalent ca,;e, Covering graph of a graph. Distance,·transitive graphs. Realisability of intersection arrays. Primitivity and implimitivity. Minimal regular graphs of given girth, The course will finish with a selection of topics rclated [0 vertex anc! l!E~ chromatic polynomial, as time permits.

Text

Biggs, N.

References

Hondy, J. 11.. s~

]Vlurty, lJ. S, I< ... Harary, F. } "mcastel', p,

Wilson, R. ].

Prerequisite

Hours

Examination

Content

Algebraic Graph 'theory (Cambridge 197-'/)

Graph Theory with Applications corrected edn (Macmiilan 1977)

Graph Theory (Addison-Wesley 1969) Theory of Matrices (Academic 196i))

Introdllction to Grap/l 'Theory (Longrnan 1972)

Topic CO

About 27 leelure hOllE

One 2-holll' paper

Several areas of elementary number theory will first bc examilled at an introductory .level. These will include the Elldidean algorithm, Farey fractions, Diophantine equations, linear c01l2ruenccs and Euler's theorem. A rather detailed study of several major theorems will follow: the,e will be the Prime Number Theorem, the Qnadratic Reciprocity '],heorcm, and Dirichlet's Theorem on primes ill arithmetic pmgressioru;,

i.'ext Nil

60

Ref ('rellces

Apostol, T. M.

Davenport, H.

Hardy, G. &;

Wright, E. M. Nngell, T.

Rademacher, H.

Introduction to Number Theory (Springer 1976)

The Higher Arithmetic 3rd edn (Hillary 1968)

Introdllction to Numbrr Throry 4th edn (Oxford U.P, 1960)

introductiol1 to Number Theory 2nd edn (Chelsea 1964)

Lectures Oil Elementary Nllmber Theory (Blaisdell 1964)

664142 Topological GrllI~h Theory ~--. R, B, Eggl~ton

Prereqlfisite Topic CO

Hours About 27 lecturc hours

Examination One 2~hour paper

Content

This topic deals with drawings of graphs on various surfaces. It will begin with a brief introduction [0 the theory of graphs, to be followed by a fnirly detailed introduction to the topology of surfaces, with particular attention to [he classification of surfaces.

The main graph-theoretic areas to be treated are: Kuratowski's Theorem characterising graphs which can he embcdc1cc1 in the plane; genus, thickness, coarseness and crossing numbers of graphs; chro­matic number of a surface and the proof oj' the Four Colour Theorem by Appel and Haldn.

References

Blackett, D. W.

Bondy, J. ;\. & Murty, U. S. J~,

Harary, F. Ore, O. Ringel, G. White, A, T.

Nil

Elemel1tary Topology: Combinatorial and Algebraic Approach (Academic 19(7)

Graph Theory with A pplicatiolls corrected clln (Macrnillan 1977)

Graph Theory (Addisol1"Wesley ]9(9)

The Four C%llr Problem (Acilrlcmic 1967) Atap Colollr Theorem (Springer 1974)

Graphs, Groups and Sarjclces (North/Holland American Elsevier 1973)

Introduction to Graph Theory (Oliver & Boyd 1977,)

6.1

Prerequisite

Hours

Examination

Content

Topic V

About 27 lecture hours

One 2,,,hour pilper

Properties and sets of properties of families of sets. The intersection and the union of a collection of families. The minimal fmnily. Generating sequences for minimal families. Properties of minim<11 families. Relations between the sets of properties. Partienlar cases of families. Borel families. Subfamilies of sets. The countable chain condition. Families of null sets and their propc:rties. Families of small sets.

Texi

R e j el'ell('es

Dinculeanu, N. Halmos, P. R.

Nil

Vcctor i\lleoslircs (Pergamon J9G7)

Jl1easlirr Theory (Van NostnlJ1d 1950)

664154 Quantitative Aspeds of: Social I'lllm{jmem~ c~~. R. W. Gibbcrd

Prerequisites

HOllrs

EXanlilJutioll

Content

Topics B, D & H

;\bout: 2'1 lecture hours

()nc 7,·hom pap~J'

This topic will disru:;:; a colledion of ma(hC'm:ltieal models of social phenomena and intmettle(' a number of which might be considered when (0 model Arcas covered will be from population c1ynan1icf;, models of urban strneture and urban development, mmFj)owcr planning, social mobility, disequilibrium E'COllOmics and jhe stock market.

Text Nil

Uejerel1ces

Bartholomew, D. J. Stochastic .Models jor Social 1'1'O('C,I.\'('S

~l1d cdn (Wiley 1(73) Keyfitz., N.

)"IontroI1, E. W. & 'V.W.

Pollard, J. H.

lntroduction to the l11atllcmatics oj Popillation (Addison·Wesley 1%8)

Introdllction to Quanti/athe Aspects oj Social l'liC/lOlJlel1(l (Gordon & Breach 1974)

Mathematic(ll Models /01' the Growth oj Human Population.I' (Cambridge 1973)

62

Prerequisite Topic W or Corequisile

HOlfrs About 27 lecture hours

Lxumil1atiull One 2"llOtlr paper

C()/1t~nt

A Banach Algehra is a mathematical strudure where thc two main &trands of pure mathematical stllc1y-~-the topological and the algebraic ---are united in fruitful contact. The course will cover the following subject matter. Normed algebras; regular and singular clements; thc spectmm of an element and its properties; the Gelfand-Mazur theorem; topological divisors of zero; lhe spectral radius and spectral )napping theorem for pOlynomials; ideals and maximal ideals.

Commutative Banach algebras; the Gelfiwd 1heory and Ihe Gelfand representation thcorem.

Weak topologies, the BHnadH\laoglu theorem, the Gelfand topology. Involutions in Banach algebras; hermitian involutions; the Gdfand­Naimark representation theorem for commutative B';' algebras. Numerical ranrrc of an element in a l10rmed algebra; relation of the numerical range 10 thc spectrum; B* algebras are symmetric, dis" cllssion of the Gclfillld"Naimark representation theorem for IF algebr<1~.

Applications of llall;Jeh algebra theory.

Text

Bonsall, F. F. & Duncan, J.

!?ejcJ'l:w:C,\'

Bachman, (j. ""

Nariei, L. Bonsall, F. F. &

Duncan, J.

Gelfand, T. M., Raikov, D. A. 8: Shilov, G. E.

Nairnark, M .. A.

Riekarl, C. E.

Simmons, G. F.

Wiland<y, A.

C,;/llp!etc NO}'l1/ei/ Algebras J(73)

{'lIncliol1al A }}(Jlysjs (Academic; PreCiS 19(6)

Numerical Rallges oj Opr'ratoJ's 011 l\/o},lI1ed SPf'{CI'S Ilnd Elcments of NO!'!lwt/ A Igcbms (Camhridge U.P. 1970)

COIi/mutafive Nom/cd Rings (Chel,ea 19(1)

Norlllcci Ring.1 (NoordholI 1959) Gel/eral Theorv 0/ Banach Alr::cbms (Vnn

Nostrand 1 ')(i()

Introductio/l 10 'Iopulogy 11m! A1udcIll A lIaiysis (McGraw--Hill 1963)

rTillctiollal Analysis (Blaisdell 19G1l)

Cd

664158 (Convllx Amdysls~ J. R. Giles

Prerequisite or COl'equisitc

Hours

Lxaminalion

Content

Topic W

Abollt 27 lecture hours

Onc 2 cohour paper

Convexity has become an increasingly important concept in analysis: much of current research in functional analysis concerns general ising (0 convex functions, properties previously studied for the norm; much of interest in convexity ha, arisen from' areas of applied mathematics related to fixed point theory and optimisation problerns. The convex functions we study are defined on J10rmed linear spa(cs. The course will cover the following subject matter: basic set theory relating to convex sets and functions, and topological properlies relating to convex sets and functions, diHerentiability of convex functions, duality theory for convex sels and functions; extreme points of convex sets, the Kreinc·]\;filman theorem, the Brouwer and Sehauder fixed point theorems; Asplund's averaging technique for norms; convex functions and optimisation.

Text Holmes, R. B.

References

Bonnesen, T. & Fenchel, W.

Day, M. M. Diestel, .1.

Eke1and, 1. & Teman, R.

Jloberts, A. W. & Varberg, D. f::.

Hodmfeller, R. '1', Valentine, F. A.

Pracrj/{isite

floltrs

Examinatioll

Geomctric Functional A Ilalysis and its Appli., cations (Springer 1975)

Theorie del' f(ollvexcll J(orper (Sprill8Cl' 1934)

NU/'!1l('d Lincar J973) Geometry of Banach Spaces-~Se!('cted Topics

(Springer In.') Convex Analysis and Variatiollal Proh/elll.\·

(North Holland J 976) COlll'e.\' FUllctions (Acadcrllic 1(70)

COllvex A l1a/ysis (Princeton 19C

10) Convex Sets (MeC'rHw.,Hill 19(4)

Programming experience ill a high-level language is assumed

About 2'1 lecture hours

£i4

Content

This course covers the writing of medium to large scale software projects by dcveloping realistic programs that actually work and solve realistic problems. Emphasis is placed on (op~down design, structured programs, program portability and other aspecls of software engineering. The writing of successful programs will be an integral part of the course.

Text

Kerningham, B. W. & $ojtw{{re Tools (Adclisol1 .. Wesley 1976) Plauger, P. J.

l? e jerencr:s To be ad vised

66411() Mathematic!!l IVtodds of Pba5c Tmll£itions ,~. A. J. Guttmann

Prerequisite

Hours

Examination

Content

Topic P

About 27 lecture hours

One ;)~h()ur paper

Review of thermodynamics and statistical mechanics. Some rigorous results in statistical mechanic:;. Survey of critical phenomena and analogies. Clas~ieal theories of phase transitions. Exaet solution of two dimensional Ising model. Approximate results in three dimensions. Generation and analysis of exact series expansions. Anisotropic Heisen­berg model and symmetry of grollnd stale. Critical exponent inequali­ties and scaling laws. Asymptotic degeneracy as a mechanism of phase transitions. Kae models in one dimellSion. Heisenberg and Planar Classical Heisenberg model. Phase transitions [or some models of biological ,ystcrns .. ReIlllrl1lalizaiiol1 group theory.

Text

'fhollIpson, C. J.

References BrotH, R. H. Chretien, M. ct al.

DOlllb, C.

Domb, C. & Green, M. S.(ecls)

i'vim/zelJlUiicai ",'talis/ieal Medli/nit·s (lVTacrniiJan 1971)

Phase Trallsitions (Academic 1972)

Stalistica} Physics, Phase Transitions and Superjlllidily (Brandeis Summer Institute 1966)

Oil the Theory 0/ Co"Operalive Phenomena in Crystals (Advances in Physics 9 (149) 1960)

Ph({se j'm/lsitiOiIS and Critical Phenomena Vo]s. INl (Academic 1972, 19?3, 1974, 1976, 19T1)

:Fisher, M:. E.

Huang, K. Stanley, H. E.

Uhlenbeck, G. E. & Ford, G. W.

The Thcory of Equilibrium Crilic{d Phenomcna (Rep. Prog. Phys. 30 (615) 1967)

Statistical Mechanics (Wiley 1963) Introductioll to Phase Tmnsilio/ls alld Critical

PlienOllll!ml (Oxford U.P..l971)

Lectures ill Stalistical lvlecJwnics (1\111e1'. Math. Soc. 1963)

664150 GcncrlIl & Aigelmlic TOllOlogy «~~ M. 1. Hayes

Prerequisite Topic L

Hours Abollt 1'1 lecture hours

Examination One 7AlOUl' paper

Content

Topological spaces are sets with enough properties Oil which to study continuity. These lectures will concentrate on the geometric aspects of these spaces, and will include the following topics: separation, relative and product topologies, compactness, counectedness, homeo­morphisms, quotient spaces, homotopy and the fundamental group, deformation retracts. Seifert-Van Kempen Theorem. Coveting spaces.

Text

References

Cairns, S. S. Lefschetz, S. Massey, W. S.

Sinllnons, (I. F.

Wallace, 1\. 1-1.

Prererjllisitcs

Hours

EX(lIllinotiOil

Content

Nil

Introductory 'fopo!O!;y (Ronald 1961)

Introduction to TOf!ology (Princeton 1(49)

Algebraic Topology (Harcourt, Brace & World 1%7)

Introduction to Topo!ogV and l'viodcm Analysis (McGraw·,[iill 1963)

An lntrodlictiOit tu A 19l'bmic 'l'opology (Pergamon J.9(,])

M . .1. Hayes

T()pic~; V 8: W

About 27 ]celure hours

One 2~houl' paper

Tho theory of linear operator.s on Hilbert and Banach 'pClCl'S is it wry important theory and is valuable for applications. We consider the algebra of continuous linear operators on a llormed linear space, the spectrnm and nmnerical ralwe of a l'ollli!HiUllS iilH::lJ'

operator, and cOlljllgate opernlors.

We discuss the theory of compact linear operators and the Riesz~ Sehauder Theory for such operators. The course concentrates 011 spectral theory for clilTcrcnt types of operator on Hilbert space: compact normal, self-adjoint and normal operators.

Text

Brown, A. &. Page, A.

References

Jlachman, (r. ,,\[ Nadci, L.

Dunford, N. &. Schwartz, J.

1.orch, E.

Rudin, W. Schmeidler, W.

Taylor, A.

j';/el11cnls of Functional Analy.lis (V:m Nosl.ranc! 19'/0)

FU/1ctional Analysis (paperback Academie; 1966)

Lineal' Opcrators (fnterscience 1(51)

Spcciml Theory (Oxford 19()2)

Functional Analysis (lVIcGmw-HiH 1973) Lincal' Operators 011 Hilbert Space

(Academic 1954) FIltU'tiolla/ A /lil/ysls (Wiley 1953)

664145 ViSf(IIIS Jl1'low Theory W. T. F. Lan

Prcrequisite Topic Q

1l our.s· Abottt 27 ketllrc hOllrs

Examination One ~·h()ur llaper

Content

Basic equations. Some exact solulions of Lhe Navier~Stokes equations. Approximate solutions: theory of very slow motion, boundary layer theory, eLe.

Text

References

Batchelor, G. K.

Landau, L. D. & Lifshitz, .E. M.

Langlois. W. E. Pai, S. 1.

l{osenhend, L (ed)

Schlichting, n.

Nil

A II Introduction to Fluid Dynamics (Cambridge 1967)

Fluid Mechanics (Pergamon 1959)

Slow Visco liS Flow (Mm:rnillan 1964)

Viscous FlolV Theory Vol. 1 (Van Nostrand 1(56)

LaminaI' BOllndary Layers (Oxford 19(3) Boundary IJ!yer Theory (McGraw·"HiIl 19(8)

67

664118 Pedul'lmiloltl Them'y ,,~ D. L. S. McElwain

Prerequisites

Hours

/Examination

Content

Topic CO

About 27 lecture hours

One 2 .. hour paper

An introduction to regular perturbation methods, induding parameter and coordinate perturbations. A discussion of the sources of nonuni .. formity in perturbation expansions. The method of strained coordinates and the methods of matched and composite asymptotic expansions, The method of multiple scales.

Text

References

Cole, J. D.

Nayfeh, A.U.

664106 Combiuatoh'!cs

Prerequisite

flours

Examination

Content

Nil

Perturbation Methods in Applied Mathematics (Blaisdell 1968)

Perturbation Methods (Wiley 1973)

R. W. Robinson

Topic K

About 2'11ecture hours

One 2·hour paper

Permutations and combinations, iuclusion··exclusion and generating fUllctions. P61ya's theorem and its application to coullting various kinds of structures and graphs will be discussed. Also asymptotic analysis of many of lh.; exact results,

Text

References

Beckenhaek, E. F. (ed.)

Hall, M. Harary, 1-'<'. &

Palmer, E. M. Lin, C. L.

Riordan, J.

Nil

A pplicd Combinatorial Mathcmatics (Wiley 1964)

Combinatorial Theory (Blaisdell 1967) G raplzica/ Enllmeration (Academic 1974)

Introductioll to Combinatorial IVlathematics (McGraw·Tlil1 1968)

Combinatorial Analysis (Wiley 1958)

664134 lRecul'sl~(j1A Them'Y C~~ R. W, Robinsoll

Topic 0

Hours About 27 lecture hours

Examination One 2-hour paper

Content

Recursive functions and Turinr: reducibility are various more specinl reducibilities. The structure unsolvability IS invesligated llsing priority method

along \vith of the of constructions.

Text

References

Kleene, S. C.

Rogers, H.

Sacks, Cr, :E. ShoenfIeltL J, R.

Nil

Introductioll to lVietam({thematics (Van Nostrand 1952)

Theory of Recllrsive Functions and Effective Computahility (McGraw+lill 1967)

Degrees of Ullsolvnbility (Princeton 1963) Degrees of Ui/solvability (North·I-Iol1und 1971)

664146 natiollal Nmnhcl.' '!'heory ,~T. K. Sheng

Prereqllisite Topic CO

Hours About 27 lecture hours

Examination One 2·ho11r paper

COlltent

Properties and dislrilmtiolls of rational lltlmbcrs. rationals. Rational polygons. Linear operators over ralionals. sive and explosive mappings, convexity index. ~Lines by lattice points in Rn.

Text Nil

Prerequisite Topic C or CO

HOlll's About 1'/ kC:(llrc hours

.Examil1afioll One: 2~hour paper

Contcnt This topic will introduce basic concepts of the 10e;;1 theory of: eli ffercn(iable Inanifolc1s.

• Vector fields, differential form;;, anc! their Frobcniuc,' theorem. Fundamental properties of Lie gronps nnd Lie General linear group. Principal and associated jHJJ'e bundles. Conne(> lions. Bundle of linear frames, affine connections. Cl1r\'aturc and torsion. ~Metrje, geodesics. Riemannian manifolds.

69

Text

References

Auslander, L Chevalley, C.

Kobayashi, S. & Nomizu, K.

Nil

Differential Cieol1letry (HarpCl' & Row 196'1)

Theory of Lie Group,l, Vol. 1 (Princeton 0.1'. J946)

Foundations of Differential Geometry, Vol. 1 (Interscience 1963)

664H,0 lUe AlgellR'lIS~P K. Smrz

Prerequisite Topic; D

I [ollrs About ?7 lecture hour~

Lxamillatioll One 2-hollr paper

Confent

This topic will give a moderately detailed survey of the proper! ies of this important class of I1OlH1Ssociativc algebrase Definition and constrlletion of Lic algebras, examples, COllneclion with other branches of mathematic;s. Representations and modules. Derivations. Ideals, solvability, nilpotency. Lic's theorems for solvable and nilpotent Lie algebras. Structure of semi-simple Lie algebras and their representations. Poincaree·BirkhofT~Wi!t theorem. Classification of the compact simple Lie algebras.

Text

References

Chevalley, C.

Jacobson, N. Pontryagio, L. S.

Prerequisites

Hours

Fxwnilwtiol1

Content

Nil

Theory of !,;e Grollps, Vol. 1 (Princeton UJ'e 1946)

Lip A Igehra.l' (lntersciccnce 19(6)

Topological Grolips (Gordon & Breach 19(6)

Topics ]) and I(

About ~7 lecture hours

01\e ?·hOll r paper

Introduction to codes; .Hamming distance; linear the Slcpian e•

Moore"Prange algorithm; Harnming codes; perfect codes; polynomial c;odes; Hell codes.

Text A.. P. &

Wallis, W. D. Comhinatorial Theory: A II Introduction

(CBRe 197'1)

'!()

Ref ('I"e/1(:es

Anderson. !.

Bcrkk::m:1p, E. R.

van Lint, 1. H.

Prerequisites

1/0U1'S

EX{l111l/1{/tioll

Content

A First Cour,\e ill Combinatorial Mathematics (Oxford 1974)

A Igebraic Coding Theory (MeGraweHill 1968)

Coding Thcory (SpringereVerlag 1971)

Topic;s D and K

About 27 lecture hours

One 2-hour popel'

An introduction to vilrious types of designs and their properties. Paire•

wis(~ balanced desi!jlls: the basic theory, some existence theorems, Wilson's theorems. Latin squares and baJanced incomplete block designs; the existence theory using pairwise balanced d~esigns, and various constructions. Partial balance. Room squares. Hadamard matrices. Block de~;jgns on graphs, such as handcuffed dcsigns.

Text Street, 1\. P. &

WaJjis, W. D.

References

Denes, J. & Kec(hn~)J, A. D.

Hall, lVr. Jr. Mann, H. B.

Combinotoria! Theory: All Introduction (CBRC: 1977)

Lalill S'qllare,I' and t/zeir ,Applications (English fJ.P. ~\T1d Akademiai I(iad6 1974)

Combinatorial Theory (Blaisdell 1967) A rldilion Theorems. The AdditiO/l Theorems of

Gl'OllP Theory alld NUlI1ber Theory (lnterscience 1 %5)

RaghflVi11 an, I) ('ol1stl'1lctio!1s and C'ombinalorial Problems ill Design of Experiments (Wiley 1971)

Ryser, II. J. Combinatorial Mathematics (Wiley 1963) Vajda, S. ['({Items and COl1figllmlions ill Fillite Spaces

(GriiTIn 1967) Vajda. S. The tvfathenwtics of Experimental Desigl1~

lllcompl!'te Block Dcsigns and Latin Squares (Griffin 1967)

Wallis, We D. et al Combinatorics: Room Squares, Sum .. Free Sets,

Wallis, W. D. liadamard Matrices 1972)

COJllbillaiorial 1977)

SUPPI,EMENTARY LIST

(Courses available for choice as Part IV topics by students wh~ have passed Mathematics IlIA and Computer Science III. Not all of these courses are necessarily offered in anyone year.)

Ueplll'iment of (~ommer{:e

Social ImplicaJi1iolls of Computers

If)Cll31'tmCI1l: of ·Elcddclil. 1[~llgiI1CCdll!"

EE443 Optimiz31tlion Techniques EE447 Digital CommunioalLions . EE566 Automata, alld Computing Machinery1 EE567 Compute11 ProceE's CO]JItroll EE568 Advanced Computer An~h:L(ecturel

UCI)!U'hmmi oj' Mecballical Engim!cril1g

·see pag() 13:1

. see page 105 ---s'es page 136

ME404 Mathema.tical Pmgmmmjn'g .. seo pago l J 8 ME487 Opemtim13 Reseal'oh~ .... D0termill~sti(~ Models, . -5c0 pag0 117 ME488 Operaltionls ResC!an:h~:ProhabJ:ist,ic Modelss'ee pago 118

Additionally, students permitted to select courses from this list S~10111cl also select any of the following topics which they have not studied in Computer Science III:

Compiler C01mt:rm:tioll Compute}' Operating Systems Programl11'ing Language~ anD Advauc{:cl Applications

in Computing 1 For details consult the Faculty of Engineering Handbook.

Prerequisite

flours

Examination

Mathematics I

168 hours of lectures, (l1toriais <lnrl practical work as listed below

See component descriptions below

Content Topics

Sr.~ .. Introcluction to Structuring of Information SP-~Systelnatie Programrnillg ML-~ Introduction to Logic and Assembly Languages

F .. -Numerical Analysis and Computing

72

PART U 'HWl!CS

662401 Topic §][·~··llltrmluctiol!l to §u:llctn:dllg of Informlitioill' .~A. J. Guttmann & P. J. Moylan

Prerequisite

Corequisite

liours

Examination

Content

Mathematics J

Topic S1'

1 lecture hour per week and 1 tutorial hour per fortnight

One 2,ohour paper

Influence of structuring of information on design of programming languages. Data structures: lists, trees, queues, deques ancI stacks. Examples of and methods for implementing these structures. Storage allocation for complex data items. Scatter storage and hash addressing. Elemen" tary string processing, and list processing. Searching and sorting. A description of several sorting algorithms and comparison of their efficiencies.

[ext

Page, E. S. & Wilson, L. 13.

References

Dahl, D. J. eL a1. Elson, M.

Horowitz, F & Salmi, S.

Katzan, H. Jr

Knuth, D. E.

Wirth, N.

information Reprcsf'Il/(l{ioll (lnd j\1anipuZation in a Computer (Cambridge !J.P. 1973)

Structured Progmnlilling (Academic 1972) Data Structurcs (Science Research Associates

1975) Fundamentals of Data Structllres (Pitman

1976, 1977) Introduction to Computer Science (Petrocelli ..

Charter 1975) The A rt of Computer Programming Vols.

I ~.- Fundamental Algorithms, 11 ~~ Serni .. numerical Algorithms,

III ._> Sorting and Searching (Addison~Wcs]ey 1968, 1969, 1973)

Algorithms + Data Structures = Programs (Prentice-·Hall 197G)

66Z<tOZ Topic §lP',·Systemalk l'mgmmming -A, J. Gnvtman!n & p, J. Moylan

l'rel'equisite

Houts

lVlathcmatics I

1 lecture hour and 1 tutorial or practical work hour per week

Examinatioll Olle 2 .. hour paper

Content

The case for high level programming languages. The formal definition of the syntax of high level langu8ges.

An overview and comparison of several high Jevel languages, includ­ing FORTH.AN, ALGOL 60, PUI and COBOL. Comparison of compiler languages and interpretive langmli;cs. 1\. brief inlfoJuctio]l to list processing languages and l1lacrogcJ1eratofs. Structured programming: its objectives and j he tcchniq LIes used to achieve them.rvlodular design, top-down progran,ming, good coding style. The role of 'r,oto' constructs, COilditiollal statements, looping, 'case' statements. The virtues and faults of ex isting pi"ogr;.tInrning languages.

Procedures, co··routines, rc·entrancy. Recursive jJwgramtlling. Approp­riate and inappropriate llses of reeursioil.

Text

Elson, M.

References

Bales, F. & Douglas, M. L.

Dahl, O . .1. et al.

Guitwann, 1\ . .J.

International Computers J .td

International Computers Ltd

1(aiza11, H. Ir

Kernighan, B. W. & l'laugcr, P. J.

I(reitzberg, C. B. & Shllciderman, 13.

Wirth, N. Yourdon, E . .1.

CUNcepts oj Programming Languages (Science Research Associates [973)

Programming Langz{(Igei One 3rd edll (Prentice»Hull 1975)

Structured Programming (Academic 1

ProH/'{{lIIllling {{iii! A Igorithlils (1 j einelllanu 19T!)

ALGOL Programming !vIal/Hal

! 900 series COBOL Manuul

Introduction to Complltel' Science (Petrocelli .. Charter /9'15)

Software Tools (AddisuJ!<·Weslcy 197(i)

The Flemellts of FORFRAN Style (Harcourt, Brace, Jovallovich 19n)

Systematic Programming (Prentice-TJaIl 1973) Techniques of Program Structure and Design

(Prentice·Hall 1975)

K. Ml, ..• ~ Wn!nJlluelioli to I,ol!,ie &; A&;'J!!lnbly J[.fm8f!flge:; , Salnja

Prerequisite Mathem::ttics r Hours 11 Jeetllfe aud practical work hours per week

Fxamillatioll assessrnenl anel final cxmnil1nlioJl

74

Content

Number systems: represcntation and arithmetic. Boolean. algebr.a: combinational logic, l< amal1gh maps, Hip flops, sequential logIC, counters. Hardware components, processor structure, addrcs~ing modes. Assembly language. Instruction sets, pseudo ops, machllle. language programming, subroutines, co~routines, use of stacks, mlelTUpts, macros, recursion, 1'e .. entry, linkers and loaders. Lectures will be supplemented with practical assignments using PDP-II computer.

Text

EckllOllse, R. H. J1'

References

ehu, Y. H.

Donovan, J. J. Friedman, A. D.

~hOIle, H. S.

Prereqllisites

flou!'s

Examination

Content A selection, limited by the following topics:

'topics

lvlinicomputer Systems Organisation and Programming (l'DP~l J) (Prentice··llall 1975)

COIl/puter Organization and II/ticro 1'rogralll·· ming (Prentiee-Hall 1972)

Systems Programming (MeGraw··Hill 1972)

Logical Design of Digital Systems (Computer Science)

Introduction to Computer Organizatio/l and Data S'twetl/res (McGravv-H ill 1972)

Computer Science !I, Iv] athematies HA and rvlathematies He

Not IcS'; than 110 hours of lectures plus allY other required [utOJ ia!s and practical work, from the list of topics helcm', provided that at least two of the three topics numbered 1, 3 and '1 are included. (It is recommended that 8 student should include all three of these topics in his programme)

See infolll1alio[l illlliv.idual topics

given ill de.seri plillns of

the considerations uncleI' n ours from

1. Compiler Construction (,,'EE464) ? Cmmncrci:tl Programming (~!~eS ~ I)iplorna Clmf5e)

75

J. Computer Operating Systems C"EE4G3) 4. Switching Theory & Logical Design e:'EE362) 5. Mathematical LDgic (''''0) 6. I\1athcmaiical PrincipJes of Numerical Analysis e~:;:*Z) 7. l}rogiamnling Languages & Advanced Applications in

(u111putil1g (* PL) 8. Theory of COlnputing (:}o:c-:~TC)

'j'9. SYStc111S Analysis & Design (f.{CS --- Diplonl8. course; (one topic composed of the cOlnbilwtiol1 of (1) SystcIllS Analysis and (ii) Systenls Design on that course)

Nc:ics ~:: No!

om they ore

:{::t Nol clVoilablc the topic or with CompUter Mol hornatics topic

avoilobJe for a Pari III

following

incluciil)n concurrently

the Pori III

ore considering eventual Public Servi ce ore strong Iy

CO!llPU[Cr' Systems OffiCers in the to enlol for thiS lopic.

Prerequisite EE264 Introduction to & Assemhly Languagcs

Hours :-\ hours pel week for lhe 1 st half YC:lr

Examination assessment and final examination

Content The of assemblers. Introdw.:!ion to lllG or grarnnlar;::'J

code generation. parsing techniques, construction of compilers, Constrnetion of

Text

D.

References

P>-. v. & Ullman, J. n.

Donovan, J. J.

Prerequisite

Hours

Examination

Compiler COllstmction jor Digital Computers (Wiley)

The Theory of Parsing, Translation alid Compilillg 2nd Vol. (Prentice-Hajj)

Programming

I. R. Beaman

j\1ntbernaiics I Sf: or COIl1rnerciaJ E.D.1'.

2 lecture hours per week fur .I s( half year

l\vo 3~hour papers (i) Theory--at mid year (ii) COBOL at eIld of year

76

Content

Basic concepts of file handling and file maintenance, including file creation and processing. Flow charting; file merging and updating of transactions; tape block­ing and buffering. General run types including editing, searching and sorting. Direct access versus serial; random or sequential organisation; re-run tech·· niques; verifying programme accuracy; table lookup; programme documentation and use of test data. COBOL as a business data processing and file Of Banis at ion language. Extensive practical work in COBOL, including case studies.

Texts I.C.L. Feingold, C.

References

Chai, W. A. fix. H.W.

Clifton, H. JJ.

Davis, G. B, & Litecky, C. R.

DeRossi, C. J.

Kapur, G. K. Laden, H. N. &

Gildersleeve, T. R. McCracken, D. D.

ct a1. Murach, 1\'1. Sanders, D. H. Sprowls, R. C. Stern, N. B. &R. A. Watters, .T. 1"

Frerequisite

Hours

Examination

Content

1900 Series COBOL Manual Fundamentals of COBOL Programming

(W. C. Brown)

Programming Standard COBOL (Academic)

Systems Analysis for Business Data Processing (Business Books)

L.'lcmentary Cobol Programming (lVrcGraw~ Hill)

Learning COBOl, Fast (Reston) Programming ill Standard COBOL (S.R.A.) S'ystems Design jor Compllter Applicatiolls

(Wiley) Programming J3l1siness Computers (V/iley)

Standard COBOI~ (S.RA.) Computers ill iJllsitzess (McGraw~Hiil) Computing with COBOL (Harper &. Row)

Cobol Programnling (Wiley) Cobol Programming (Heincmullu)

A. Can1'O!li

EE264 Introduct ion to Logic &. Assembly Languages

fhree hours per week fur the 2nd half oj the year.

assessment and finn] examination

View~ of an operating system. NluIt.iprogra1l1millg, interaeiing COil.,

current processes, process control primitives. Processor mallagement, memory management, name management. Protection.

Text Shaw, A. C.

References

Coffman, E. G. & Denning, P. J.

Hansen, P. n. Madnick, S. E. &

Donovan, J. J.

Fhe Logiccd Design of Operating Systems ( Prcntice··I-Iall)

Operating Systems Theory (Prcnlice··Hall)

Operatillg Systems Principles (Prentice-Hall)

Operating (lVlcGraw·HilJ)

533902 SwHcbing 'fbem',Y & lLogiclll Design .. ,., K. K. Saluja

j'l'.ereqllisite Mathematics I

Iloms

Content

:, hours of lectures, wtorials and practical work per week for J st half yem

Progressive assessment and finnl examination

J ntroduction to Set T11eory. Boolean Algebra, Data representation codes, error detection and correction. Minimization tcchniqlle for combinational logic, Post's Theorem. Synchrollow; and sequential maehine.c;. State reduction and secondary slate . Logic subsystems, adders, counters, dc. IL~Progranlll1lng (minimization and coding techniques). Lecturers will he sLlpplcrllC'nted by practical Trainers and P rn>··ll .

Text Fricdman, A. n. R.eferences Kohavi, Z.

Mano, 1\11. ]VI.

Mano, M. til.

Prather, R. E.

Prerequisitcs

Holll's

Logical Design of Digitu/ Science 1(75)

SH'itching {lnd Finile A lltOIllUti/ Theory (McGrawoHill J (70)

COl1lputer Logic Design (Prentiee·Hall 1972)

CO/llputer System Al'chiteclllrc (Pn:nticc-}Vdl)

flltroduction to Switchillg Theory: A l'viatlie-maticol Approach (Allyn & lLtron)

R. W. RobillYOll

K&L lecture hOll) per week and I illtllrial hOll!'

pcr forlnight

78

Examillation One 2-hou1' paper

Content

Introduction: inference rllles as it formalisation of deductive proccsses; sets; axiomatic theories; predicates. The sentential calculus, predicate calculus and predicate calculUS with equality. First order theories; consistency, independence and eompletcness. Examples will be taken from the usuill axiomatically defined TvIathenwtical systems, ami Godel's unc1ecid,lbility theorem will be discussed.

Text Mendelson, E.

l?ejerences Crossley, J. el al. Enderton, H. B.

Hayden, G. E. & Kennison, J. F.

Kleene, S. C.

Prerequisites

Hours

l~'xamin(ltion

Content

Tn/mdlletion to i\1athel11({/ica! 1.opic (Van Nostrand 1(4)

What is Mallzenll!tico[ 1.ogic? (Oxford J nn A /vlathenwtical in/rorillctiol1 to Louie

(Academic 1972) 'J

7.crme/o··Fl'Ilenkel Set 'theory (Merdll ] %8)

M otlzel}wtic({l Logic (Wiley 1967)

Topics CO & D

I lecture hour [lcr week :\l1!1 I lut,)ri:ti hClIJI' per fortnight

Solution of linear systems of algebraic: equatiolls hy direct and linear iterative methods; particular attention will be l,iven to [he influence of various types of errors on the numerical 'result, to (he gcneral theory of convergence of the Jatter class of methods and to tbe con·· ccpt. of "eondition" of a system. Solution hy both one step and multi .. step methods of initial value problems involvin!'. ordinary dillercnlial equations. Iuvcstigatiofl of stability of linear marehing scheme:;. Boundary value problems. Finite-difference and finite-clement rnethcds of solution of partial diflercntial equations. Some analysis back:;rollnd and some experience in programming computers is assumed but no prerequisites of nmncrkal analysis courses wiJ! be

'text

References Cohen, A. M. el HI. Daniel, J. W. &

MOOl'C",H. F.

l'.Jij

i'vllmeric(!l A lIalysis (l\.fcGraw·.JTiH 1973)

CO/JlJllltMiofl (Inri Theory iii Ordinary ))ificrellfiul !.'qlla/iolls U·nccrn:m I (nO)

79

Hours

Examination

Content

?" kctme hours per week for the 1 st half year and associated practical work

/\ 11 c.'(:11llination at

This course seeks to fill a \yide range of on the experience of the student. Systems Analysis coven; the activitics which occur early in the life of n busincs:i system. Individual topics include systems concepts, the ~,ysterns analyst, the techniques of systems analysis, project con(rol metho(ls, report stan­dards and structures.

Texts

Gore,M. i&. Stubbc, J.

R. ejel'ence,\'

Chandol', A. c( al.

Clifton, H. D,

Daniels, A. &. Ycatcs, n.

Glans, T. B. ct ill.

Harc, Van COl1rl

Kindred, A. R.

Optner, ;;. L.

Orilia, L cl ~J!.

Scmprevivo, P. C.

Weiss, E. A

Oi) 1':;y§tcms JlJ,!~igll

l'rereqll;sites

Hours

Examination

The National Computing Analysis i1l1dDcsign Student supplied

t;!'\lre

1'1 ote~i '.vill be

L'fell1!'II/.I' of Systel/ls Analysis (\V. C. BroWll)

Practical S':vstems /inalY,lis (Rupert, Bal'l &. Davis)

Sys/ems Analysis for Business Data Processing (Wiley)

/Josie Training ill Systelll,<' Allolysis (Pitman)

,\1wmgelllcnt SY,liCl}/,\' (Holt. Rinehart &. Winston)

Sy.llC/JI,\· A nalysis: A Diagnostic A fiproach (Harcourt, Brace & \VorlrJ)

nata S.vsteJl1s alld JI,1(!l1agelliclI/ (Prcnlice-Hall)

Systems A 11({lysis for li II ,I inn , ;\ftlilll,0,el11ellt (Prell tiec~Hall)

!iUSillt',IS Data Processing Systell1s (IViley)

,";yslc1I1s A l1alysis: De/tnt/il'c Process ({lid Design (S.R.A.)

COlli pili er lJ.\IIgc/ A p/,/iClllioIlS (J\JcCiraw< Hill)

CS ",Commercial Progrmllmlnr, Analysis

" lecture hour, ill'r week ('Of the 2nd 11;111' yGlf

and associated practical work

An examination at cnd of yo::ar

82

Call tent

T'his subject is a. deVelopment of /\l1atysi~;, with the inclusion of the following topics: input design, output file design, detailed systems design, ~ys(ems implementation.

;'n appreciation of the detailed techniques of Syste1l1s Design involved 111 the developmcnt of computer-based information systems from a range of applications, ,,-i .e. lnvent ory and Production control; Gnkr entry and processing; general ledger aeeounting systems; sales allalysis; payroll.

At least one such system will be observed in depth, as an attempt at detailed systems design.

Text

Rcfercnces

])retcqllisites

HOlll',\'

Ex {{/ II i 1111 t io n

Con/ent

} As for Analy:ois

lVlathematics IIA and He (including 11, I and CO)

4 lecture hours anel 2 tutorial homs per week

r::ach topic is examined separately

A subjecl compn:;l11g four topics: Topics R, U, Y and one other Part HI lVlathematics topic. Before selecting a particul<lr topic as the optional fourth topic in Statistics HI, students should scck advice from a lecturer giving one of the compulsory topics, or from the Heml of the Department.

SCHRDUU: B

541100 ]~ngimwl'lllg X

PrCfequisites ~·unit Mathematic:; S:, tnultistrancl Sciellce at the If-ullit level (advisory)

COl'cquisite

Hours

Lraminatioll

Content

Mathematics I

4 lecture hours & per week

1'0 be advised

Four of (he following units to be chosen. (i) Cli;Ul §talic!)

83

llltorinl laboratory hour,)

(ii) IVlfm:H (iii) MEllI (iv) GE112 (v) J<:l!':J3l

(vi) ChEI01

DYl1amict; Graphics amI Engineermg llirawing Introduction to Engineering Design Circuit lFllmImnclltlills Iw}ustl'ial Proc()§s PrindIllcs

(i) 52HOl CEllI Statics ~~ B. Karihaloo

Flours I lecture hOllr & 1 i lltorial hour per week

Examination One 3~hour pBper

Contellt Two-dimensionBl fon:e systems; equilibriulll, funicular polygon, rigid bars, shear force, axial force, bending moment; pin·jointed frames, analytical and graphical treatment; equilibrium of tlm?e .. dimensional force systems, cables.

Text

Hall, A. S. & Archer, F.

References

Beer, F. P. & Johnston, E. R.

Mcriam, J. L.

Principles of S'tatics (Uni. of N.S.W. Students Union 1966)

Mcchanics for J:;ngilleers: Statics 2nd edn (McGraw-Hill 1962)

Sfatics (Wiley 1966)

W) S4110;i MI~131 UyulImic§ .. M. 1. Hallin811

Hours 1;l hours per week

Examination Progressive assessment & cxamin21ion

Content Basic: concepts required for study of motion: length, lime, fnrcc and mass; Newton's laws of motion; systems of units; friction. ]lllotion of point !]1,lSSCS, rigid bodies and cOllnected bodies in or curved paths, Of in simple rotation. RelMive motion using translating refr:r~ eDce frames. General plane motion of rigid bodies. Momentum and impulse, both linear and angular, related (0 poillt masses and rigid bodies. Energy and the conservation principle applied to mechanical work, strain energy, kinetic energy and friction "10,,;cs", for parlieles and rigid bodies.

Text

Meriam, J. L.

l? ejerence

Beer, F. P. & Johnston, E. R.

DYI1i!lIIics :.~nd cdll :;.1, version 19(6)

Nfechwzic.l' jor Engineers: J\1cchaflics ?nd cdn (McGraw·Hill 1967.)

84

(ill) 541104 MKUl G1l'21111ics ami I~ngilleel.'h!£4 Drawillg

Prerequisites Nil

HOlirs (f2

Examination Progressive Assessment

Content

A study in communication and analysis by pictorial means. Methods of projection covering orthagonal projection of points, lines, planes and solids; lengths of lines, angles and I11tersection between lines, planes and contoured surfaces; orthographic projection, dimensioning and sectioning; isometric projection; prospective projection. ..

Text

References

Levens, A. S,

Luzaddcr, W. J.

To be advised

Graphics (Wiley)

Basic Graphics (Prenticc-Ilall)

(iv) 50HOI (;1<:112 Inlnldudion to l~ngillCel'lng Ue§ign

Prerequisites Nil

Hours

Examination Progressive Assessment

Content

Philosophy and fundamentals of ellgineering desigll.

Text

Referellces

Levens, A. S.

Luzadder, W. J. Svcnsson, N. 1..

Harrisbcrger, J ..

Prerequisites

flours

l:'xaminatioll

A IIstraliall Standard Engineering Drawing Practice en 19'/6 (InstiL of Engineers,

Aust. )

Graphics (Wiley)

Basic Graphics (Prentiee .. llall) lntroduction to Engineering De.ligll (Ulliv. of

New South Wales Prcss 1974) I:'lIgillcennans/Zip- ,A Philosophy of Design

(Brooks-Cole )

Nil

H hours of lcclures, tlltorials Hnd laboratory work per weGk

Progressive asse,sment and final examination

85

Content Units, resistance, circuit laws, resistive circuits. inductance, capaci­tance, first order circuits, A.C. supply, R.M.S. and mean quantities. Resistance, capacitance and inductance in A.C. circuits, l'hasors and their llse in _A.C. circuit analy,;is. Power ill A.C. circuit;, lrcqucl1cy response 0 r simple circuits.

Text

Baldwiu, C. T.

References

Balabania!!, N.

l-Jayt, W. I-I. {~

.Kemrnerly, J. E.

l.ifectrictli lvi eosuremellts 2ud edn (llanap)

Text OJ) electrical circLlils to be advised

l'llIu/al1lentols of' CirclIit '(hemy (Allyn & Bacon)

Fu[;il/cering Cill!!it A

(vi) 5111(11 (:hl':WI. ~mhi!il-"lnl. ]['K';l!:ess l'linl'iy)lml

Hours I t hours pCI' week

Fx([ntill{fiiOtl

Content The preparation of process flO\\sheels, Engineering calculations illus­trating material and encrl',y balances, together with pressure, tcrnpera·· Lure and volume conditions involved in physical or chemical changes. Balancillg chemical equations ane! elementary :"toiehiometry. Phasc fUlc applications, graphical methods. These principles will be illustrated from such processes as ,valeI' treatment, rnctallurgical ore smciting and sleel production, ccment manufacture, combustion of coal :llld oil, pro·, cluction of tonnagc oxygen, armnOJli:l and acids.

Texts Mayhew, '!. .1<. &

J.{ogcrs, U. J'

Wail, T. F.

RC/i'l'ences

Himmelblau, .I.

Hougcn, O. A. et al.

Perry, ]. H.

Thcl'llwilYII[{lJIic alld 'IroJlsport Pf'{}perties of Fluids (S.1. units) 'Jnt! "dn (lllaekwaH 1972)

AI/ OlltlillC of indllstrial Process l'rillciple.I' (Dept of Chemical L:ngineering, Univ. of Newcastle)

fjasic Prillciples ({nd CafclIla/ions ill ehemicill Ellgil1eering (Van Noslralld 1 ,)D)

Chemiclll Process Principles P::ll'f I 7.nn olIn (Wiley 19)'4)

Chell/ical Z-;;ngincer's Ihmdbook 5th edu (McGraw· Hill 197:\)

llUOO Matcrials Science I

Prerequisites

CoreL/ltisitcs

11 o ill'S

1':. W III i,l ({ t i 0 t I

Contellt

One Scicncc 2-unit subject

IVlathematics J &. Physics J A

:\ lecture hOIIl'S &. :\ tutorial! laboratory bOHrs per week

I·'our 11-hollc papers plus

(i) Mecill:lIlical Pl'opel'lies of Mllterials (ii) MicK'osKmcture of Matedals

(iii) Atomic §tl'lIdm'll of Materialli (iv) Pitlzer Chemical lVietallurgy or I{lcctl'Ollne Slmeim'c of lVlatel'hJis

Prereqllisites

IlOlt}'s

Contellt

Nil

About 21 hours of lectures &. 2.1. hours of tUlorial, demOllSILlticn <":. !,nelieH] cla,,;es

I 1. h01l1' paper

Macroplasticity. 'The tensioll test, engineering strcss and strain, tme stress ane! strain, theories of strength, complex stresses, yi,~lding, How and fracture, effect of metallurgical variables. Visco .. clastic behaviour of materials, classical models. Heating a cold worked rccryst<\l .. lizatioll, hot working. Microplasticily. Slip ill single crystals, work hardening, muHipk slip, deformation bands in po]ycrysta]s. Theoretical strcngth anomaly <wei dislocations, edge and screw typcs. their interaction, multiplicatioll and pile ups. h·actme. Types of fractlll'C IInder siatic loading, ductilc, hriUk, Creep dynamic: loading fatiguc. Ductile-Brittle fnmsilion ill mild steel, thc etlects of variables, Mn/ C ratio, Creep Tc\L sbapc of curve, microstructural aspects, creep rupture. F'atigllc T,:st, S·N curve', etreel of variables.

'{ext

Wulff, J. et a l.

References

Dieter, G. Polacowski, N. H. &

Ripling, E.

Wyatt, O. H. &. Lkw·JIIl)~he~, n.

.';true/llre {{lid Proper/ics 0/ iHatcrilils Vol. :l (Wiley)

Mechanical ;\lletallllrgy (McGraw~Hill)

,I,'tl'c!lgth and Structure of Engineering Materials (Prentice-Hall)

Aletrils, Ce)'{llllic.I' ({lid l'ulVlller.l· (CGrn:'ridf~i' ! f.P.)

.87

(ii) 111152 Micmsh:ncture of MateR'ials

Prereqltisites

11 ours

Examination

Content

Nil

AbouL 21 hours of lectures & 21 hours of tuturial, demonstration & practical classes

I} hour paper

The generation of microstructure and its relationship with material properties. States of matter, bonding in solic1~;, crystal structurc, phases, surfaces, grain boundaries and interfaces, atom development. Phase rule and microstructures in binary systems for equilibrium conditions and for Ileal' equilibrium transformation'; including: isomorphous, eutectic, peritectic and cutecioicl types, the lever HlIG. Ivlicrostruclures of ceramics and polymers. Tcchnically important systClllS including iron-carbon, copper-zinc, aluminium-silicon, aluminium-copper. Modi .. fication of euteetics, normalizing and annealing. Non-equilibrium microstructures, quenching. Martensite and bainite, 'ITT diagrams, age hardening tempering.

Text

Wulff, J. et al.

References

Rhines, F. N.

Rollason, E. C. Van Vlack, L. H.

Wyatt, n.H. 8; Dew,·I1ugbes, D.

Prerequisites

How's

J~'xamillati()ll

Content

Stl'llctlll'e and Properties of A1meriuls Vol. I (\Viley)

l'll({se Diagr(//ilS in Me/allurgy (l'vlcGraw" Hill)

Idc/IIllurgy fo)' Engineers (Arnold) Fle!)!!'II!,\' of A1aleria[s Science (Addison··

Wesley) A;[etals, Cemlllic.\' and !'oll·IIl!'I'.\' (CambricJ!;('

U.1'.)

Nil

About 21 hours of lectures & 21 hours of tutorial, demonstration & practical classes

I} hour paper

Introductory crystallography; crystDl systems, lattices and unit cells. MiIlcf indices and stereographie projection. 1'h(' periodic table and atomic bonding. The metallic slruetures, b.c.c., I.e.e., c.p.h. from stacking equal spheres. IVletallic solid solutions, Ht1me~Rothery rnles, short and long range orcler.Defcels.

Ionic :;lrudures, from :itacking coordination polyhedra. Pauling's rules. Covalent structures. Structures with morc

Text

'''Tll1ft', .J. (cd.)

References

Cracknell, A. P. Van Vlaek, L. H.

than one type of bond, silicates and polymers.

S'/I'II(,/III'!' (lnd Propcrfics of A1af!'l'ials Vok 1 & 3 (Wiley)

Crystals and their Simc/ure (Perg:\lnon) Elements of l'viateria!s Science (Aclc1ison­

Wesley)

(iv) 11.1123 Chcml(~111 MetalhlR'gy

PrereqllisitesNil

Hours About 21 hours of lectures & 2l hours of tutorial, demonstration & practical classes

Examinatio/l 11 hour papcr

Content

Introduction to chernical thermodynamics and the rates of homo" geneous and heterogeneous chemical reactions. Extension to electrochemical and photoehcl11ical reactions, thermo­dynamics and kinetics of chemical change iilu;,tra[cd by refercnce to the environmental degradation of materia Is. VI" et and dry corrosion of metals. Chemical attack on refractories, ceramics and cement. Photochemical breakdown c,t polymers, stress corrosion of metals and plastic,;. Internal chemical breakdown of materials.

Texts Ivcs, D. J. (1.

Chilton, J. P. Gllggenheim, E:. 1\.

Reference Guy, A. G.

Prerequisites

Hours

r;,mminaliol1

Principles "f r;Xlraclioll of Alelal.\' (Chen1. Soc.)

Principles of J\"'etallic Corrosiun (ChcnL

Llcl!1cnls of ThenllOd1'lwmics (Ch'~l1L Soc.)

InlrodliClioll to Jl1alerials Sciel1ce

Nil

About 21 hours of lectures & /,1 hours of tutorial, demonstration & practical classes

l:l hour paper

89

COil tr'll t Atomic bonding and electron !l1(JlJility.FJcctron~ in a poteDtiCll box, free electron model of a metal. eHeels of the lattice, alkali, noble and transition metals, insulators and semi conductors. Spccific heat and thermal conductivity of electrons alld lattices. Thermal and Electronic properties of mclals, insu]:ltors and semi conductors. Magnetic properties (l1' meta Is and imuiators. Opl ical propcriies of metals, insulators and scmi conductor:,.

Text Wulff, J. et al.

[? ef t:I'Cllces

I'l'r}'rquisites

Hours

F:nUllination

COllfent

The Structure ami Properties oj Materials Vol. 4 (Wiley)

To be advised

Mathematic, ! 8: Engineering I

5 lecture hours & 2;\ tutorial & laboratory hours per week

(i) CE212 Mech:lIlkll of Salida J or 1\11]':214 McCl!llRi~~s of Solids J(

(ii) CE231 JI:<'luid Mcdllmic§ I OIl' ME251 Fluid Mcchaldcs J (iii) Cl~221 .l>mllcrties of M'atcdals oI' MI':241 l'l'opeliics of Ivhlferllds (iv) C11222 MatCrl11ls 'l'cdmoiogy

Prc}'eqllisile.\·

flOIIl'S

r:.\(//1 I i no liol1

( "mlent

C~EIfl & l\,laih~ I

1 i icctI!re hnUI'5 & :\ (utorial hour per week

ClIlO Jh(jur p,lpcr

Uniaxial loading, slales of 51 res;] <1nd strain, stress and strain relation·­ships; internal forces, internal stresses, defkxiol1 of beams, torsion, buckling.

rext Hall, A S,

Rei erel/ces

/111 11llmdll('lioll to fhe iHccllllllics 0/ Solids S.!. erlll (Wiley 1973)

Crandall, S. 1-1. ct al. All il1troduction to t/ie Meclial1irs of Solids 2nd c(1n (J\IcGraw·-ll ill 19'/:~)

90

Popov, E. P.

Pl'crequistc.l'

liouts

Fxaminatioll

Contel1t

M cchallics of Nfatel'i(lls }nd ('dn (Prentke­Hall 1976)

J"'J<1ths r, MEllI, J'vIE131, CEllI, (jEll

42

as:;CSSl1lcnt &: cX;\1nin<ltioll

Uniaxial loading, state~ of stress and strain, stress and strain relatioll" ships; int.ernal forces, internal slresses, ddlexion of hearns, torsion, budding.

Text

Hall, A. ~).

Rrfel'cncrs

/111 lnimdllcfioll /n the i11r;c/Wllics of So/ids (Wiley J 973)

Crandall, S .. H. cl al. A n Introduction 10 till' Alcchanics of Solids 2nd cdn (McGrawlIill 1972)

lIigdon, A. lOt. aI. Popov, E. P.

Shanley, F. R.

Prerequisites

Hou!'s

T:mmi!1otio/l

Content

Mechanics of Materials (Wiley) lntroduetioll to M cclillllies of Solids

(Prenl ice-IT <111 1968)

Mechanic.\· of Maierinls (Me( ,nl\\'-HiI1 19(17)

!\1aths I and I\lFJ31

1 l<:ctUfC hour &. 1 hour of tUlori<1ls 8: laboratory work per weck

Une 3-·holll' paper

Fluid and dcfinitio!15. !:]l1id .'itatics;. :statics of moving systE'l1lS, forees n!1 ~;llrfaec5, lmoyant force,;, :;,n/Jiiily n1' fJo<1lillf( and ~;lIbmergcd bodies. Fluid Uow c01!ccpls: oj' flow, continuity equations, Euler's equation of motion along a streamlinc. BcrnouJli equation, energy equation. Linear momentulll equation. The rnomen! of lVlornentum equation. Linear and angular momentum appJicatiol1:i. Introduction to dirnensional analvsi,;. Viscous effects :---flnid resistance, iaminar and turbulent flow, flow in nod conduits. Fluid mca:;urc-­lIlent.

Text Streeter, V. L &

Wylie, E. B. Flilid Mechanics 6th cdn (Mc(]rawHill

1975)

lteferelle!'s Dougherty, R. L &

Franzini, J. B. Vennard, J. K. &

St.reet, R. L.

or

Praequisite.l'

Hours

Examination

Content

Flllid l'Vl echanic.\' with Engineering ,1 pplica­firms (MeGraw-Hill)

Llemcnli7ry Fillid Mechanics 5th cdn (Wiley 1975)

Maths I, MEJ31

42

Progressive assessrnenl & examination

Fluid properties Rnd definitions. j'luid statics: :itaiics or moving systems, forces on surfaces, buoyant forces, stability of floating and submerged bodies. Fluid flow concepts:·· Types of flow, continuity equation, Euler's eqnation of motion along a streamline. Bernouilli equation, energy equation. Linear momentum equation. The moment of momentum equation. Linear and anguiar momentum applications. Introduction to dimensional analysis. Viscous effeets:-· .... fluid resistance, laminar and turbulent flow, flow in pipes and conduits. Fluid measurement.

Text

Streeter, V. L. & Wylie, E. B.

References

Dougherty, 1<-' L. & Franzini, J. H.

Streeter, V. L.

I'II/id Mechanics 6th edn 1.5. edn (IV1cGraw" Hill)

I''hdd J\ifec1wnics with EI1Hinecril1,l? ,1pp1icatiol1s ( !'vI cGraw·Hi1l)

Flllid l11ec/wllics 51h edn (J\!cGravv-Hi!l)

(iii) S22:1 06 CI~221 I','olllll'i'iIl5 01' lV(atm'iflls

Prerequisite Engineering I

HOllrs 1 lecture hour & A lab ju[orial houi' per week

Examinatioll One J .,JlOur paper

COil tent Basic structure and properties of metals, ceramics and polymers. Behaviour of materials under static and dynamic loads. Merits and selection of engineering materials. Strength and failure criteria. Elements of plasticity, creep, fracture and fatigue. Viscoelasticity of polymcrs.

Suggested Preiinlil7(/! y Readillg

Gordon, J. 1'. The Nell' Scicnce 0/ Strong !vlrtlcrin!s (Pelican

References

Davis, If. r. ct al.

McClintock, F. A. & Argon, A. S.

Richards, C. W.

Whyatt, O. H. & Dcw-FIllghcs, D.

or

Prerequisites

Hours

E}:amillat iOIl

Content

A920 .. 1968)

The Testing (lnd Inspection oj Engineering Materials 3rd cdn (McGraw-Hill 1964)

Mechanical Behaviour of Iv1atcl'iais (J\ddison­Wesley 1966)

Engineering /via/C'riul SciC'l1ce (Chapman-Hall 1961)

i'v[etals, C:eramics ({lid Polymers (Cambridge U.P. 1974)

Maths 1, MEllI, GEI.!2, CEllI

1'0 be advised

Concepts of nominal stress am! strain·· clastic, plastic: and viscoelastic behaviour. creep, material failure and yield. De,ign fracturc. Dislocations and dislocation

true stress and strain .. Generalised theories of concepts with fatigue .. ·

Plastic flow fl!nction~,

Text

R eje;'eilces ])'18a, F. Marin, .1.

M eClintock & Argoll

Polakowski, N. H. & Ripling, E. M.

Whyalt, O. H. & Dcw.,Hllghes, D.

Nil

Mechanics of M el(lls (Addison"Nesley 1968)

rvlechmzic({/ Behaviour oj Engineering Materials (Prentice·liall 1962)

~/!ecJ)(Illic({1 Bclial'iollr of 1'vfatcria/s (Addison-Wesley 1%6)

Strength oj Stl'llctllral {llld Engineering Materials (Prentiee"Hall 1.9(6)

IHetols, Ceramics alld Polymer,\' (Cambridge {J.P. 19'!4)

(iv) ti22HE; CE222 IVllituial.9 Tedllwlogy

HOlils l} lecture hours & 1.\ laboratory & tutorial homs per week

93

COIl/c,nt

MetllHmgy: basic strllctUr(" of lll\)tals. cei'mlIlits, basic propcrties and uses. Ilitic!fvfoJ.'~~;1 tirnber,

CimCk'e{e """'''1'''''';;.)' of pla;;tic

'l'e,x{s

S;\A

SAA

References l.e(\, F.M. &

C. H.

I10lirs

l~Xlllldll{l t iUII

Content

materials in concrete; concrete mix design; propcrticN concrete; manufacturing and field control.

As for CE:l.21 ot' rVf:lterials plus

Design Col11rol and Characteristics of Concrete (Cement Be Concrete Assn)

Meihods for Sampling (II/if Testing Aggregates

ASl ]/j] (Standard'; Assn Gf

/Jellse Natllral /1,','/,165

jor C()}ICI'('te

Iftc ('/tcmist)'y oj C{'lili lit add COllcl'dc:

(Arnold) Concrete j'('cll1l%gy (//I(l j'wctil:c &

I': obCl'[son) Hosie Guide to COllcrete COIlSll'lletioll

(Cenlenl & Com:lcte

,\ lecillfC honrs, one ,),·hOUi' prncl icaJ scs:jOll & I tutorial hour pc:r week,

'r\\ u :i hOllf papcp; work

L Stath~tics~. Scientific rVlcihod, nmtical Modeh and Iliclividual

., Two other [tA and

" ,),

,[,exts

j'rerl'{/uisites

l J

1\Ltthernaiic~; BJ\ 8.: 1 f(' {~- ('idle! l!A or HI:!

EX(!lllination Two :j,~JlOlir & two 2 .. 1wllf p:lpcrs

Content

Either Accounting IlIA or chosen Part HI topics

Accounting nlB and two U and oJTerecl by [,

lllent of Nfathematics and hy thi' Head ()f the lJeparlDlciiL

either

Accounting HA or liB

Hours kctn re hours pC'f w('ek

lc'xmnil1a!ion

Content

Selccted contemporary problems in the theory and practice of fiuancial accounting, company financial rcpOlling and pUblic; including a study of current approaches [0 the fornllllatioll of govennncntai and insti1tJtiomd nCCOl1utill!'.

Texts Nil

References

Journal articles and extracts frorn rclevanl including [he following:

Amcrican Institute of Ohjectil'("I' oj Fintlucial ,\/IIII'IIII'/liS

Certil1ed Ptlblic Accounts

Hac.J;:cr, t\'1. (eli.)

lVl.

C'/Iambcrs, R. J,

Dean, G, 'vV. & Wells, M, C. (eels)

Ciarner, p, & Fl, (cds)

( 1.

L Hendriksen, F. S,

Jay, W, R. C. 8:. Mathews, H. L.

, tvl. O. ci ;d,

i\1oclcl'II/fceOlfllliiJ[;

19(6)

,Iflies IIlld ihe CCo/lil/alit

( !' fen tiCf>i fall

1%9)

A ccolllltillf! Evalilation oud FCOf]OIllic J(t'lwl'iolll' (l'rcnlice·HrllJ ] 96(,)

Curren! Cos! AIC(}({lIlillg: ltll'lili/l'iilg fhe isSlWI'

j?('{UlillgS in .Accol/l!tiJl/! ]\;filmn 1966)

(} luup-bton

All fllLjlliry into the lVlltllrt' of Accountillg (American }\,SIl I Sl():)

of (Llw Book Co, J (0)

Accounting 'theory (Irwin 1910) ()O\'{'J'JllJ1ellt ./1 CCoutiting in Au \'tralin

(Cheshire 196'/) ('olill}(!II)' Financial S/({/l'Il!cllis' hJI!1i (inti

('ont ell I (Blllic'lwnri

95

Moonitz, M.

Parker, R. H. & Harcourt, G. C.

Sprouse, T. H .. & Moonitz, M ..

Vntter, W. J.

or

Prerequisite

Hours

Examination

Content

Fhe iJwic Postulates of A ceo/lilli/iII,']

(A.I.C.PA) Ucadings ill the COilcepf of Measurcment of

Incollie (Carnbridgc O.P.)

A TClliatl]'!' Set of Broad ACCOlltllin.': Principles for Business (A.l.C.PA)

The Fund Thcory U.P.1951)

Accounting UB

), lecture hours per week

One 3-honr paper

Selected contemporary problems in tho theory and practice ot managorial accounting. Topic,; studied include the introduclioll of uncertainty into rnmwgcrial accounting models such Wi co';[-volmne­profit analysis; the use of simple linear slatistical models in cost estimation; an introduction to the variance investigation (!c;cision: ciissaggregation of net income variances; behavioural 011

managerial accounting.

Texts

Reference.l· /\nton, H. R. &

Firmin, P. A. Benston, G, J.

C:aplan, £1. } J. & Landekieh, S.

Oordon, L. A. ('[ ill.

Hofstede, G. II.

11.

Tcl be advised. A.rliclc'~ arc selected from ;\J,acus, The .AccomJi Review, Journal of ;\('counting Hescarch, Juufnal or etc.

COfl1ell1]Jorary Problems in Cost t'cOifIlting (Houghton Mifllin 1966)

Contemporary Cost Accolilititlg {lnd ContJ'O/ (Dickenson 19'10)

,'lIlli/WI Resollrce ACCOl/lli1tillg: Pust, Present & Fllture (N.A

NOJ'lilIllil'e illude/s in MOi!ogt'l'ial Dedli<)iI' Making (N.A.A.)

The Game of Budget COlltrol Publishers J967)

{i/lpcdililclitS in {lie Usc 0/ Illfol'lJ/miol/. (N

11f!11<lviolfro/ Science: alld l'11([fl({gc

mCllt A [lplicatiol/ Obc COllL i1()ard)

'.H;

'/HZOO Biology nm .'., B. Boettcher/B. A Conroy/R. C. Jones/J. W. Pwtrick

Prereqllisites

Hours

FX{[lllillatiol1

COllient

Mathematics llA & lIe & either Biology 111\ or lIn

(t lecture hOlm; & 8 tutorial & laboratory hOlUS

per week & a field excursion

lFulJt141anlmliais of Ji'olmlattml !l'!ld Gelill®alC1;i Equilibrium, changes due to selection and mutation. Srnall populations. Adaptations. A verar,c effects, breeding values, phenotypic variant::e. Covariance of relatives. Selection and inbreeding. l"kutl'al traits.

Strm:ture and dywHnics of biological communities. 1~:il.'VlnllJmcntl!ll l'i!lysliol«lff'l"

Functional adaptations and development;)!) of organisms to their environments.

Texts

Falconer, D. S.

Krebs, C. J. Milthol'[lc, F. L &

Moorby,1.

Nalbandov, A Y.

J.n.

R eferenas Bannister, P.

Connell, p, 'vV. C.S.LR.O.

Daubclllllire, R. F. Ford, E. B. Kershaw, K. A

Leopold, A, C. & Kriedcman, P. E.

Pianka, E. R. Phillipson, J. Poole, R. W.

Illtradllctioll to Quantilative Genctics (Oliver & Boyd J 97 5)

Fcology (Harper & Row 1973)

All intl'oduction to Crop Physiology (Cambridge UP.)

Reproductive PhY,lio/Ol.,'Y 2nd edn CFreeman) Bioslatislleal A lIaly.lis (Prentice·HaIl)

fn/m!/lloioll In F/i.rsi%gical Plalll

(Blackwell Scientific Publica/ions 1(76) Watcr Poilutioll (Queensland U.P. 1970) The /lu.Hralian Ellvil'ollmel1f (JVfelbournc

UJ'. 1970)

l'/ulli.l' alld El!vi/oIllJl('!!i .:hd ('dn ( 1974)

Fcological Genctic.\' (l\/clhllen 1975)

Qualltitative (lnd Dynamic prall! Ecology 2nd edn (Arnold 19'13)

Plant Growth alld DC1'elO[illient (McGraw~Hill IC)?5)

]:'l'olutionary Ecology (Hllrpc.T & How)

Ecological l:.:nergctics (Arnold)

Introdllction 10 DUal/Ii/alive 1~:colofJY (McGraw-Hi-ll)

97

cascade control with applications to control of temperature, flow pressure and composition.

Text Cougallowr, D. R. &

Koppel, L. B. Prucess Systems Analysis and Control

(McGraw-Hill 1965)

(v) S13107 ICJ.Jl~322 J'lIrlil:llhlt() Systf)mS .-~. J. Roberts

!lours 1 i, hours per week

Exam ination To be advised

Content Definition of sizc 311\1 shape of solid particles, laws of breakage, mmlvtical description of size distriblltions, matdx de~cription of breal(age and classification operations, crushing and grinding equip .. ment, separation of solid;;; partition eurves; pr~ssur~ and. flow. of f!nnmJar material. Drying operations, movement of mOIsture m solIds; drying systems, drying equipment; design methods. Furnace and kiln an'alysis by heat and mass balance on well-stirred and parallel flow reactors. Size and solids separation in gas or liquids; action of gravitational and centrifugal fields, design and performance (~f. separ~ alion and pollution control equipment under these COI1ChtlOI1S .. --­

settling Chat;1bers, gas and liquid cye/ones, centrifuges; flocculation, hindered seWing, sludge thickening; Flow through fixed beds-Fluidis~ ation.PiItratio!1»';;nalytical and design methods. Agitation and mixing­scale~up and shape considerations; Evaporation and crystallisation. Dust and gas removal for environmental control.

Text

Coulson, .l. M. & l~ jehanlson, .I. F.

References

McCabe, H. L. & Smith, S. C.

Perry,.l. H.

Chemi('al [,'ngineering Vol. 11 ?nd C(;11

(Pergamon 19'/0)

Unit Opemtiol1s of Chemical Engil!cering (McGraw,-Hilll967)

Chemical E'ngineers' Handbook 5th edn (JvIcGraw-HilJ 1973)

(vi) 513221 CItE33l }'mcc5s 1~cou()mk5 B. D. Hemy

HOllrs 11 hours a wcek for } year

Fxamil1alioll To bc advised

Contellt

1. 1'l'o<:es.\· Plant Costs ~- fixed, vari8b1e, direct, indirect -- review of cost accounting procedures applied to above. Balanr:c sheet and in .. eome statcments.

100

2. Cost estimation proc('dllres -- cost inrlices - -- SIX tenths rule and economy of scale.

3. Economic productioll charts (break even analysis). Capacity factors, incremental costs.

4. Depreciation- Purpose of depreciation studies in process costs--­types and requirements of depreciation methods ._-- taxation allowances in process plant and equipment - economic life - depletion_ 5. Proj('ct pro/itahifitv --- Concept of equivalence and discounted cash flows --- mcthods for measuring project profitability including rate of return, payout time, interest rate of return (DCF) net present value, annual cost and capitalised cost - continuous discounting.

6. Economic Balances - General considerations for economic balance ---. brief introduction to optimisatioll -- Economic balances applied to selected operations, i.e. mass transfer, cyclic operation, yield and recovery operation.

7. Feasihility studies ~~-- selected examples.

Text

Jelen, F. C.

References

Thuescn, ct al.

Hours

l:'x{1minatioll

Content

Cost and Optimizatio/l Engineering (MeGraw .. Hill 1970)

Engineeril1g /i(,()lIr)J)IY (i'vTcGraw-H ill)

I} hours a weck fori year

To be advised

A study of fundamentals and of computational methods for radiative transfer, particularly for grey lambert surfaccs and non-luminous gases. Methods of representing real gases by grey gas components. Matrix methods of solving for multi-surface systems. Application to dcsign of furnace enclosures. Simplified overall equations for well stirred and plug .. j'Jow furnaces.

Text Hottel, H. C. &

Sarofim, A. C.

Prereqllisite

II OIlI'S

Examination

Radiative Trans/a (McGraw .. Hill 19(8)

Civil Engineering Hi\l, lV! arhcmalics IIA &. lIe

7 lecture holll'.' & ')} tutorial/laboratory hOHfS

per week

FOllr T hom papers

Hll

Content (i) 0:<:324·

(ii) C1K313A (iii) CK332 (Iv) n~351

Corequisite

Hours

Fxaminlltioll

Content

Soil Mecbllllics Structuml Analysis I Fluid Mechanics Il! Civil I':ngillcei'ing SysienLG I

CE332 Fluid Mechanics II

2 lecture hours & I laboratory hour per weck

One 3.,hour papcr:

Index properties, classification of soils; permeability, capillarity, seep., age and flow nets; stresses in soils; settlement and consolidation; compaction, shear strength and failure criteria; stability of retaining walJs.

Text Scott, C, R.

Reference.I' Lambe, T. W, SAA.

\Vu,T. B.

.1/l Introduction to Soil lvlcclwllics (Ind FOllndations 2nd eeln (Applied Science)

Soil Testing lor Engineers ('Wiley 19(1) Methods 0/ Testing Soils jor Engil1C('l'ing

PlIrposes A.S.A. 89 Suil Mechanics (Allyn 8: Bacon 1966)

(ii) 523105 Cl-':313A Structuml Aualysis I

PI'('requisilc.I' CE212, iVlaths ]

floltrs 2, lecture hours & I tUlOria.! hOll r per week

Fx([min III iOIl 0[1(; 3"JlOUJ' p:lpn

Content Analysis component oJ CF~\ 13 Analysis of elastic statically detennirwte and indeterminate systems by classical methods; lirnil analysis.

Texts

References } }JJ'('/'('{Juisite

llo II tS

As for cr:J 13 COlllpom'llt)

(T~31

2 leclun>holll's ,II.:. 1 lntorial & lahoratory hour pel' week

1 ()'~

Examination

Content

Similitude; tlow nets, boundary laycrs; closed conduit flow; pipe 11(+ works; unsteady flow; walcrhamrncr, hydraulic: lllac:!Jinery, open channel hydraulics, backwaler curves,

Preliminary R('(lciing

Rouse, H, & [nce, S.

Texts

Henderson, F. ivl. Streeter, V. 1 .. &

Wylie, E. B.

R('ferences

Davis, C. V. & Sorenson

Morris, H, M,

Rouse, 11. Streeter, V.

Vallentine, .lI. R.

History of Hydmulics (Dover 19(3)

Open C1UlIlllcl Firm (C(lllier~lVlaemjJlan 1966)

Fluid Mcclwilics 6th cdn (Mc(Jmw·}[illI97S)

lialldbook of Applied llydraliliCl' 3rd Cdil

(McGraw·TJiJI)

A fJplied Hydmulics ill FlIginccrillg (Ronald 1%3)

{,'l1gillcering J1ytirlllllics (Wiley 1951) H({ndbook oj Flilid DYllamics (McGraw Hill

1961)

A pplil'r/ Hydl'odYllmllicl (Bl1Hen\'(lIIl,s)

(h) 523Hl7 CJ~351 Civil I~ngineel'llJg Systems I

HOllrs lecture hour & -1 lutori:l1 hOllr per week

Examination

Content

Two l}·llOUf term papers & one ] .. hour final papcr

General introduction to (he systems approach. Tcchniques available as aids to the identification of optimal policies--mathernatical model-­ling, computer simulation, various mathematical programming tech .. niques, heuristics. Choice of techniques, problem formulation. fxamplc applications of the sy,;tcms approach (0 civil ellgincering pruhlems.

Text

de Neufville, R. & Stafford, J. H.

Referenccs

BauI1101, W, J,

SystelilS A /lalysis for Fngincers and i\fallagNs (McG raw.,lJ ill)

/-:collomic TheOl y and () [iNa/ions A i1!1lysis (Prentiee"Hall)

Meredith, D. n. el a!. Design and Pli!l/lling 0/ Engineering Srl/eml' (Prenticc"Hall 1973)

\Vagllcl', H, M. Prilll'iple,\' of Operatioll,l' He.l('an}1 ( I'rcntice .. TI all)

Prerequisites

Hou}'s

examination

Content (i) t13:3213

(Ii) 533'110 (iii) 534132 (i'l') 534136

m~341 Ii~I<:342 EIi:443 EE344

Mathematics !fA & HC (including Topics CO, D)

6 lecture, tutorial & lahoratory hours per week

Progressive assessment & final examination

Automatic COlltrol Uncal' System 'Jrhem'y Optimizatioll Techniques Communications .

(i) 533213

Hours

EE341 Automatic Control G. C. Goodwin

Examination

Content

3 lecture, tutorial & laboratory hours per week forI stk year

Progressive assessment & final examination

IvIathematieal models of systems and components: linear differential equations, block diagrams, Laplace transforms, stflte-spacc formulation. Transient response: characteristic roots, transition matrix, system stability. Forced response: transfer functions, impulse and step res­ponses, inpl1Hmtput stability, steady-state behaviour. Feedback and compensation: cHecls of feedback 011 characteristic roots, root·-loclIs technique, Nyqui~;l stability criteria, series and fecdback compensation.

Text Fortmann, T. F. &:

Diu, [(. ]

References

Chen, C. T.

Desoer, C. i\.

Gupta, S. C. & Hasdorll', L

Melsa, J.L & SchuHz, 1),

Ogata, K.

Raven, F. H.

Illtrodliction to Linear Control System Theory (Dekker 1(76)

Introduction to Linear System Theory (Holt, Rinehart & Winston 1970)

Notes for a Second Course 01/ Linear Systems (Van Nostrand 1970)

Fllndal1len tals of A IItomatic Control ('vViley 1970)

Uncal' Contra! Systems (lVlcGraw·Hill 19(9)

:Hodl'm COj/lml Engineering (Prcnticc"Hall 1%9)

A Iltol7latic Control Engilleering 2m! elln (lVlcOraw"Hill 1%8)

(li) 533110 EE341, UUelll' System 'rll£Ol'Y K. 1,. Hitz

Hours

Content

3 lecture, tutorial &. laboratory hours per week for 2nd ~. year

Progressive assessment & final examination

Multivariablo control system;;. Freqw:ncy domain desigll mcth,)l/s. Controllability. Observability. Canonical decomposition. Minimal realisations. Pole positioning by slate variable feedback. Luenburger observers. The type 1 servol11{"chanisl11 prohlem. Introduction to Kal .. man filtering. Nonlinear control system". Popov criterion and describ­ing functions.

Text Roscnbrock, n.lL

Refercnce

HOllrs

Content

S/a/I', Space Ilnd 1\111liirariablc Theory (Nelson J(70)

A s for EE341 AutolJ1atie (\jjJtrol

3 hours per week for 2.ncl 1 yeilr

lYfathcmatica1 background to optimiz,Hioll. Comparison of optimization methods; engineering applications·---such as to problems of identifi·· cation, control, pattern recognition ann resource aJlocalioll.

Texis

Aoki, M.

Lucllbergcr, D. G.

Reference

Ll1enberger, D. G.

Illtruriuclion to Opti11liwlioll Techlliques (lVfaemillan 197 1 )

Introduction fa Lillear (md NOIz..lincar Programming (Addison-vVcs1cy J973)

Optimisation 1'ia V('e/al' ,'i'pace A1elhoils (Wiley 1%9)

(1'1') S34B6 .1<:1<:344 CommllnicatiolJs G. C. (ioodwin

flOllrs

Examination

Content

3 hours pc]' week for ;)nd } year

Progressive as;;cssment 8::. final cxarninatio!1

Introduction to the common forms of analog modulation, as well as pulse modulation systems including pulse cock modulation. Perform<, ance in the presence of noise is considered.

Text Carlson, A. l:l. Communication ",,'Y.ltems (McGraw"HiIl J 975)

lOS

T? 1'/I'I'I'I1C('

Tauh, .n. 8,; Schilling. D. L.

Prercfl.lIisites

flours

Examination

Contpl1t (i) ~i332 13 li~]L34 j

(ii) 533110 Im342 (iii) 53211'1 I~F,Ui4,

(iy) 53}Z}JI KK':36?:

Prerequisite

HOllrs

1~:'{(I111 i 1111 t ion

COlltent

Principles of COl11munirntiol1 Systems C;\1cGraw~Hill 1971)

[l;ratbclnatics llA & He (including iopic:s (0. D)

6 lecture, tutorial &, practical hOllis per week

Progressive assessment 8.: final examination

Alltoillalic Control- hce page 104 Unear System l'hcm'y 0'" see page ] O:J Introduction to l,ogic & Assembly IJang\lag£5~~~ see CS topic, page 127

Theory &; If.ngk;1l OC5igIJsce CS topic,

Mathematics HA &. IlC & Economics JIA

;\s indicated in the descripli()l1 of the COl1l~

poncnls

Tn be advised

Two of the following 5() as to inc1mlc Ecollomc[ ric~ I or f\lathelllZllical

E,;onomics or bOlh:

0,) .1,23208 ~~:eonornefrA~c'N (ii) (1,;:1,3204 MatlummHc2! i<:{~mH.lmk§

(iii) 423 Hl4 Growth :md lkvciolHI1Cllt

(Iv) tt·Z3H12 lflltcmatimllll Eeonomks (v) 4231(13 I'nblk ]~conomic§

(i) (~Z:~201li ]';\'mml,new,ll;(cl J! .... R, W, McShalH'

l'rcf'C'ql!isitc r.conolllic Statistics II Of ~;tati:;tical

HOllrs 2 lecture hours per week

FX(ll7lil1atioll Onc j·llOllr paper

COl1t('nt !\ knowledge of matrix alr,clna and of the mathematic,li c;tatistic;, dealt with in Statistical Analysis is recommcnded. The course ('xamine~, the llsefulness of single equation regression analysis in applied ccon~ omic research and also provides an introdilc!ion (0 sirnultanco\ls r:stimation procedures.

tOri

Text

Johnston, J.

/{ejel'ellccs

I'ox, K. A. Goldberger, A. Hadley, G. Huang, D. S. Kmenta, .T. Koutsoyi::mnis, A. \Vonnacott, 1{. J. 8:

T. n.

Fcoflol1letric Al pi!lOds (I\kGnm'-ITill (97).)

inlcl'Il1ediatc LCOIlOl71ic Stalistics (\Viley)

Econometrics (Wiley)

Lillear Algebra (Addison~Wed('y)

Regression and [<:col/oille/ric i'vtet/zods ('Wiley)

mcmcnts of Econometrics (Macmillan)

Theory of Econometric.1 (Macmillan)

Fcollol1lc!rics (Wilc:y)

(Ii) 423204 Matilcmlliical EI~Ol1olllics~C. J. Aislabie/K. M. Lamb

[Jours 3 lecture hours per week

EXaminlltio/1 One J··llOn!' paper

Content J. A review of the necessary mathematics at a level accessible to

the interested student. Particular attention will bc naid to explaining the role of mathemajies in economic the(;ry and applied economics.

2 An in"deplh treatment of the key mathematical the mathemaical rcfornmlaion and interpretation

w,cd in traditional

micro and nHtcro~ccoJ101l1ic theory.

3. A number of "case studies" chosen to cover areas ill which (he role of mathclTJatics ill illuminating and integrating material in micro and lllaero~eeonomie theory and applied economics i~i of particular illtere~1.

Trxt

j\rchibald, O. C. & Lipsey, E. n.

1\ pi rl'('/1('('s

Benavic, A.

Chiang, A. C.

Dcrnlmrg, T. 1'.

Gandolfo, G.

;ill Tntror/rWlioll 10 II 1\1(11111'111I11i('(" Trciltmr/1!

of lc'umomics 3 rei cdn (VVf'idf'lI & Nichobnn 1977)

;Halhel1wiical '/'CChlliqll(,s jor !-:CO/TO/1l;C

Analysis (Prcntic,>Hall J 972)

Fundamental Methods of ]l.iat/zematical Ecol1omics 2nd ('dn (McGraw~Hill)

kf(lc/'O('colloll7ie A ;Jalr.lis: A II illll'O(hle1/o/l to C'ol11parrt!i1'e Sialics and U.\'Iwll1ies (Adc1ison-Wcslry 1969)

Mar/zematicail\{cthoris and lvlodcls ill Economic DYl1l11llics (Nor!!r·! rolland 1971)

101

Hadley, Cr. & Kemp, M. C.

Henderson, J. & Quandt, R.

Read, R. C.

Valldennelll(~n, n. C.

Hours

Examination

Content

Fini!(' Mathcmatics ill Business and Lcol1omics (North-Holland 1972)

i'vficroccol1omic Theory ._-_. A A1at/rcl11atical Approach 2nd cdn (McGraw--Hili)

A Mathematical Background for Economists alld Social Scielltists (Prentice··Hall 1972)

Un('((r Economic Theory (Prcnticc .. H all 197 J)

:1 lecture hours per week

Two J .. hour papers (i) cnd (1f 1st (ii) end of year

of year

Tbe first hrllI of ihis course will deal with the dynamics of flllcttwtions nnd growth in the framework of an advanced economy. A critical apprai.sal is undertaken of 1eilding r;ontributions in this fidel. Topics snch as the production function, technical progress and various models of growth are dealt with in detail. The second half of the course will study somc underdeveloped countries with specific focns upon their dualistic nature. The strnc1ure of the rural and urban economies of the typical underdeveloped country will be investig8ted in order to understand underdevelopment and hence design development stratcgics. Theoretical models will be supplemented with case studies from Asia.

Preliminary Reading

Bober, S.

Clark, J. G. & Cohen, M. (eds)

Hicks,.1. R.

l'vlcildc, J. E.

Neher, P. A.

Text

Iclamoerg, D.

References

B811Cl', P. T.

Enko, S.

Gill, R. T.

The Ecollomics of Cycle and Growth (Wiley 1968)

Business Fluctuations, Growth Ilnd r.·col1ol11ic S{a/Jili.mlion: A Reader (Random House

1963) A Contribution to the Theory of the Trade

Cycle (Clarendon 1967) A Neoclassical Theory of Economic G;-owth

(Allen & Unwin 1962) I:col1omic Growth and DeveloplIlellt A

Mathcmatical Introduction (Wiley 1971)

iyfodels of Ecollomic G rOll'th (Harper Inter. 1973)

Disscnt 011 Developmcnt (\Vcidrnfc1d &. Nicolson 1971)

Lcollolllic.I' jo)' Development (Dobson 1963) L'coi1omic Development: Past alld Present 3rt!

Cdll (Prentice-Ball 19'7:1)

l08

Higgins, H.

Kindleberger, C.

Meier, C. M. (cd.)

MyrdaJ, G. Myint,H.

SzclItes, T.

Hou!'s

Exmnina1ioll

Content

Economic Developmcnt rev. edn (Norton 1968)

Fcol/omic Devclopm('1lI 2nd edn (McGraw·· Hill 1965)

Leading iSSlles ill Economic De\'eloplllt'llt 1ud edn (Oxford U.P.)

Asiall Drama (Twentieth Century Fund 1968) 'tI1i' Economics of Del'eloping COllntries 3rd

edn (Jiutchinson)

Tit!' Political Economy of Underdevelopment (Akademiai Kiado 1(73)

2 lecture hours pCI' week & ,(;minar hOllr per fortnight

One 3 .. hour paper

(i) The pure theory of international trade. Comparative costs, the IIeckscher .. Ohlin theorem. Critical assessment of these and other theories of trade. The theory of protection; tariffs and quota restrictions on imports. Australian protection policy. Customs union theory. Relationships between economic growth and trade.

(ii) Intel'llationaJ monetary economies. The foreign exchange rnarket. The balance of payments. The foreign trade lllultiplier. Balance of payments disequilibrium and adjustment policies. EHects of internal expenditure changes. Analysis of exchange rate changes under adjustable peg and floating rate systems; optimum currency areas. Exchange controls. 1nternal and exlernal balance. The international monetary system and its rdorms. Theoretical aspects of international capital movements and the implicatiom of overseas investment in Australia. Details about books will be annoullced ill thl' lind lecture 0[' lh(' COil rse.

Texts Ellsworth, P. T. &

Leith, J. C.

GmbeJ, H. C.

KindIeberger, C. P. & Lindert, P. It

Snape, R. H.

Wells, S . .I.

The IntemCltioll((/ ECOIlOIl1Y 5th edn (lVIae­millan 1975)

International r:;conoli1ic.\· (I rwin 1(77) Illtemotional Econoillics 6th eelll (Irwin 1(78)

International Trade and the A lIstralian Economy 2nd edn (Longman 1973)

International Economic,\' fe\'. ed[\ (Allen & Unwin 197.\)

109

544418 Ivm449 Reliability Analysis fol' Mechallical Sy§tems~~·see page) 120

544105 MlE482 ]':ngineering Economic!> l! 544104 ME483 l'l'oductioll l\<;lIll:ineeriug

Hours .! J hours per week

i';xaminatioll Progressive assessmellt

Content

The integration of man, machines and materials to achieve maximum efficiency of operatioll. The critical questioning attitude. Charting rnethods. \Vork stndy. Ergonomics. Activity sarnpling. Case studies.

Text

Nicbel, B. W.

References

Alford, L. P. & Bangs, J. R. (cds)

Barnes, It. ]\;1.

l{rick, E. V. iVfnynarcL ll. B. (cd.)

Hours

Examinatilill

Content

i'violioll {filii 'till/e Sillily (Irwin)

Productioll nand book (Ron:tld)

A/Ofioll and Time ,)'wdy (Wiley)

;V! ethor\s EJlgineering (Wiley) ! ildllstria/ Engineering lfalldhouk

(lVlcGraw·,HiIl)

l~· hours per weck

Rssessment & examination

Concepts of quality. Sampling plans. Inspectioll by attribute:i, by measurement. Operating characteristic ell ryes, control charts. Deshm of experhncllfs. Analysis of variance. '"

'text

References

Amer. Soc. of Tool & MfgFngs

DunGan, A. 1.

Grant, E. 1« Juran, J. M. &

Gryna, F M. 1< irkpatrick, E. Cl.

Nil

Handbook of Industrial lvfelrology (Prcl1tke­Hall)

QlIn/ity Control and Indllstrial Statiltic.I' (Irwin)

Statistical Qlwlit,v Control (McGrawoHill) Q/lalily Planning (llid A flalysis CMcGraw"Hill)

Qu(/lity Control jor lvlllllagers alld Flle/inei'1'\' (Wiley)

.i I

Maynard, E. (1. (cd.) Industrial I~/1gil1ccril1g Handbook (McGraw­Hill)

(m) 543503 lVn~3114 Desigl1 foa' Production

Hours 11 hours per week

Examination Progressive assessment &: examination

Content The application ot economics, methods engineering, ergonomic:; and mechanical engineering to the development and design of a product. Production distribution and marketing of engineering products. Pro« duction, assembly and inspection methods in relation (0 scale of output. Principles of metro!oi3Y and tool, jig and fixture design.

Text Nil

RpfPrPI1CfS

(JJadmall, C. A. (icolilctri(' /1 no!.""is of Engineeril1g lJcsig/ls (Allot Tradc Publications 1972)

Kempster, M. H. A. Principles of Jig and Tool Design (English U.P.)

i'vlcCormick, 1:. J. /lummi Factors Engill"crillg (i\lcGraw«Hill 19(4)

(iv) 544425 lVU<:419 nllll, Matcrilds ll{fllHlling SY5hmw AmllYR!& l'Iml Design A. W. :Robcl'ts

1Io1lrs 42

Fxamil1({tiol1

CO/1 ten t

Types of cOllveyor" ,mel rnaterials handling cquipmvnt. k;llllrc:\ and performance characteristics. nC~iign of c()mponcl\t~. Flow patterns of bulk solids in slorage bins. 51 rcnglh and flow prop, crties of Imlk solids in relHtion to hopper dC'ii?n. Dc,;ign of hoppers for 'mass' flow and 'funnel' flow conditions. Bin wall pressure distributions. Introduction to pnenmatic and hydraulic SystClllS.

Texts

References

Hronk, N.

Brown, R. I" & Richards, J. C.

Nil

MC('1irll1ics oj nlilk Alaterial.\ nal1dlillg (fllll1<:nvorths 1971)

PrincipII'S of !'ower jll eclwuics (Pprgamol1)

113

Hawk, M. C.

Hudson, E. G.

Jenikc, A. W.

Rudenko, N.

Spivakovsky & Dyackkov

Stocker, H. 1-:.

OJ'

Hours

F,llin/illa/full

Content

Bulk lvlaterials Handling (Univ. of Pittsburgh, School of Engineering Vol. I (3) 1971 & Vol. II (8) 1973)

Storage and FlolV oj Solids (BulL J 23. Utah Engineering E"pcriinent Station 1964)

Conveyors (John Wi.lcy·-··Chapman & Hall)

A1(1tcrio/s Handling Fqlliplllclit (Peace Publishers, [\if oscow)

Conveyors and Related I::qlliplllcilt (Peace Publishers, Moscow).

Mataials Handling (Prentice-Hall)

42.

')'0 be advised

The lime value o[ money, CC<11l0111ic criteria for decision lliaking, purchase and replacement economics, eost benefit analysis, evaluation of accounting data for decision making. Introduction to demand, suppJy, price and the policy of the firm in v,HiollS operating environments. Decision making under risk ami uncertainty.

Texts Fabrycky, W. J. &

'J'llUe~;cn, G, .I.

Smith, G. W.

f< ('jacner'S Braddock, (3. R. 8;

Archbold, D. A. Dc Garl11o, E. P. &

Canada, .I. R.

or

1'.\.'!lIl()lllic necisioll /Il1{llysis (Prentice·Hall 1974) or

Lngillecrillg 1,,'col/oIl1Y: /I lIalysis of Capital Fxpcflr/ilul'C,I' 2.ncl cdlJ (1(\W<I SI;;((' T JY. 1'n3)

'I he Elements of LCOllomic A I/lIlrsis (McGra\\-Hill 1970)

r."llgillr'e/'i/lf] ie'collom.\' 5th e!ln (lVJc M ill;m 1973)

544Hl4 IVlE483 l'I'mim:lion 1<:lJgiUllcrilltJ'- J. W .. Hayes

110111".1' 42

/:'X(/lilil1(lfiOII a:,,,eSSlUCll( and examination

Content Production systems; job shop, lille productioll, group leclmology;

J14

Computer aidcd manufacture, numerically controlled systems; Material handling. Production Planning and contro]; forecasting, inventory, schednling and seqllencing.

Text

Rejerences Johnson, L. A. &

Montgomery, U. (

Baker, IZ.R.

Simon, 'V.

() [!I'mliolls Res('mch ill Production PIIlNning, S'c/ieduling nlld Invent(Jry Control nVilcy 1974)

Introdctiol1 to Schcdulil1R (/Ild ,'J'('qllcncing (Wiley 1974)

TIll' Numerical Conlrol 0/ i\[rwhilli' 'fools (Arnold 1(73)

553900 MlilcbJiltktd )IIiJ~Ii.e@rblg m{~

Prerequisitcs Mathematics UA & HC (including Topics l" &11)

Hours () hnllr~ per weck

Examil1({fin/l T'rogrcssive ,1SSeSSlllCllt

Content Students may choose one of the following alternatives or (d) but all 4· alternativcs may not he availahle each (a) (i) MEJ61 Automatic Control

(ii) ME401 Systems Analysis (iii) MESOS Systems Planning. OrWllli5ation & Control (iv) 1'.1E487 Operations Rcsearch·c·"·-Detcflninistic Model:;

(1)) (iii) M1:505 Systems Planning, Organisation & Control (iv) ME487 Operations Research--Dcterministic Models (v) ME488 Operations Researeh--Probabilistic Models

(e) (iii) MESOS Systems Planning, Organisation & Control (vi) MJ2404 Mathematical Programming (v) "j'vlF 1t88 Operatiollf} RC5Ct.1H'.h·,-,-Probabl1btic J\1odc1s

(<I) (i) ME361 Automatic: C011trol (vii) ME434 Advanced Kinematics & Dynamics of M.acl1iI'c,

(viii) ME448 lntraduction to Photomechanics (ix) ME,149 Hcliabili(y Analysis for Mechanical Systems

G. C. Goodwin

Hours 11 hours per week

(a), (b), (e) vear.

Exall1 inntioll Progressive assessment & examination

COil tell t /\n introduGtOJ.y course in linear control o.vst('m:i,0,latbematical m()dels of systems and components; diffcrential equations and transfer {lUle;.·

lions. Discussion of analog computers and their usc in (he solution of equations and simulations of systems. Simple systems of first and second order. Analysis of steady state performanr:e. System stability

115

and transient response by algebraic, root-locus and frequency. re.sponse methods. Introduction to compensation techniques. DescnptlOn of components of servo-mcchanisms and process control systems.

Text Fortmann, T. E. &

IIitz, l{. l~,

References

Desocr, C. A.

Gupta, S. C. & Hasdorfl', 1"

Melsa, J. L. & Schultz, D. G.

.Raven, F. H.

introduction to Linear COl/trol Systcl11s Thcory (Dekker 1')'/6)

Notes for a Second Course in Lincar Systems (Van Nostrand-Reinhold 1970)

FU/ldamentals of Autolllatic Control (\Viley 1970)

Unear COlltrol Systems (McGraw·Bill 1967)

A 1iIOl7latir: C ol1irol Engineering 2nd edn (McGraw·HiIl 19(8)

(H) 54445'J Ml£401 Systems Analysis

l10urs 11 hours per week

Examination Progressive assessment & examination

Content System concepts and system classification. Tvla~hematic,li modellil!g. Deterministic and probabilistic models, StochastIc models. Detern~lll" istie systems-Linear Graph theory and Network Analysis; Cl~sslcal time and frequency domain analysi& of continuous and dlscre~e svstems; Matrix methods in systems modelling and analysis. StochastIc r;rocesses .... Random data and signal analysis; Response of systems to nmd()jll exeitniion; Syst(?n1 identification.

Text

J( ('fa('ner's

Bcndat, .I.S. tv.. Piersol, A. O.

Busadwr, R. G. & Saaty, T. L.

De Russo, P. M. ct al. MadlOJ, R.

J\1c:Millan, C. &. (Jonza 1c:r:, R. F.

Meredith, D. D. cf al.

Raven, F. :1'-1.

Nil

A1('o.lUrement and Analysis of Random Data (vViley 196B)

Finite Graphs and NellFor/(S (ivlcGraw-HiJJ 1965)

State Variables jar Engineers (Wiley 19(5) Systems Engineering Handbook (McGraw ..

Hill 1965) Svslel!1s Analysis: A. Computer A JlProach 10

. neelS/OIl Models (Irwin.,Dorscy J 968)

Desigll and Planning of Engincerillg Systems (Wiley 1967)

lI.1athematics ofE'lIgilleeril1g Systcms (McGraw-Bill I %())

1IG

(lii) 540126 MES05 Systems Planning, Organization &; Conti'Ol

Hours H hours per week

Examination l'nlgressive ns~essmellt & examination

Contellt Goals and structure of systems. Mathematical modelling amI systern simulation. Hierarchial control systems. System performance criteria, concepts of optimization. Formal ()rg~lllisa[ion and decision theory. Application of systems techniques to organisational analysis and design. Example,; of indus" trial and business systems.

Text

References

AckofI, R. L.

Battersby, A.

Carzo, R. & Yanouzas, J. V.

Citron, S. J.

Kuester, 1. L. & Mize, J. H.

Mach01, .R.

McMillan, C. & GonzaJez, R. F.

Nil

A COllcept of Corporatc Planlling (\Viley 1970)

Network A nalysis for Planning S'chedllliflg (Macmillan 1970)

FOl'mal Orgonisation, A Systems Approach ([rwin .. Dorsey 1965)

Elcments of OplimaZ Control (Holt, Rinehart & Winston J969)

Optimi;:.atiolt Techniques with Fortran (McGraw .. Hill 1973)

S'ystcl1ls F.:ngillc{'j'ing Handbook (l'vlcGraw .. Hill 1965)

Systems Analysis: A CO/llputer Approach to Decision A10dels (Irwin-Dorsey 1968)

Meredith, D. D. el a!. Design alld Plallning 0/ 1~lIgil1c{'f'il1g Systems (Wiley 1967)

Wayne«Weymore, A. A j'vlat!u!matical Theory Fngineer-ing (Wiley 196'1)

(iv) 544841 11.1}':48'1 OpemtiorllJ Hc§earch~~,nelenjjillistk Models -" G. D. Butler

If o III'S I} hours per week

L'xaminatiUli Progressive asses~mellt

Content Concept of optimisation; optimisation !1pproaehes; formulation of models; linear programming; allocation and assignment; simplex method; duality; theory of games, parmnelrie pm!>,larmnirH'; integer programming; zero~one programming; quadratic programming; de .. composition principle. Network theory; dynandc progr:lIIlIlling.

. Geometric programming. Applications.

117

Texts Ackoff, R. L. &

Sasienji, M. W. Hillier, I. S. &

Lieberman, G. J. Taha, H. A.

References

McMillan, C. McMillan, C. &

Gonzalez, P. F. Wa&-nel', H. W.

Fundamen{als of Operations Research (Wiley)

Introduction to Operations Research (Holden-Day)

Operations Research (Macmillan)

Mathematical Programming (Wiley) Systems Analysis-A Computer Approach to

Decision Models (Irwin-Dorsey) Principles of Operations Research (Prentice­

Hall)

(v) 544S'l2 ME4SS Operatiol1s n.e!iearch~";Pl'Obabili§tic Models G. D. Butler

Hours

Examination

Content

1 t hours per week

Progressive assessment

Statistical decision theory; forecasting, methods moving average, exponentially smoothed average. Inventory control theory. Fixed order quantity; fixed order cycle systems; production ---- inventory systems. Queueing theory; simple queue, multiserver queues. Queues in series. Transients in queues; simulation of systems. Applications.

Text 8aaty, T. L.

References Brown, R. G.

Dychman, T. R. et a1.

Hadley, G. & Whitin, T. M.

Taha, H. A.

/lollrs

Examination

Content

Flements oj Queueing Theory (Prentice-Hall)

Silloothing, Forecasting and Prediction of Time Series (Prentice-Hall 1963)

lHanagement Decision Making under Uncertainty (Macmillan 1969)

Analysis for Inventory Systems (Prentice-Hall 1963 )

Operations Research (Macmillan 1971)

I t hours per week

Progressive assessment

Introduction to the solution of static optimisation problems. Dynamic programming; computational refinements of the basic algorithm. Linear

] IS

programming; the Simplex algorithm and its revised form; duality theory; sensitivity analysis; decomposition algorithms. Transportation and assignment problems.

Texts Gass, S. I.

Nemhauscr, G. L.

Reference.l· Bellman, R. E. &

Dreyfus, S. E. Kunzi, H. P. et a1. Macmillan, C. Taha, H. A.

Noie

Linear Programming 3rd edn (Intern at. Student Edn, McGraw-Hill 1969)

lntroduction to Dynamic Programming (Wiley 1966)

Applied Dynamic Programming (Princeton U.P. 1962)

NOI1~Lillear Programming (Blaisdell 1966) Matliemfllical Programming (Wiley 1970) Operations Research (Macmillan 1971)

This subjcot is idcnrtical wiitih 1JIC first paTil of ME5SIG.

(vii) 544419 ME434 Advanced Kinematics and Dynamics of Macbine§­Eo Be~z

Hours

Fxaminatiol1

Content

H hours per week

To be advised

Dynamic Motion Analysis: energy distribution method, equivalent mass-and"force method, the rate"of·c1wnge-of.·energy method. Advanced Kinematics of the Plane Motion: the inflection circle, Euler·Savary equation, Bobillier's construction, Hartmann's construc­tion. Introduction to synthesis: graphical and Hnalyical methods.

Text

Hirschorn, J.

References Hall, A. S.

Holowenko, A. R.

Mechanics of Plane Motioll (McGraw-Hili 1962)

Kinematics and Linkage Design (Prentice­Hall 1960)

Dynamics of Machines (Wiley 1955)

(viii) 544420 ME443 Introduction to Pbotomedumics D. R. A. Budncy

HOllrs 1-! hours per week

Examination Progressive assessment

Content

Concepts of bi-refringence. Polarized Iight"plane, circular and elliptical polarization. Fundamentals of photoelastic methoc!->-stress-optic law

119

in two dimensions. lsochrornalies, isoclinics, isopachic:; ·--fundamental equations for linear and non-lineal' model materials. Model analysis for 1wo and three dimension problems which may involve static, dynamic or thermal loading conditions Calibration ofrnaterial and sojlJtioll ()j disc probJeOL

Text

References

Dally, ]. W. & Riley, W. F.

Dllrelli, A. J. & Riley, W. F.

Frocht, IVI. M.

Nil

r:xjJ{'ril1ll'l1/ol Stress Analysis (MeGraw .. Hill [965)

Introduction 10 Pl/OiO,-A1I'cJwllics (Prentice .. [-Jail 19(5)

Photol'lill'licity (Wilcy VoL I 1045 & Vol. J1 1948)

(ix) 5444,18 IViE>W) Reliahility Arllllysis for Mccllrmical SystCl(lS A. J. C'lmmbCl's/ A. W. R'Oberts

HOllrs I} hours pCI' week

Fwminaii(JII To be advised

COlllenl

Some important probability concepts. Fundamental concepts of the theory of relinbility. SOllle quantitative aspects of reliability. Com·· pancnt reliability and reliability of assemblies of compllllcnls, gradual and sudden failure Matrix formulation of problcrns. Spectral method for calculation of reliability. Basic concepts of sy;;lL'mo,. Reliabil ity analysis o[ systems. Methods for improving thc reliability of systems. Cost-Benefit analysis. Reliability Case Sllldics. Automohile suspension ignition system. systcIll.

7 nt

ShOOlllatJ, M. L

Referenccs

Haviland, R. P.

P(llovko, i\, iVl.

'143HI@

Prerequisites

Hours

]'ro/Ja/Jilistic Reliability. All Engineering Appro(fch (IVlcGraw~llill 19(8)

Etlgineering Reliability and l.ollg Life De.lign (Van Nostrand 19(4)

F'liilr/olllcntnis for /te/iohililv Theon' (Ac;,dcfllic I ()(,)»)

Physics 11, a Mathematics II with Topics CO, II alld B or D or F aft; (ce(Jjn~

mended.

,! lectuce jJOUl"S 8.: g laburatory hOllr:, Jll;r \\'l~ek

h;xaminatioll

Content

;\S~i(;s:snwnt to the cC]uivilknt of 10 hOWe 1 ')

minutes of examimtlion lime

The areas of ('lil~,sical and quantum phyc;ics essential to the under­standing of both advanced pure physics and also the many applications of physics. Some electronics is also included. A. Classical Physics Mathematical methods, advanced mechanics, special thcory (If lelat­ivity, electromagneties including waveguide ane! antcnna theory. B. Modern Physics Quantum mcchanics, atomic imrl molccuJ8r phy~;ics, ~;tali:;tical solid si(lte physics, nuclear physics, clertronics. C. Laboratory Parallels the lecture course in overall content with at least omo experj .. ment available in each topic. although students arc 11(11 expected to carry out an the- available.

Texts

'753300

Prerequisites

Hours

.Examination

COlltcnt

A Jist is available from tbe Depcut·· men! ofJiGe. Students should retain their Physics II texts.

Mathematics lJA, He & Psychology 11C

4 lecture hours & :1 laboratory hours per week

Tl1 he ;Idvised

'Umem' Statistical Mmlci!; l~ck'§mlality A'!':,<;c§.'ime!l~

lV;!ldhem~!lkal MmleJll i~ ll'j!R'cex}tion IImI JAll'lm.hf!!1 Cognition Pen:cpthm and Pbysiologieall·S'ychoioli,'Y. One or more additional topics to be selected from Psycholop.y III;\ or .lIn!-. Students will also be required to complctc an indC'pendel1i Jl1-

vcstigation ill 111athcmatical ]1~yehology under :;upcrvision.

'}'cxt

Keriinger, f. N. 8: Pedhazur, E. .1.

Mliitiple Rcgre.I,liulI ill fJe!lU1'iortil RCM'lIrch (Holt, Rinehart ,I{ Winston J 973)

References Coombs, C.

jilavell, J. H. 1-1 d <11. j\!faf/zclIwtiCIIl P.lycho!ogy (Prentice-Hall 1974)

The Dcvelopmel1tal Psychology of .le(lll Pingel

Jackson, D. N. 8; l\1essick, S.

(Van Nostrand 19!i3)

Problems ill Human AsseSI'll/eli! (NJcGra\v·· Hill 1%7)

121

Laming, D. Mandler, J. M. &

Mandler, G.

Prerequisites

Hours

Examination

Content

Mathematical Psychology (Academic 1973) Thinking: From Association to Gestalt (Wiley

1964)

SCHEDULE C

Mathematics IlIA & Physics nIA & such additional work as is required [or combined honours students by the Dept of Mathematics. A student desiring admission to this subject must apply in writing to the Dean of the Faculty of Mathematics bcforc 7th December of the preceding year.

1'0 be prescribed by the Heads of the Dcpts of' Mathematics & Physics. Project work will normally begin in the first week of February.

Examinations in the Mathematics & Physics topics selected by the student.

The student shall complete four topics from Mathematics IV, chosen for their application to Physics; he must also attend selected topics in Physics IV. A project of mathematical and physical significallee supervised jointly by the Department of Mathematics and the Depart­ment of Physics is also required.

MllIifbCHllllltl('$IjP,!'!ydi!oiGlltY IV

Prerequisites

Hours

Examination

Content

}

Mathematics IlIA, Psychology lITe. A student desiring admission to this subject must apply in writing to the Dean of the Faeulty of Mathematics before 7th Deeember of the preceding year.

To he advised

4 Mathematies topics chosen from the Part IV Mathematics topics (see page 55 et seq.) Psychological Measurement (see below). Mathematic:al Models in :Perception and Learnillg (see below).

Prerequisites

l!"IiJrdll!)I@.gi~"1 M0$1IDK'lllilIlHllt ~~, J. A. KIJi!.t§

Nil

112

Hours

Examination

Content

1 t hours per week

To be advised

The logic of measurement and its application to psychological phen~ omena and at least one paper on one of the more recently developed psychological scaling methods.

Text

References Atkinson, R. C. (eel.)

Campbell, N. R.

Coombs, C, H. Lord, F. M. &

Novick, ]\f. R Ross, S.

Torgerson, W. S.

Nil

Studies in Mathematical Psychology (Stanford UP. 1964)

Foundations of Science: The Philosophy of Theory and Experiment (Dover 1957)

A Theory of Data (Wiley 19M) Statistical Theories of Mental Test Scores

(Addison-Wesley 1968) Logical Foundations of Psychological

Measurements (Aarhuus Stiftsbogtrykkerie A-S 1964)

Theory and Methods of Scaling (Wiley 1958)

Oi) Mathematical Mmlels in Perception &; lLeanliug R. A. Heath

Prerequisites

Hours

Examination

Content

Part II Mathematics Topic: H recommended

1 t hours per week

To be advised

An introduction to the application of stochastic process models to the analysis of psychological processes involved in perception and learning. Use of a real·time computer.

Text

References Atkinson, R. C, et al.

Coombs, C. H. et a1.

Cox, D. R., & Miller, H. D.

Laming, D.

Nil

All Introduction to Mathematical Leal'l1ing Theory (Wiley 1965)

Mathematical Psychology (Prentice·,HaU 1970)

The Theory of Stochastic Processes (Methuen 1965)

Mathematical Psychology (Academic 1973)

17.3

Dlf'1,OM/j IN COMPUILR SCILNCF

SCHEDULE OF SUBJECTS

1 The lecturer in the will assume that all studel1'!$ havo a good understanding of the oolltlmt of items ill. this column.

2 Subjcets with It prefix C'~ are subject8 offered ill the Fa<;ulty of Mathe" m.atics specifically for the Diploma in Computer Science.

Topics C and E existing before 1978 arc no longer oHered as seplHate topics, and have been replaced by the Topie CO, whose present eontent: is a good guide to the assumed standard of attnil11llCnl indicatc(t below,

Group I

COire §ubjedfl

Subject!'

cs'~- Commercial Programming

CS - -[ntroduction to Logic & A~~,cmhly Lung\w;!C'::;

CS·"~~).)witchjngTheory & Logical Design

CS--,-Programming & Algorithms CS,,'··Data Structures &

l'lOgrmmnillg

CS~~Numc:del\1 Analysis

Urou{J II

Department , ' (·)ff' /HSllllled /\tandard

enllg , S;tbjcct of AttaInment l

ElectricaJ Engineering Electrical Engineering MathmnatiCil

MathcmaticB

MatJwltlatic§

MatllCmatics I. Topic SC, or Commercial Electronic Data I)ro(;cssin,R

Mathematics I

Mathematics I

Mathematics r CS-·.Programlllillg &

Algorithms Part n Mathcrnatics,

CO,D, F Topics

No, of Units

Sulljects ill the main"5(;:e<!111 of cOlHlmicr !idem:e Infonnation Sy~;tcHlS Quantitative nllsincss Analysis II

Sndal 1111plkatiollS of Computers

Sy~;tcm" Analysb

Systems Design

HE341-···,Autort1oJic Control

LE:145·-·-8mnplc Data & Dir:ital Control

EC325 ···Illlroduction to Digital Technology

E E447--Digital Communications

EE463····<:;omputcl Operating Systems

f:F464----Compilcr CO!l"tnlctiol1

EE,~62-,T()pics in Switchinfl Thc01Y

EB565,,·;Patte1'll Re'"',muitiml

l:,F566-,Automata & Computing Machines

Conuncrce Comrrlerce

Comrncrcc

Commerce

COilUllefC0

E1CCtticlll Hngin0l}dllg Blcctrkal EIlguwerlng

Electdcal Enginee,ing

Electrical Engineering ElectrIcal Engineering Electrical Engineeting Electrical Engineering Electrical Enllinc",ring Electrical Engjllcel'ing :mcctrlc~11 Engineering

12d,

COlnmercial 11DP

I\1athem.1t1cs I (;1' Cnl)1mcrdal ED!'

CS -·-Conullcrcial Programmin~! Systems Analy')is

Part II Mathematics, Topics CO, D, H

1'.1'.341 or lvIE361·,-Alllomatic Control

EF2o!J,- ·Jntrodllction to },ogic .x Assembly Langua.f!,cs

EE221---8emicondlldI...H' Devices

EE264··--·1ntroduction [0 Logic &. Assembly I .. anguagcs

EE264·--lntrodllction to Logie & Asscrnbly LarlguagC&

EE36L··Switching Theory & Logical Design

Part II Mathematics, Topics CO, D, II

Mathemallc9 r

EE341,,··AII(omatie Contml

Subject2

H11568 4 -A.dvanced Complltcl' Architecture

EH569~Formal IAlng1!!lgllB & Automata

CS",Themy of Computing

CS'~'Muthclllatical Principles of Numerical Anulysitl

CS~-Programming Langua,ees & Advanced Applicatiomi jn Computing

CS~"-COl1CUlTent Programming 'fcchniques

ME505·····,SystelJls Planning, Organization & Control

ME404··-,Mathematical l)rogl'amming

MESS1 G~··M"thelllatic,,1 llrogranllning

Group III

Departll1ent ()i" t' " A sSlimed Standard . ,(.r flo 'J S~bject of Attall1mellt·

No, oj Units

Ele"iEical Engineering Elcctiieill flllginoorillg

Mathematics

Mathematics

Ivbthcmatics

Mathematics

Me.cliAlueill EnginecAi1!IJ

Meelumlcal Engineering Mecbll11lc~1 Engineering

FE!'M~·"Intl'OdllctiOll to Logie & Assembly Languages

Mathematics X

Part II Mathematics, Topics CO, F or equivalellt

Pmt II Mathematics, Topics cO,n

Part II M"athematics. Topic F

CS-~Theory of Computing OR

EE463-~{~ompllter Operating Systems

Part n Mathematics, Topics CO,D,H

ME361-~'A\ltomatic Control Part II MathematiCS,

Topics CO, D Part n Mathematics,

Topics CO, j)

§lIbject~ which have some apIlIicatioll to computer science

CE51S-"Elastic Continua

TheOlieq or Organisation

FF323 Tinear Electronics

FE324Ir-I,lcctronics l.aboratory

hF34;! ·Lilloar System Theory

EE344- "Comnillnications

CF4:>.:? .. ,· Eleetrollic Design II

EE447.-·,·Nonlinear optimal contrill

EE443-·0ptimizatioll Techniques

EESl6-~,·Computer Aided Alll!lysi>l of Power··Systems

CS·Malhematical Logic

CS·,Theory of Statistics

~A"vtml1tot1c Method9 in

CS···lbmloIlI & Restricted Walks

CS· ""Signal Detection CS-~,'ltoclwstio Processes

C!;'~·Comhjllatodal Desigllli

Civil Engineering Commerce

Elcmieill Engineering

Electrkal EngIneering

Electrical Engineering nIectrk",1 Engineering Electrical Engineering l!lectrie.al flngineewlg Electrical Engineering Electrical Engineering Electrieill Engl!Jeetin!!

Mathematics

Mathematics

MntliematicB

Mathematics

Mathematics Mathematics

Mathematics

125

CE212·"Mechanics of Solids I: Part II MathematiCS, Topic D Organisational Behaviour EE:ro3"O~.nt1'Odl!Ction to

Electrical Infonnatioll HE321c-~Jl1ect1'01\ic3

PH221-Elcctromagnctics &. Quantull1 Mechanics

Em2:0-~E!ectrollicll

EE341-~Autolllatic Control

EH331 "".clrcl:lil", Part U Mathematics, Topic II

EE323--~J .inC'll' Electronics

EE37AI, ",fllcc(ronic:s l.abora(OlY EE-421·,,·~Electmnlc~

EE342, ··Lincar System TheolY

Part I[ M'athematics~ Topics CO, D

HE231·,,-lClleetdcal Glrcultu

Part II ·'vIathcmatics, Topics K & L

Part II MathematicS, Topic H Part II Mathematics,

Topics n, CO Part lH Mathematics, ']'opic P Part n lWathcmatics,

Topics CO, H Part HI Mathematics, Topk R Part n Mathematics, Topic n Part 11 Mathematics, Topic H j'arl n Mathematics,

Topi",; D, K Part 1 I M·athf'r.natics,

'l\)pic .K

Subject2

CS-~Quantitative Aspects of Social l'hcHOlncna

C'V~ml1h Theory

ME449--Reliability Analysis for Mechanical Systems

ME487~Operations Research Deterministic Models

ME488--0pemtions Research Probabilistic Models

ME503G~Design of Experiments for Engineering Research

Met 312-0ptimization & Control ~-~'InBtmrnentation Techniques

Department OfJerh g Assumed Standard Subje:t of A ttainment1

Mathematics

Part II Mathematics, Topics B, D & H

Pmt II Matllematics, Topics D, K

No. of Units

Mechanical Engmeering Mechanical Engineering Mechanical Engineering

Part II Mathematics, Topic H

Part II Mathematics,

Mechanicru Engineering Metallurgy Pllysics

Topics CO, D, H Part II Mathematics,

Topics CO, D, H Part II Mathematics.

Topics CO. D

Physics lA or HI 1 1

Th., Board may ~pprov© the inclumon in lA student'$ pr(JfI,l'ru:rtff.1e of a project. This project would be in lieu of Group III subjects and may not count more than two units. A student may sugg~t to the Dean fur (xm.giael'!ltioll by the Board the inclumon in his progt&l'Lme of II subject not listed in th© Sche(hile of SubjeelB. Students interested in positions as Computer System!> Officers in the Australian Public Service are strongly advised to include the subjects Sy&tems Analysis and Systems De.<;ignc in rtcheir COHr'Se.

§lIiJjcds Ovell'llllJIJillg in (~ol!tel!t

The Board of Studies in Computer Science has decided that pursuant to Section 8 of the Requirements for the Diploma in Computer Science a student is not permitted to include in his programme any of the mutually exclusive subjects listed in the Table helow, nor may he include a subject if he has previously included the content of that subject in his work for a degree or diploma which has already been conferred or awarded or approved for conferment or award.

1. Quantitative I-1nsiness Analysis II

2.. ME404~~"Mathematical Programming

3. CS----l11cory of Computing

~-----

ME487~-OjJerations Research ~~­Deterministic Models

ME581G----Mathematical Programming

EE569~Formal Lauguag(js and Automata

~.-~-~------~~-'

GROUP 1--- CORE SUBJECTS

Cmmucrdal I'mgm:mming I. R. Beaman

Assumed Standllrd of Mathematics 1 Topic SC or Commercial E.D.P, Attainment

Hours

Examination

Content

2 lecture hours per week [or 1st -j year

Two 3-hour papers (i) Theory-~--at mid year (ii) COBOL at end of year

Basic concepts of flIe handling amI file maintenance, including file creation and processing. Flow charting; file menrillfY and updating of transactions; tape block·· ing and buffering. "cO

General run types including editing, searching and sorting. Direct access versus serial; random or sequential organisation; fe-run tech .. niques; verifying programme accuracy; table lookup; programme rlocumentation and use of test data. COBOL as a business data processing and file organisation language. Extensive practical work in COBOL, including case studies.

Texts l:;eingold, C.

I.C.L.

References

Chai, W. A. & H.W.

Clifton, 11. D.

Davis, O. B. & Litecky, C. R.

DeRossi, C. J. Kapur, G. K. Laden, H. N. &

Gildersleeve, 1'. R. McCracken, D. D.

et al. Murach,M. Sanders, D. H. Sprowls, R. C. Stern, N. B. & R. A. Watters, J. L.

Fundmnentals of canol, Programming (W. e. Brown)

190() Series COBOL Mal/lial

Progmlnming Stillidard COBOL (Academic)

Systems Analysis for iJlI.Iill(,SS Data Processing (Business Books)

Elementary Cobol Progmlllll1illg (McGraw-Hill)

Learning COBOL Fast (Reston) Progralllming in Standard COBOL (S.RA.) ,System Desigll for COlilputer Applications

(Wiley) Programming Blisiness CUlllputl'rs (\Viley)

Standard COBOL (S.R.A.) Computers ill Business (McGraw·HiIl) Computing with COBOL (Harper & Row) Cobol Programming (Wiley) Cobol Programmillg (Heinemann)

532H2 C§·~,JntmdlKetim~ to l,og.ie & A..,§embly ».,all!ll!m1!es-.~j\ ..

Assumed Standard of lVlathematies I

K. Saluja

Attainment

HOllrs I} hOUf~ of lectures & practical work per week for whole year

1'),7

Exanlinatiofl Progressive assessment & final examination

Content Number Systems: Representation Arithmetic !:I,mlean Aigebrll: Combinational logie, Kamaugh Maps, flip

flops, sequential logic, counters Hardwan: components, processor structure, addressing modes, Assem .. bly Language. Instruction set, pseudo ops, Machine Language programming, Subroutines, Coo-routincs, usc of stacks, interrupts, macros, recursion, re-entry, linkers and loaders. !~ectures will be supplemented with practical assignments using the PDp·· I I computer.

:texts

EdulOuse, R. H. J1'

References Chu, Y.

Donovan, J. J. Friedman, A. D

Stone, H. S.

lIilinicofllputer Systems Organization and Programming (PDP-lI) (Prentice-Hall 1975)

Processor Handbook PDP,] 1/20 (DEC)

Computer Organization and Micro Programming (MeGraw·-Hill)

Systems Programming (McGraw-Hill) /,ogical Design oj Digital Systems (Computer

Science) Introduction to Computer Organization and

Data Structures (McGraw~Hi11)

5:UZ21 (CS~·,,8witchiug Thellry & lLQgicat Iksiuu-·K. K. Saluja

AS.I'tlnted Siw/dard 0/ MMhematies I Attainment

Ex:mnillutiofl

Content

:1 hours of lcctures, tutorial;; and practical work per week for the 2nd half year

Progressive assessment and final examination

Introduction to Sct Theory. Boolean Algcbra, Data representation, codes. er~'or detection and correction. Minimization technique for eombmatlOnal logie, Post's Theorem. Synchronous and a synchronous scql~ential machines. State reduction and secondary state assignments, LOgIC SUbsystems, registers, adders, counters, etc. u"Pf(wrammim" (minimization and coding lechniques). '" I~ec~ures will be. supplemented by practical assignments using Logic I tamers and Pl1p .. ll

Text Friedman, A. D.

R.eferences Kobavi, Z.

Mano, M. M. Mano, M. M. Prather, R. E.

Logical Design of Digital Systems (Computer Science 1975)

Switching al1d Fillite A ulomata Theory (McGraw,·HiIl ]970)

Computer Logic Design (Prentice-Hall 1972) Computer SYstem Architecture (Prentice··Hall) Introduction to Switching Theory: A Mathe-

matical Approach (Allyn & Bacon)

6@lU Cti~-Pl'ogr:mmlillg :mtl Algodtbms ~~- D. W. 1~1>a,t.t

Assumed Standard of Mathematics I Attainment

Hours 2, lecture hours & 1morial hour per week for the 1st t year

"Examination

Content

Dlie ] .. hour paper. Programming assignments are an integral part of the COIln;c.

Structured Programming, program design. Flow charts. Decision Tables, Natural Language formulations of algorithms. Introduction to FORTRAN, ALGOL and the conversational language BASIC. Use of higher level languages to solve problems of a nOlHlUmeric;al nilturc. Programming techniques, efficient programming, evaluation of cxpres~ sions, sources of error. Programme development, diagnostics, testing, etc. Nature of algorithms and heuri~ltics. Analysis of algorithms. Programm.e structure, proc(!dures, subroutines, scope of variables. Recursio11. Simulation, Random number generators.

Text Guttmamt, A. J.

References Day, A. C.

Kernighan, II. W. & Planger, P. J.

Kernighan, H. W. & Plauger, P. J.

K.nnth, D.

Pl'Ogml11ming alia Al[?oritlzl11s (HeincmiH1tl 1977)

Fortran Techniques: with Special Referenee to NOlHlli/JlCl'icai A pplicatiol1.\· (Cambridge U.P. 1972)

Thc Elements of Programming Style (McGraw-Hill 1974)

Sojtware Tools (Addison-Wesley 19'16)

The A rt oj Computer Programming Vois. I···· Fundamental Algorithms 2nd edn. (19'l3), JI·-Semi··numcrical Algorithms (1969), JU--·Softing & Searching ( i973) ( Addison··Wcsley)

129

Yourdol1, E. Techniques oj Program Structllre alZd Design (Prentice~Hall 1975)

660H2 CSc~,DlI.tll. Structures lUid I'J:'ogi'alnmilJl~ D. W. B~att

Assumed Standard oj CS~~··Programming & Algorithms Attainment

Hours

Examination

Content

2, lecture hours & 1 tutorial hOll!' pCI' week for 2nd ~ year

One 2-hour paper

Introduction to data structures: lists, strings, arrays, trees, graphs, searching and sorting; list processing. Higher level programming languages: Syntax and semantics. Backus normal form. IJolish notation. Declarations, storage allocation, sub­routines and linkage. Compilation, interpretation and translation. Study and comparison of data structures in several languages, e.g. ALGOL 60, ALGOL 68, COBOL, FORTRAN, LISP, etc.

J'ext

References Berztiss, A. T.

Day, A. C.

Galler, B. A. & Perlis, A. J.

Gear,W.

Knnth, D. E.

McCamcron, F. A.

Page, E. S. & Wilson, L. B.

Sammet, J. E.

Nil

Data Structures: Theory and Practice (Academic 1971)

Fortran Techniqu.es: with Special Rejerel1ce to Non-numerical Applications (Cambridge U.P. 1972)

A View 0/ Programming Languages (Addison­Wesley 1970)

CO/11puter Organizatiol1 (Inri Programming (McGraw-Hili 19(9)

The Art of Computer Programliling Vols I Fundamental Algorithms 2nd eeln (1973), n·Semi-l1umeriGal Algorithms (1969), IIl·~"Sorting & Scm'ching (1973) (Addinson-Wesley)

COBOL Logic and Programming (Irwin" Dorsey 1974)

Information Representation and lI;/anipuiation ill a Computer (Cambridgc V.P. 1973)

Programming Languages: History and Fundamentals (Prentice-Hall 1969)

130

66011.3 CS-~Nllmelicru Analysis .~., R. W. Gibberd

Assumed Standard oj Part II Mathematics Tpics CO, D, F Attainment

Hours

Examination

Content

1 lecture hour & 1 tutorial hom per week

One 2-hour paper

Solution of simultaneous linear equations by direct and iterative methods, and a selection from the following topics: Non-linear equations. Approximation--·funetions, experimental data, integrals. Random number generation. Overdetermined systems; linear program­ming. Optimisation. Ordinary differential equatiol1s--initial and boundary value problems. Eigenvalues and eigenvectors of matrices.

Text

Rejerences Forsythe, G. &

Moler, C. B. Ralston, A.

Steinberg, D. 1.

Nil

Computei' Solution oj Linear Algebraic Systems (Prentice-Hall 19(7)

A Firs·t Course in Numerical A l1alysis (McGraw-Hill 1965)

Computational Matrix Algebra (MeGraw~Hill 1974)

Additional references to be advised

GROUP II

Subjects ill the mailh~tream oj Computer Science

Ol'l'c!(cd by 'he Dcp!u1mcnt oj' (:mnl!i\ll)!t'cc

413611 Infonmdioll Systems

Note Oandidates who passed the subject Accounting Systems and Computer Applications or Management Studies prior to 1974 will not be per· rnitted to enrol in this subject.

Assumed Standard oj Attainment

Hours

Examination

Structure

Commercial Electronic Data Processing (or Management Studies if passed in 1974-)

2 lecture hours per week

Progressive assessmcnt! group assignments

Students will, at the beginning of the course, indicMe the level of attainment that they intend to maintain i.e. distinction, credit· or pass.

13]

Thereupon students will be grouped into threeso Lac:b of the thu';e will have the saIne attainment level intention. Most assignments will be set for group completion. Groups will meet together and allocate work.

Contel1t

General consideration of information systcms. Detailed comideration and practice in programming. Programming langnages arc COBOL for batch processing and DIDOL for direct access. An;dysi" of busincss information syst('nls.

Tcxts

Texts obtained by the International

Computers Ltd. Digital Equipmcnt

Corp. The University or

.Newcastle

U, David LI.

Burch, J. G . .1. & Strater, F. R. In.

Dock, V. 1'. & Essick, E.

MUfilCh, M.

Nejcl'enccO'

Eliason, A .. J. & Kitss, K. D.

IJ artnl an, \"1," Matthes, It, Promne, A.

lohnson, R .. A ('I. aJ.

Murdicjl, H. U. &" Ross, J. E.

Sehoderbeek, P. P.

Stern, Nancy

group, !lot necessarily each student.

Introduction to COBOL. r.C.L. Student Editioll (International Compu(en) Ltd.)

DfBOL k{aJ17w/ (PDP Il170) (Digital Equipment Corp.)

Computil1g Centre f!(/lldbook

Design {mc! 111(1I1({[1(,lIIclil in/orml/tion Systems (Science Izescarch Associatcs)

In/ormation Systems: Theory and Fmc/ice (Wiley)

Principles of BlIsilless Data ['mer-s,\ing (Science Iteseareh "">C,VCo '"

Business Data Processing witlz COBOl, Research Associates)

1II1sine,\s ComfJlIter Systems IInri ,1 ppliCafioll.1 (Science Research

Ill/ormatioll Syst(:lIIs lfii!1dbook (A.R.D.!) (Kluwcr<oHarr<lp)

'{he Theory (lnd !'vful1ogcmcllt of Systems (McGraw-Hill)

In/ormation Syslems for Jl1or/em A1a17(1gcilli'llf

(Prentice-Hall) Management Systems (Wiley)

Flowcharting: A Tool for lllldrrsi(ll1dil1g COIl1 PlIt{'/' logic (Vv'ilcy)

4l!.:UiOl i[Jmmfiil1lii.ve ~hi~lncfi!o; Amdy§is U

A sswllcd Standard Nil of Attainment

Hours ;.: lecture hours per week

J 3}0

Examinatiofl

Content

One 2-hour paper; progressive assessment & projeet

Quantitative methodology; BASIC prograrnming; mathematics review; decision theory; dem~graphy :llld its applications; CPM/PERT; inventory modelling; linear programming ~n practice; ~al1le th~ory; Markov analysis; queueing theory; dynall1lG programmmg; busmess forecasting; elements of simulation; management of quantitative analysis projects in real life.

Texts

Anderson, J. et al. Levin, R. 1. &

Kirkpatrick, C. A. Pollard, A. H. et al.

Starr, M. 1(, & Stein, 1.

Reference,I'

BauIllol, W. J.

Hillier, F. S. & Lieberman, O. J.

'faha, H. A.

Wagner, H. M.

A ssu/ned Standard of Attainment

!lOllI'S

EX{ll1lillation

Content

Thesis and Assignment Writing (Wiley)

Quantitative A pproaelzes 10 AfarlagPinent Jrd edn (McGraw-Hill)

Demographic Tcchniques (Pergamon) The Practice oj Managemcnt Science

(Prentice~Hall )

FC()/lomic Theory alld Opermiolls Analysis (Prentice-Hall)

Introduction to Operations Research (Holden Day)

Operatiolls RcsclIrdl: A II Introdllctioll ( Macmillan)

Principi es of 0 peJ'{ltiol1s R "sewell :( (lei cdn (J'rentic<,Hall )

]Vlathcrnatjc~ 1 or CmllllH,reial n.D.p.

2 hours per week fo]' 2lJd + year

One 3-houl' paper

The spectrum of political, legal, manageriul, philosophical, ethical and social issues; human variables associated with strategies of change; impact upon organisation structures; soeio-technical sv,;tems: eff't'ets upon commuuicatioIl, privacy, puhlic justification.

'texts

H ejel'(?/lces } ·lu he advised

410121 Systems Amdysis L R. Beaman

Assumed Standard Nil of Attainment

Huurs

[,'xam ination

Content

2 lecture hours per week fur the b[ t year & associated practical work

An examination at mid-year

This course seeks to fill a wide range of goals depending OIl the experience of the student, Systems Analysis covers the activities which occur early in the life cycle of a computer .. based business system,

Individual topics include systems concepts, the syskms analyst, the techniques of systems analysis, project control mcthod::, report standanls and structures.

:texts

nore, M. & Stuhbe, J.

References

Chandor, A. et aJ.

Cliftoll, Il. D.

Daniels, A. & Yeates, D.

nlans, T, B. et al.

Hare. Van ('tmrl

Kindred, A. 1<. Opine]'. S. !

Orilia, I.. ei al.

Semprevivo, P. C.

Wlci,s, E. A.

Assumed ,"'tam/art! of /1 ttainment

The National Computing Centre Systems Analysis & Desigll Studcnt NOks will be supplied.

Elements oj Systell1l' Analysis (\V. C. BroWll)

Practical Systems Allalysis (Rupert, Hart & Davis)

System.{ Analysis for Business Data Processing (Wiley)

Husic '/'raining ill SystelJls A /I{/Iysi.\' (Pitman)

Mall{lp,ClIlI'nt Systems (Holt, Rinehart & Winston)

Systc/lls Analysis: A Diagflostic Approach (llnrcourt, Brace & World)

Data Systems (lnd ]Y!al1agcmcni (Prentiee~Hal1)

Systenls Ana/V.lis tor Bllsiness All1llilgclIlenf (Prentice··Hall)

BlIsilless Dal({ Processing Systems (Wiley)

Syslellls Analysis: ])efinilioll, Process alit! Desigll (S.R.A.)

COIlipliter Usage! A ppliwtiolls (McGrawoo Hill)

CS· .. Commercial Programming, Analysis

H ollrs

F.xlImination

COllli'n!

2 lecture hour~ per week for lhe 2nd } year & associated practical work

All examinatioll at end of year

'['his subject is a development of Sy,tems Analysis, with the inclusion of the following topics: input design, output design, file design, detailed systems design, systems implementation. i\ n appreciation of the detailed techniques of Systems Desigll involved in the development of computer-based information systems from a range of applications ---- i.e. Inventory and Production control; order entry and processing; gcneral ledger accounting systems; salleS analysis; payroll, At least one such system will be observed in depth, as an attempt at detailed systems design.

Fex!s

Referenccs I f

A~ {oj' SYSll'flIS Allalysis

533in m;;345 Sample Balil HmI Ui!;it:d Conimi

Asslilllcd Standard of 1':1'3/1·] or i'vrr:36I AlltOIliatic Control Attaillment

nuurs 3 hours of lectures 8i. lut()rials per week

'Ex{llJlillatioli

Content I'ArallsfOlms; realizatioll oj' disen:k lime SystL'llI', slcady statc Jre .. quency response. Approximations and filler design, Classical frequency transfonnatiom, Butterworth and Chebyshev. Recursive de<;ign. Finite Impulse r'iHers, Classical Window desigll. Discrete I 'omier Transforms. The I 'as[ I "uurin Tr;\IIsfonn Algol'" ifhm. Discrete Random Signals, POlVer Spcclnnll Lstimatitln; Applicatioll of Fast Fourier Tramfonns to Covariance ;llltl Speetnill1 estimalicHl.

Text

St:mlt'Y, \V. D.

References Gold, B, & Rader, C. Digital Sigilal Proccssing (MeOnn\,olIill 1(69)

Text

Gries, D.

RejercnC<'s

Aho, A. V. & Ullman, J. D.

Donovan, I. J. J 'urthcr referewoes

Compiler COlls/ructioll JOI' Digital Computcrs (Wiley)

The Theory oj Parsillg, Translr!lion and COll1piling Vol. 2 (Prcnticr>HaJ1)

,\'-"sICIl1.\· Programilling (IVlcGrz\\v-1 Iin)

will be given ill clas~;.

534145 J';k:4(}2~~l'Ollks in Switching '.rluo{lI'Y

Assllmed Standard of EE362 Switching '1hCOlY & A ttaillmcn t

flours Three hOllrs per week fOI (he hl ;.. ye:,r Co/ilent

~;Ol~~lete ,o~ot of _~ogi.'o primitives, strollg and weak complete sets . . ,ost s theo] ~m .. bjUIValeuce classes of functions. Decomposition Cel.lu:~~·. reahz.atlOl; of com,~ir:ational and sequential logic functions. ,U~l.vusal LOgIC NlOdulcs. FmIte and infinite cellular arrays and their le'l1llg. Programmable cellular logic. .

[exI

/(c!e!'cIICi'.\

MllkJlOpadlJyay, A (cd.)

Friedman, A. D. & Menon, P. R.

Kohavl, Zvi

To be determined

Recellt Ui'vc/0PIIIClIls ill Switchill" Thcory (AcadcmicPfe.~s) .,

Fault Detection ill Digilal Circuits (Prentice" Hall)

Switchillg awl 1'il1ite A 1I10111l71a lhcory ( McGnnv-Hil!)

530103

530119

530U5

530.IU

!B0122

1':1';565 l'atiem U-eeognitiOJl

l£I<:566 A\lltollmtn & COlllllIIIlUt~ IV1nchhlC5 EE567 Computer l'l'oCCSS Control not offered in 1979 RE563 Advanced Comlmtl)l' Al'cilitectufe

J[';:K~569 l?omml Languages & Automata

660127 of Compllting

•• 60 PIl Cfl,,-"Mathcmatical of Nmm~I'ical

(,601:32 CS"~l'll'ogrammmg L:mguages & Advanced Apl}licaiioKls in

664403 (:8 ,",Col1current TfJcimjlllH)1l

lJiI

l'Vla!hema!ies IU Tonk Te se:o page 50' , Mathematics IU Topk Z, set) page 54 .

Ivbthcmatics JJJ l'ollic Pl., see page 47

Mathel1H1Jtics IV, see pagf) 56

Offeretl by DelJllI'lment of Mel'baniclll l<:llgmecrwg

540126 544417 54()U9

MES05 Systems Planning, Organization & Contl'ol~~c page In ME464 Matllcmatical Pl'ognlll1miIlg~e l1age 118 ME51l1G Mathematical PI'ogrammiJ)g-~-Sec cnginre:cring Faculty Handbo'Ok

UFWUl' fll

Li3ted below are a number of subjects \vhich the Board regards 3~ suitable for Group III. This Jist is not, however, intended to he exhaustive and other subjects will be considered.

Ofl'cred by Department of Civil Jt:ngil1eCdllg

:52005 (;1<;515 Elastic COlltimIll. ~.,- For dolail;; consult the Engineering FamlHy Handbook

413612 Theories of Orglmislltion

Assumed Standard of Organisational Behaviour Attainment

Hours 2, lecture hours per week

f~X((lI1il1ati()11 Two 3"hollJ' pap(crs

Confent

The influence of politics, power and conflict: topics include organis3" tions and the rationalisation of work; organisational structures; bureaucracies as working communities; the scientific management movement; Mayo and the Hawthorne experiments; Kurt Lewin and field. theory; group membership and intergroup conflict; search for principles of management; worker participation models; organisational dcvelopnwnl; and propositions of organisatioJ1al hchavillllr.

'{pxt.\·

Lupton, T.

Poole, M.

Sofer, C. 01'

Mom:dis, .N. 1'.

H c jerellces Argyle, M,

tviwwgel1lPT1i and the Social Scienccs (Penguin)

Worker Participation ill Industry (Knllttedge Kegan & Paul)

Organisatiolls ill Thcory and Praclice (Heinemann)

Orgal1isation and fJ/lrerl1lcracy-·-~A 11 A nalysi.l' of Aiodern Theories (Routledge Kcg:m & Paul)

The Psychology of Intcrpersollal Behaviour (Penguin)

.139

Brown, \V. Organisations (Heinemann) Kast, P. &

Rosenzweig, J. E· Katz, D. & Kahn,

R. L.

Organisation and Management.' A Systems A pproach (McGraw-Hill)

The Social Psychology of Organisatiol1s (Wiley)

Kerr, C. D. el al. Klein, L.

Industrialism alld Industrial Mall (Pelican) Nell' Ff)J'llIs of Work Organisation

(Tavistock) Orgal1isations (Wiley) March, J. G. &

Simon, H. A Margulies, N. &

Raid, A. P. Organisation Development.' Vailles, Process

and Technology (McGraw"HilI) Silverman, D. \Voodward, J.

The Theory of OrganisatiollS (l:Ieincmann) Industrial Orgallisatiol1: Theory and Practice

(Oxford V.P.)

OtIci'ml by UClmdrmmt of: ]Eleddcal 1<:lllgineel'lllg 533107 1010323 I,iH~ar ]}~lcctroJlic§1

53:H08 Im3241" .Electronics l ... aboratoJ'Y 1

533110 Im342 Linear System 'H1C01'Y,

533113 EE344 Communications 1

534109 EE421 Electronic Design A, 534110 EE4Z2 Electronic DeSign B, 534140 Im442 Non·Lillcar "/ltbual control- 'J101 offered in 1979 534132 EE443 Optimization TccI:ndquCfj1 530100 EIC516 COllllmtcNlidcd Analysis of I'ower 13y'telll~ -·not uffered ill 197Y

6!>Ol14 {.c§ ··Matlwlllaticlil I.OIl;"

660U9 Cfl·-'l'l!co/'J· of Statisiks 660J 18 Cfl·· .. A'yullllolic Methods

·~13ee MlIlitcmati<§ HI, 'i'olJic (I Ilal1e 15 r~Srt:~ I\'lafhcmatfffi HI, Topic n page 48

in Al1alysis 660 119 ([;s·~·n'Uldom ami J~c,tdd~fl

WaUw (.60120 CS," .. Sillllal Detection M0)21 «.:;~ .. ·§iochasf.ic I'm"c"c§ 6(0)22 CS .. · .. Combhmtol'iai i)CSigllS

660123 C§·~Comb;lIatol'ks

660125 CS· .. ·Grapb Thcoy,v 660131 CS···Qmmlitativc Aspects of

SndaJ Phenomena

Offered by

,~·n"t offered ill 1979

'-not off'"rcd ill 1979

·· .. not offered In 1979 . ,not offere!! ill 1979 ,·-·Seo Mathematics I'll .. ·,1300 W/1I(hCll1atic§ IV "~lIot offered in 19'19

.... ficc M"thclI1atks I\,

5444 III ME449 Reliability Analysis for Mechanical S~'stcmS1

544841 ME48'1 Operation, Research .. - Determ;,';s!ic ModelS! 544114Z ME488 Opera!if"', Research .. ~ Probabilistic Models, :140101 ME503G JJcsigll of E"llcnmcnts for Eilgil\cel:in!~ lRescard" 1 For details consult the Engineering Faculty HandbooK.

Offered by nelnublleillt of M{~t!!lIllrgy

n:n12 Met 312 Opllillizatioll and COlltrol1 1 Fo .. details consult the Engineering Faculty Hanclbook.

140

page '/l page 68

PHgO 62

660U6 C~llljgtmm@n~Uoll!l T®j~lmiqulill!i

Assumed Standard of Physics JA or IH Attainment

Hours

Fxaminatioll

Content

One honr per week & a 12-hour project

Project assessment & one 2"ilour paper

From the subject Electronics and Instrumentation II:

Texts

Specialist InstnmlCntation Illstrumentation Systems Measurement Dcvice~

8 lectures g lectures

14 1t:ctllre~.i

Malmsladt, H.Y. et al. I nstrllJJ1entatioll jar Scientists Series (Vols 1·4) Text with Experiments Of Text only or cowbined volume (Benjamin 1(73)

141

RESEARCH IN THE DEPARTMENT OF MATHEMATICS

Algebra

Associate Professor '11'. Brisky is \x,'orking 011 some problems relating lu the lattices of subvarieties ()f certain vilriC'lies of gronps, and OIl

SOllle applications of algebra to some data-processing problems.

Biol11athematics

Dr 'IV. Summerfield is currently stUdying fluid flleehanieal ft:atutes of the cardiovascular circulatory system. He is interested in the mnthe~ maticnl modelling of all fUllctions of the lllunan body.

Chemical Kinetics

Dr D. L. S. McElwain is working on the malhematical rnodellirl" of 1l0n~eql1ilibrimn phenomena in gases, using the Mastcr Equation approach.

Combinatorial Theory and Operations Research

Dr R. B. Eggleton is interested in all aspects of combin:1torial mathe­matics, particularly graph theory.

Professor R. W. Robinson is applying combillatorics to the connting of various structures, such as graphs and search trees.

Dr R. J. Vaughan is interestcd in the application of optimisation methods to industrial production pwblems.

Associate Professor \,y. D, \V,lIli, is carryiag out research un blod; de~igns ami graph t hcory.

Computer Science lind NlIl!1erical Analysis

Dr D.W.E. Blatt is working on models of programme referencillf', beha.viour and studying performance of memory management systems'. He is also interested in analysis oj' algorithms and cOlllllutalional complexity, and the development of programming langt{ages and systems.

Associate ProJessor A. J. Guttmann is interested in methods of fl.lf~ction. approxir:latioIl, particul:lrly from the viewpoint of llsing n differentIal equatlOn representatlOl1. He is also interested ill the analysis of theoretical and experimental data.

Dr W. Summerfield is working On way,; of determiuing the "COll~ dition" of linear systems of equations. Furthcr, he is interested in the solution by linear marching schema of ordinary differential equatioDS, in parlicular "stiff" systems. He is also investigatillg the finiic clenwnt method of solution for partial diffcrenti,ll equations.

DifJerential Geometry and Relativity

Dr P. Smrz is working Oll generalizatiolls of Eimtein's theory of relativity using modcrn differential geornetly'· ill particular, the theory o[ Lie groups and fibre bundles.

]42

Dynamical Systems Dr J. O. Couper is working on stahle and and difl'eomorphisms.

j';nviromnelltallJlld Urban Studies

propertic~; of flows

Dr R. W. Uibberd is studying the art or population projectiuns and various models of urban structure and urban development. He is also interested in urban sociology, voting patterns and urhan demographic models.

Dr R. J. Vaughan is investigating mathematical models ill urban geography.

Associate Professor 'YV. n. Vvallis is working on rnathematical modelg in urban geography and urban sociology.

Fluid Mechanics At;sociatc; Professor A . .I. GuttmanIl is studying the pwhkm or extra .. polatiug regular perturbation series in fluid mcehanics.

Dr W. 1'. F. Lau is conccrned with potential flow and viscous How problems. Meniscus profiles are also of eurrcnt interest.

Dr W'. Summerfield is interested in all phenomena in which fluid dynamics plays a signficant role; for example, ocean waves, lurbu~ knee, eSluariendynarnies, vveather prcdieliol!, sailing vessels, surfing, animal propUlsion.

,Fllllctional Analysis Associate Professor J. R. Giles is carrying out research in the par", ticular area of the geometry of Banach spaces, and interest there is focused on various smoothness and rotundity properties of the norm and their implications for the space. Attention is being given to tile general ising of this work 10 convex analysis.

Dr V. Ficker and IvIr C. J. Ashman are lH mcn:iUre particularly in some problems or families of set,.

liistory of lklathelllatics Mr R. F. Berghout is pursuing research into the devdopment of algebra, notably modern algebra, as well as the relations between this and classical occidental and oriental algebra.

Mr Hcrg!wut is workiug 011 Greek

Information Theory Professor R. G. Keats and Dr A. J . Dobsol1 ilrc continuing to work in co-operation with research scientists at the Defence Research Centre who are active in the study of signal processing. This work involves the study of non-linen I' systems with siochastic inputs,

) ,cxicostatistics Dr A. J. Dobson sWdies the hi,;jorical and l'rb!i[)nships

between languages by statistical analysis of their vocabularies. Sto .. chastic models of language evolution are developed.

Mathematical Models of Tumour Growth Dr D. 1" S. McElwain is investigating models .tor the growth of solid isolated tumours.

Medical Statistics, r"7pidemiology

Dr R. W. Gibberd and Dr A. J. Dobson arc collaborating with the Medical Faculty in analysing mortality data in Australia and smaller areas in New South Wales, as well as data coming from the Hunter Valley heart attack study.

Models of Learning Dr A. J. Dobson works on the mathematical formulation of leal'1ling theories and on the statistical analysis of experimental data.

Number Theory Dr R. B. Eggleton is interested in number theory, particularly in combinatorial aspects of the subject.

Dr T. K. Sheng studies the structure of humanly manageable numbers, application of dispersive and explosive linear operators, distribution of algebraic numbers in the complex plane, and functions defined on rational numbers. Lines determined by lattice points and application of the results obtained to statistical mcchanics arc studied. Convexity indices and their applications to transport networks, elc.

Statistical Mechanic,\' Associate Professor C. A. Croxton is working on the statistical mechanics of liquids, polymers and liquid interfaces. Dr R. W. Gibberd is interested in most aspccts of statistical mceh" anics. Associate Profcssor A. J. Outtnlann is working on the theory of equilibrium critical phenomena. He is particularly interested ill the analysis of power series expansions which are frequently used to study systems exhibiting phase transitions. Dr W. P. Wood is investigating the conformational propertics of lOll), chain moIeeules.

Statistics Dr A. J. Dobson is interested in circlllar disiributiolls, 1l01l~lillear estimation problems and the application of statistics to psychology. Associate Professor W. D. Wallis is working on the theory and appljc~ atioll of Room square designs and paired comparison tksigllS.

Transportation Problems Dr R. J. Vaughan is continuing his work on the application of mathematics to traffic engineering, traffic acdden[s and transportation phtwJillg.

144

(;ompnter Numbers for nachelOl' of Mathematics Subject!>

Computer Numbers must be shoWll on enrolment and eourre variation forms in the; foHowing manner: Candidattes wishing to enrol in any subjects not listed should CUl1Bult the Paculty Secretary. Computer Number SUBJECT NAME

Pari I Subjects 411100 Accounting I 71110() Biology I 721100 Chemistry J 311400 Classical Civilisation 1 261100 Drama I 42000 Economics 1A

541100 Engineering I (4 components)

331100 ElIgiish I 341200 French IN 341300 French IS 351100 Geography I 731100 Geology J 361500 German 1 N 361600 Gennan IS 311100 Greek I 371100 History T 291100 Japanese I 3117.00 Latin I 431100 Legal Studies 1 271100 Linguistics J

111100 Materials Science 1

661100 Mathematics I "RUOO Philosophy I '141700 Physics lA 741300 Physics III 751100 Psychology] 311300 Sanskrit I 301100 Sociology I

412J(J(l Accounting HA )12100 Biology IIA 'Ilnoo Biology nB 722)00 Chemistry HA 522700 Civil Engineering IIM

(4 components)

511101 ChElO! Industrial Process Principles

521101 CEllI Statics 531203 EEl31 Circuit Fundamenta!s 541! 04 ME III Graphics and Ellgilleeru1g

Drawing 501101 GE112 Introdnction Engineering Dcsigll 541103 ME131 Dynamics

~~~~,"~ .. ,.,. .~~"~~.-~"~ .. ~~~~.~~.~~~~~~~ ... ~~

111142 Mechanica! Properties of Materia), 1.11152 Ivlicl'Ost1'llcturo of Materials J I 1183 Atomic Structure of Materials & either ]] JJ 23 Chemical Metallurgy or 111184 Electronic Structure of Materials

522107 CE212 Mcchallics of Solids I or

542105 ME214 Mechanics of Solids I

145

Cornrmtc!' NiUnhci' §lJl1.JECT NAME

312500 "GlAOO 422100

Classical Civilisation II Computer Science II Economics JJA

Cmnpntcl' Nmnber

522202 CE231 Fluid Mechanics J or 542204 ME251 Fluid Mechanics 1 522106 CE22! Properties of Materials or 542102 ME2Al Properties of Materials J 522105 CE222 Materials Technology

122200 Economics un (2 componcnts)422206 42221J1

Comparative Br01Ul1nic Systems Industry EcoJ1()Jnic~

~1222n2 Labour 1~c0nomics 422107 Money & BankinG tt21107 Introductory Quantitative :~Vfct1W\lS

122207 Economics and Politics 422t05 Economic Statistics II 422106 Statistical Analysis

:122200 J:clucalioll II (2 component,,) 322201 Individual/Social Development 37,2202 History of 'Vc~\tcrn Educntipn ~22203 Comparative Aspects of

Education

'742200 Electronics &; Instrumentatioll II

332100 English llA :112] 00 French IIA

352100 Geography lIA (3 topics)

352200 Geography JIB

352300 Geography HC

732200 Cicolngy ITA n2300 (lcoloJ;Y liB ]'1),100 HistOlY llA :l'127.0() History nTl 3723(10 !l istory lIe N2100 Japanese JJA 43nOO Legal Studies lIA

662100 Mathematics HA 6G2200 M,rthcmatics lIB 662210 Mathematics IlB Pot! {j62nO M~athen1atics nn Part (J6noo .Mathematics TIC

382JO[) Philosophy lIA 382200 Philosophy 1113

742100 Physics JI 752100 l'sycholoey IIA 752200 Psychology IIB 752300 Psychology lIe

352JOI 352102

352103 352104 :152201 :152202 :l52301 3523U). 352303

[ Ij(j

Topic A~-~Ec0110mic Geography Topic B .. -Historical &; Political

Geography Topic C-.. -Urb,,11 Social Geography Topic D--.. ])cveJopmcnl Geography Topic 10- Climatology Topic 1L -(J-cOJllorphology Topic (i~ ~~.rvlonsoon A Si;\,

Topic H---IVlol1soon A:-.ia n Topic I-"----Gcographic Data Procc;:.si1i;~

3 topics fr0111 liftt above

3 topks frml1 list nbovc

Arrange topics with J )cp!trtlllcnt

Arrango topic;.} ,vith DcpartmcnL

Computer Number

I'art HI Subjects

413900 Accounting IIlC

713200 Biology lIIB 513900 Chemical Engineering HIC

{G components)

:n700 Civil Engineering HIM

533900 Communications &, Auto·· Dlatk Control

Computer ~umhcJ,'

Either

413100 Accounting lIlA or 4132()O Accounting IIIB and two Parl III Maths

topics 513101 ChE301 Computations 513104 Chh312 Reaction Engineering 513105 ChInn Transport Principles 513222 ChE314 Process Control 513 J 07 CIl E322 Particulate Systems 513221 (;hE331 Process Economics 51~115 Ch10412 Radiant Heat Trallsfer

52310], 523105 523301 523107

533213 533110 534132 534136

CE324 Soil Mechanics CE313A Structural Analysis J CE332 Fluid Mechanics II eE351 Civil Engineering Systems

EE341 Automatic Control 1212312 Lincar System Theory EE443 Optimization Tccl1niqllcs 1312344 Communications

60340() Computer Science III 534137 Compiler Construction

533901 Digital Com]luters &

410!O3 534138 53390], 663401 663402

(;63404 410104

COllullerciai l>rogramml11g Computel' Operating Systems Switching Theory & Logical Design Mathematical Logic ]\1atilematical Principles of Numerical

Analysis Programming Lal1guagcs & Advt'w.

Applications in Computing Theory of Computing Systems Analysis & Dcsip,n

Antolllalie Control 533213 EE341 Automatic Control E13342 Lincar System Theory

423800 J~collomics HIe (7, components inc.Jlldjn!~ ECOllometrkR T &/01' t,,:1athci11rttical E('OtlO111k '-)

133300 Geology IIlC

543500 Industrial Ellgineerillg

533110 :;nl11

533220

4}.3208 '12}2()~

47.0104 '12.1\ 02 423103

EE2G1 Introduction to Logic &: A";,,mlllJJy Languages

EE362 Switching Iheory & Logical Design

FC'OllOIlJctries I 1\1atlH'matical Ecolwlnics OnY\vth &, ])c;yc]opmcnt l'lt{~rnational LCOJl0Hlic{ Publk Economics

543501 ME381 Methods Engineering 543502 ME383 Quality Engineering 543503 ME384 Design fol' Production & one oL 544125 ME419 Bulk Handling Systems Analysis

&, Design 5,j,!'lUl :ME449 Reliability AI)[llysL fN

Mechanical Systems 544105 l\1E482 Engineering I-:-:COl101Uks 544104 ME483 Production Enginecrinp.

[4'1

COIllllllter Number

663100 Mathematics IIJA 663200 Mathematics IIIB

Comlmtcr Number NAlIlES OF COMPONENTIl

Arrange topics with Department

553900 Mechanical Engineering nrc 543204 ME361 Automatic Control (4 componcnls--check 544451 ME401 Systems Analy,is subject description)

540126 MESOS Systems PlanlliIl!'. Orga!!isatioJl & Control ~

514417 ME404 11athc1l1atical Prog-rmnming 54<1419 ME434 Advanced Kinematics & Dynamics

of Machiru?;s 544420 ME448 Introduction (0 Photomcehanics 544118 ME449 Reliability Analysis for

Mechanical Systcms 514841 ME487 Operations Researcho

-­

Deten11instic 1vlodels 5~4842 ME488 Opcrations Hescardlo

--­

Probabilistic Models ~--------------

743100 Physics lIlA 753300 Psychology HIC 663300 Statistics HI

1'~rI IV Subjects 664100 Mathematics IV 6643()O Mathematics/Physics IV 664200 Mathematics/Psychology IV

410136 531112

533221

660111

660112

660113 413611 412('()1

410135

41012', ,HOLl8 533213 533 1I2

533115

534134

534lZ4

53414,\ )34145

530108 530119

530125

CS~-Conllncrcial I)rogramming CS--··lntroduction to

Logic & Assembly Languages

CS·-,-,SwitchiJlg Theory '" J~ogicaJ Des ign

Cs.-, .... Prognnnming & Algorithms

CS-~,Data Structurcs & ProgranlIuing

CS~~Nllmcrical Analysis Jnfonnatioll Systems Quantitative Ilusiness

Analysis II Social Implications of

Computers Systems Amllysis Systcms Design EE3>!] Automatic Cont,,,! EE345 Sample Va[:1 &.

Digital Control EE325 Introduction (0

Digital Technology EE447 Digital C01l1111unica~

tiOllS

EE463 Computer Operating Sys!<;ms

EE464 Compiler Construction EE462 Topics in Switchill?,

Theory ,

13.£565 Pattern Recognitiolll EE566 Automata & Com·­

puting Machinesl EE567 Computer Process

Controh

14ft

Conwute!' Number

SUll,mer NAME Computer Numb"I'

530121

530122

660127 660128

660132

540126

544417

540119

520115 413612 533107 533108

533IJO

533113 5:14109 534110 534140

534132

S30100

660114 (JG0129 660118

(,(,0119

('()0120 660121 660131

££568 Advance{! Computer Architecturel

EE569 Fannal Languages & Automatal

CS~Theory of Computing CS--Mathcmatical Principles

of N umetical Analysis CS-~~Programming Languages

& Advanced Applications in Computing

CS-Concurrcnt Progranlming TcclUliques

MES05 Systems Planning Organisation & Control

ME404 Mathematical P rograrnming

ME581G Mathematical Programming

CE5J5 Elastic Continua Theories of Organisation EE323 Linear ElectroniCS EE324L Electronics Labor-

atory £E342 Linear System

Theory EE344 Communications EE421 Electronic Desien A EE422 Electronic Design H EE442 Nonlinear Optimal

Control! EE443 Optimization Tech·,

niqucs computer--aided Analysis of

Power Systemsl CS~.Mathelllatical Logic CS,~ -,Theory of Stll listie, CS~~1i\symptotic Methods in

Analysis!. CS--Randolll & Restricte(j

-Walks, CS---,SigrlHl Dl,tectiolll cS---,Stochastic Process] CS-Quantitative Aspect'i of

Social Phenomena

66011.2 66012.3 060125 544418

CS~ -Combinatorial Designs CS-Combinatorics CS---Graph Thc01Yl ME449 Reliability Analysis

lor :rvlechanical Systclm;.

544841

544842

540101

IIJ312

ME487 Operations Research .-.-Detenninistic Models

ME488 Operations ReSeaITh -Probabilistic Models

ME503G Design of Experi~ ments for Engineering Research

Met312 Optimization & COlllrol

74220] G;o~~Instrumel1tati(>1l Tech·, niques

IN,,! ,,[fered in 1979

149

NAMES OF COMl'ONIENTS

J l

/' /' , \

\

\ \

\

\ \

\

\ \ \

H \ )\ N \J tI

\

\ \.