HERIOT-WATT UNIVERSITY · Web viewMATHEMATICS. SCHOOL OF MATHEMATICAL AND COMPUTER SCIENCES. Information Guide for Students for the Session 2005-2006. KEEP FOR FUTURE REFERENCE

HERIOT-WATT UNIVERSITYMATHEMATICS

SCHOOL OF MATHEMATICAL AND COMPUTER SCIENCES

Information Guide for Students for the Session 2005-2006

KEEP FOR FUTURE REFERENCE

Contents1. Introduction............................................................................................................................................ 3

1.1 This Guide...................................................................................................................................... 31.2 Departmental Aims......................................................................................................................... 31.3 Other Sources of Information.......................................................................................................... 3

2. General Information................................................................................................................................ 42.1 Lectures and Tutorials..................................................................................................................... 42.2 Teaching, Revision and Exam Weeks..............................................................................................42.3 Attendance...................................................................................................................................... 42.4 Notification of Special Circumstances Related to Examinations......................................................52.5 Careers Advisory Service................................................................................................................ 5

3. Mathematics Degrees and their Modular Structure..................................................................................63.1 Mathematics Degrees Offered......................................................................................................... 63.2 The Module System........................................................................................................................ 63.3 Personal Development Planning......................................................................................................73.4 Transfer Between Courses and Modules..........................................................................................73.5 Common Assessment and Progression System (CAPS)....................................................................73.6 Resitting Modules........................................................................................................................... 8

4. Departmental Support Structures............................................................................................................. 94.1 Mentors........................................................................................................................................... 94.2 Year Directors of Study................................................................................................................... 94.3 Staff-Student Committee................................................................................................................. 94.4 The Head of Department............................................................................................................... 10

5. Communication within the Department.................................................................................................115.1 Your Responsibilities.................................................................................................................... 115.2 How We Will Contact You............................................................................................................115.3 Computing Facilities..................................................................................................................... 11

6. First Year Course Information............................................................................................................... 126.1 General Information about First Year............................................................................................126.2 First Year Modules........................................................................................................................ 126.3 First Year Module Summaries.......................................................................................................136.4 Assessment, Exams and Progress to Year 2...................................................................................14

7. Second Year Course Information.......................................................................................................... 157.1 General Information about Second Year........................................................................................157.2 Second Year Modules.................................................................................................................... 157.3 Second Year Module Summaries...................................................................................................167.4 Assessment, Exams and Progress to Year 3...................................................................................17

8. Third Year Course Information............................................................................................................. 188.1 General Information about Third Year...........................................................................................188.2 Third Year Modules...................................................................................................................... 188.3 Third Year Module Summaries......................................................................................................198.4 Assessment and Exams.................................................................................................................. 20

9. Fourth Year Course Information............................................................................................................ 21

9.1 General Information about Fourth Year.........................................................................................219.2 Fourth Year Courses...................................................................................................................... 219.3 Examinations................................................................................................................................. 229.4 Classification of Honours Degrees.................................................................................................22

10. Staff and How to Contact Them........................................................................................................ 2411. Course Structures for all Mathematics Courses..................................................................................25

11.1 B.Sc. in Mathematics (Hons.) (F111) / General Maths (Ord.) (F112).............................................2611.2 B.Sc. in Mathematics (Hons.) (F141) / General Maths (Ord.) (F142) with Physics.........................2811.3 B.Sc. in Mathematics (Hons.) (F151) / General Maths (Ord.) (F152) with Economics...................3011.4 B.Sc. in Mathematics (Hons.) (F151) / General Maths (Ord.) (F152) with Education.....................3211.5 B.Sc. in Mathematics (Hons.) (F181) / General Maths (Ord.) (F182) with Computer Science........3411.6 B.Sc. in Mathematics (Hons.) (F191) with a European Language.................................................3611.7 B.Sc. in Mathematics (Hons.) (F1A1) / General Maths (Ord.) (F1A2) with Statistics.....................3811.8 B.Sc. in Mathematics (Hons.) (F1B1) / General Maths (Ord.) (F1B2) with Finance.......................4011.9 B.Sc. in Mathematics with Management (Hons.) (F1C1)...............................................................4211.10 B.Sc. in Mathematics (Hons.) (F1D1) / General Maths (Ord.) (F1D2) with Psychology.............4411.11 B.Sc. in Mathematical, Statistical and Actuarial Sciences (F1F1)..............................................46

12. Appendix A: Other Course Options...................................................................................................48

1 INTRODUCTION 3

1. Introduction

1.1 This GuideThese notes have been prepared primarily for the guidance of students in the Department of Mathematics, part of the School of Mathematical and Computer Sciences. The Department is located in the Colin Maclaurin (CM) building.

The guide provides an outline of courses taught by the Department and gives a summary of University and Departmental regulations. While we try to make this guide as accurate as possible, you should note that the detailed University and Department regulations take precedence over this guide.

1.2 Departmental AimsThe Department of Mathematics has a very broad mission in the University, comprising undergraduate education for mathematics students, service mathematics education, research and graduate education, and various outreach programmes. Each year, over one thousand students study a course taught by the Mathematics Department.The goals of the Department of Mathematics are to deliver the highest quality teaching of mathematics to all students who take classes in mathematics, and, through its research, to contribute to the advancement of mathematics and its applications. In the teaching assessment in Scotland we were rated “highly satisfactory” (the second highest rating) while in the UK Research Assessment Exercise we were rated “5”, the top grade for Applied Mathematics in Scotland.For our mathematics students, the aim of the curriculum is to ensure that our graduates have a sound knowledge of mathematics so that they can successfully pursue careers in industry, commerce, education and scientific research.We offer honours and ordinary degrees in mathematics and also in mathematics combined with a variety of subjects. These subjects are currently: physics, economics, education, computer science, European language, statistics, finance, management, psychology and statistical and actuarial sciences. More details are given below in Section 3.1.

1.3 Other Sources of InformationFurther information concerning University regulations and policies is available from the Academic Registry (http://www.hw.ac.uk/registry/) and in the School of Mathematical and Computer Sciences Undergraduate Course Handbook. Information about mathematics modules and course structure is also available online at http://www.ma.hw.ac.uk/maths/ug/

http://www.hw.ac.uk/registry/

2 GENERAL INFORMATION 4

2. General Information

2.1 Lectures and TutorialsClasses in mathematics are either lectures or tutorials. A lecture consists mainly of listening, understanding and making notes of the topics being taught. Tutorials will give you an opportunity to ask questions about material which you have not understood, and to find out how to solve problems which you were unable to do on the examples sheets which are given out in lectures. Classes begin at 9.20 a.m., 10.20 a.m. etc. and are scheduled so that students can change rooms if necessary for the start of the next class.If you have problems after reading your notes and attempting the tutorial examples, please ask for help. You should do this at the tutorial classes or by going to see the lecturer teaching the course. To avoid fruitless searches you can make an appointment at the end of a lecture or a tutorial. Lecturers can also be contacted via the secretaries in the School Office, room 1.24 in the Earl Mountbatten Building, adjacent to the Colin Maclaurin Building, or by e-mail (addresses in Section 10).

2.2 Teaching, Revision and Exam WeeksThe academic year consists of 30 weeks divided into three 10-week terms. Each term students study four modules. In the first and second year there will normally be eight weeks teaching followed by one week of revision with an examination in the last week of term. Some courses (e.g. Languages) have opted for one examination at the end of the academic year. For such courses, a student can choose to exit the module at the end of any term in which case an end of term examination will be set so that the appropriate credit can be obtained. A student wishing to do this should notify their Mentor by week 7 of the module.For third year mathematics modules, there are examinations in December and June. For fourth year mathematics modules, all examinations are held in June.Detailed exam timetables are posted on the notice board outside the School Office (EM1.24) and on the main University notice board in the entrance complex.

2.3 AttendanceIn order to satisfy the course requirements in each module, a satisfactory record of attendance at lectures and tutorials is required and course work must be handed in by the stipulated dates. Students who, in the opinion of the Head of Department, fail to satisfy these requirements for any of the modules for which they are registered may, after due warning, be disallowed from presenting themselves for examination in those modules. In this case they will be deemed to have failed those modules.

Students with medical and other problems which cause them to miss classes for more than a few days, or which are likely to affect their exam performance should inform their mentor as soon as possible. Self-certification is required for periods of incapacity from work of four days or less, and a doctor's certificate is required for longer periods.

Self-certification forms should be collected from the School Office. Self and Doctor's Certificates should be submitted to the School Office, room EM1.24.

2 GENERAL INFORMATION 5

2.4 Notification of Special Circumstances Related to ExaminationsIt is very important that you notify your mentor as soon as possible of any special circumstances, such as illness or the death of a close relative, which could adversely affect your examination performance. In the case of illness, a medical certificate must be supplied. The Examiners will always take such circumstances into account where appropriate, but the later the notification, the less scope there is to do so. In particular, notification should be before the examination diet concerned, and certainly no later than the Examiners’ Meeting (usually at the end of term, or early September in the case of re-sits). Late notification will mean that either no account can be taken, or that formal procedures have to be invoked. In the latter case, final year students will not be permitted to graduate until these procedures have been completed.

2.5 Careers Advisory ServiceThe Careers Advisory Service provides high quality careers guidance, education and information services to Heriot-Watt students and graduates. It delivers these through class based group sessions, a dedicated web site http://www.hw.ac.uk/careers, a well-equipped information room, drop-in query sessions, and individual appointments.The service facilitates the employment of Heriot-Watt students and graduates by advertising vacancies, arranging and publicising employer presentations and an annual Careers Fair.In addition to providing comprehensive information on all aspects of careers, from part-time work to job seeking in the graduate labour market, they also run practical sessions that include Producing an Effective CV, Preparing for Interview and Practice Aptitude Tests. Nick Thow is the Careers Adviser with responsibility for students in Mathematics. You can find the Careers Service on level 1 in the Scott Russell Building. The Service is open 1000 – 1700 Monday to Thursday; Fridays 1000 – 1600.

3 DEPARTMENTAL SUPPORT STRUCTURES 6

3. Mathematics Degrees and their Modular Structure

3.1 Mathematics Degrees OfferedA full listing of the mathematics degrees on offer is given here.

Honours DegreesCode TitleF111 Degree of B.Sc. in MathematicsF141 Degree of B.Sc. in Mathematics with PhysicsF151 Degree of B.Sc. in Mathematics with EconomicsF161 Degree of B.Sc. in Mathematics with EducationF181 Degree of B.Sc. in Mathematics with Computer ScienceF191 Degree of B.Sc. in Mathematics with a European LanguageF1A1 Degree of B.Sc. in Mathematics with StatisticsF1B1 Degree of B.Sc. in Mathematics with FinanceF1C1 Degree of B.Sc. in Mathematics with ManagementF1D1 Degree of B.Sc. in PsychologyF1F1 Degree of B.Sc. in Mathematical, Statistical and Actuarial

Sciences

Ordinary DegreesCode TitleF112 Degree of B.Sc. in General MathematicsF142 Degree of B.Sc. in General Mathematics with PhysicsF152 Degree of B.Sc. in General Mathematics with EconomicsF162 Degree of B.Sc. in General Mathematics with EducationF182 Degree of B.Sc. in General Mathematics with Computer ScienceF1A2 Degree of B.Sc. in General Mathematics with StatisticsF1B2 Degree of B.Sc. in General Mathematics with FinanceF1D2 Degree of B.Sc. in General Mathematics with Psychology

Study for an honours degree normally takes four years and for an ordinary degree three years. Honours degrees are classified into first class, upper second (2.1), lower second (2.2) and third class. An ordinary degree may be awarded at the end of the fourth year of the honours degree if the average mark is below 40% (see Section 9.4). The general structure of each year of the courses is outlined in Sections 6-9 of this guide.

3.2 The Module SystemA credit-based modular system is the common structure of degree courses offered by the University. Normally students study 4 modules per term giving a total of 12 modules per year. This system has a number of advantages for students. Each module is of equal length so that we can ensure that all students have a reasonable workload. By having shorter courses, students are examined on smaller amounts of material more frequently, thus giving them a


better indication of how they are progressing. For some degrees, modules increase the flexibility of course choice.The assessment may be by written examination or by continuous assessment or by a mixture of the two methods. Further information on assessment methods can be found in the year sections in this booklet.Since October 2003 the Heriot-Watt module scheme has been compliant with the Scottish Credit and Qualifications Framework (SCQF). Each Heriot-Watt module is regarded as requiring 100 hours of student effort and is worth 10 SCQF credits. Thus in each year of full-time study a student should accumulate 120 credits. The University has a policy of Accreditation of Prior Learning so that suitably qualified candidates may be accepted for direct entry onto the second or third year of a degree course. Such candidates will be credited, on entry, with the equivalent of one or two years’ module passes (respectively) towards their degree based on their previous attainment. Credit transfers between institutions are now easier since all Scottish universities operate within this common scheme.

3.3 Personal Development PlanningFurther elements of Personal Development Planning (PDP) have been introduced into the Mathematics Programme. The main objectives of PDP are to enable you to

Improve your employability rating and your effectiveness as a career planner Understand more fully what and how you are learning Review, plan and take responsibility for your own development

In particular Year 1 students will periodically complete questionnaires in which they will reflect

on their own progress and development. A Professional Development module (F12MT3) is taught in conjunction with the

Careers Advisory Service to year 2 students. The Careers Advisory Service will make presentations to students in years 1,3 and 4

3.4 Transfer Between Courses and ModulesIf you want to change any of the modules for which you are registered, then see your mentor or the year Director of Studies.Transfer between the various degree courses is possible under certain circumstances; for example, at the beginning of the second and third years, students studying one of the joint degrees may switch to the Degree of B.Sc. in Mathematics. In addition we have a common first year for the joint degrees of Mathematics with Economics, Finance, or Management enabling students to switch between these degrees at any time up to the start of second year. At some stages in your course it might also be possible to transfer to the Department of Combined Studies to study a broader range of subjects.

3.5 Common Assessment and Progression System (CAPS)Assessment at Heriot-Watt is based on the CAPS (Common Assessment and Progression System). Traditionally we used a %-based system with a pass-mark set at 40%. In CAPS your exam result for each module is presented in the form of a letter grade (A - F) where

A= approximately 70% - 100%B = approximately 60% - 70%C = approximately 50% - 60%


D= approximately 40% - 50%

An ‘E’ grade will indicate a mark of somewhat less than 40% and is awarded when you have done enough to be given credit points in the subject but you have not done enough to be allowed to study the same topic at a higher level. Thus an ‘E’ should be considered as a rather unsatisfactory pass; an ‘F’ indicates a fail for which no credit points are given towards your degree. In general in order to be allowed to proceed to the next year of an Honours course you will need to obtain passes in all modules with at least 9 of these passes at ‘D’ or better. It should be stressed, however, that 9 D’s and 3 E’s is very much the minimal level acceptable. If you hope to flourish in the later years of an Honours course you should be aiming for ‘C’ passes or better in all modules in earlier years. More details about progression are given in the information about the various years later in this guide

3.6 Resitting ModulesIf you do not pass a module at the first attempt you are entitled to a further attempt in late August or early September at the diet of resit exams; continuous assessment work carried out during the original course is not counted in the resit mark.

Resits in year 3 exams do not count towards the classification of your Honours degree. In this case the resit allows you to gain the credits required for the award of a degree, but the original exam mark is used to determine the degree classification (see also Section 9.4). There are no resits in year 4 exams.

If you fail modules (or do not obtain a sufficient number of D passes) in earlier years, success in resit examinations is vital for progress. You must be available for such examinations,

i.e., IF YOU DO NOT PERFORM SUFFICIENTLY WELL IN EXAMINATIONS DURING THE YEAR, DO NOT BOOK HOLIDAYS OR TAKE ON WORK COMMITMENTS DURING THE RESIT PERIOD.


4. Departmental Support Structures

4.1 MentorsYou will be allocated a mentor when you arrive in the University and, normally, you will retain the same mentor while you are registered in the Department. The mentor/student relationship serves various functions:At the beginning of the session you register for courses and choose classes with the help of your mentor and, at the same time, you also provide personal information such as term and home addresses and telephone numbers. Your mentor should be informed of any changes to your chosen course or in your personal information so that our records can be kept up to date. Your mentor is usually the person in the department who knows you and your work best and so is well placed to provide job (and other) references when the time comes.If you have personal problems the mentor can often help with a sympathetic chat or by putting you in touch with the appropriate University support service (Medical Centre, Accommodation and Welfare, Students Union or Chaplaincy).It is important that you see your mentor regularly. We have a Departmental requirement that students should see their mentors at the start of each term but more frequent meetings are often appropriate. These meetings serve two purposes. They enable the Department to keep an eye on how you are doing and, just as important, they allow the personal side of the mentor/student relationship to develop. These meetings are particularly important in first year. Mentors will also provide help in the reflection process of Personal Development Planning. The mentor is there to help you - do not hesitate to contact him or her if you need help. (See Section 10.) If you have any difficulty contacting your mentor, the secretaries in the School Office, EM1.24 will be pleased to arrange an appointment.

4.2 Year Directors of StudyFor each of the four years of study the department has appointed a Year Director of Studies who has the responsibility of ensuring the overall smooth functioning of that year. The Directors of Study will take an overview of all the material taught to the year, should be aware of difficulties which are occurring in any of the modules, will ensure that continuous assessment is carried out in an appropriate manner and will deal with the collation of examination marks.

Name Room(CM)

Telephone0131-451-

e-mailZ=ma.hw.ac.uk

1st Year Director of Studies Dr M.A. Youngson S.03 -3241 M.A.Youngson@Z2nd Year Director of Studies Dr B.P. Rynne S.09 -3243 B.P.Rynne@Z3rd Year Director of Studies Prof J. Howie T.10 -3240 J.Howie@Z4th Year Director of Studies Dr A.R. White S.07 -3222 A.R.White@Z

4.3 Staff-Student CommitteeThe Staff-Student Committee is a forum for notification and discussion of various issues affecting undergraduate courses and provides valuable feedback to the Department. Typical issues raised include organisational problems encountered by students (e.g. too many tutors in some tutorials and not enough in others) and discussion of proposed changes in course structures. It is composed of two student and one staff representatives for each year of the mathematics course. Directors of Studies represent the staff, and the class elects the student


representatives. You will be asked to select representatives for this committee early in the first term. The committee meets once each term. Details of the discussion at this Committee are posted along with the other departmental notices on the notice board on the second floor of the Colin Maclaurin Building.

4.4 The Head of DepartmentWe hope that all your problems, both personal and academic, can be resolved with the help of mentors, year Directors of Study and the staff-student committee. If, however, for any reason you find that you cannot resolve a difficulty by these means you should consult with the Head of Department, Professor Des Johnston.

4 COMMUNICATION WITHIN THE DEPARTMENT 11

5. Communication within the Department

5.1 Your Responsibilities So that we can communicate easily with you, and so that we can make sure that you are appropriately registered for modules and examinations it is necessary that you: (i) Notify your mentor about any changes in address or telephone number. (ii) Notify your mentor of any change of course or elective (in fact s/he must arrange for a form to be completed to authorise such a change). (iii) Check your module registration. Around week 3 of each term University Registration will ask you to check that the modules you are studying in that term are those for which you are officially registered - failure to report any errors on the list will lead to a £10 fine by our central administration. (iv) Keep your mentor informed about any illnesses or other problems.

5.2 How We Will Contact You If we have to contact you during term time we will use e-mail and/or the student mailboxes which are situated in the first floor corridor in the Earl Mountbatten Building above the main entrance. These mailboxes are also used for mail delivered to students c/o the department. In some circumstances we will also use your term-time address. In emergencies we will use e-mail and/or telephone. Outside term time, we will write to your home address. As noted in Section 5.1, it is important to let us know of any changes to your term or home addresses as soon as possible.Details of how to contact us by phone, fax, letter and e-mail are given in Section 10.

5.3 Computing FacilitiesAll students are issued with accounts on the PC Caledonia network. E-mail, word-processing, specialist mathematics and statistics packages, and spreadsheet facilities are available on the PC Caledonia network. Computer lab sessions are held in the computer lab (room SRG13 in the Scott Russell Building) and in other labs throughout the university, some of which are open for student use when lab sessions are not in progress. Details of how to access PC Caledonia and the use of e-mail are provided to new students, help is also available online at http://www.hw.ac.uk/cenWWW/help/help.html.You are expected to check your e-mail regularly (at least once a week). General announcements from lecturers and specific announcements from mentors will be sent to you by e-mail, and you are responsible for keeping up to date with them. Students are expected to use the computing facilities in an appropriate and considerate way. Abuse of the facilities is subject to various disciplinary measures, ranging from a ban on access to the facilities to, in extreme and flagrant cases, expulsion from the University. Examples of abuse include monopolising a terminal for non-academic related purposes, running excessively long or inappropriate print jobs, and displaying, circulating or printing offensive material on or from the Internet. Computer games and relay chat are specifically forbidden. Further information on University policy regarding the abuse of computing facilities is given in the MACS Undergraduate Course Handbook and also from the University Computing Centre.

6 FIRST YEAR COURSE INFORMATION 12

6. First Year Course Information

6.1 General Information about First YearDirector of Studies: Dr M.A. Youngson, Room CM S03

Each term you have to study four modules (making a total of 12 modules in the year), two of which will be mathematics courses, one a statistics course and one in a subject outside of mathematics. The two streams of modules in mathematics, algebra and calculus, start a deeper study of two familiar areas of mathematics that will be continued and extended in subsequent years. In the statistics module stream the first module introduces probability theory, the second statistical inference, and the third data analysis together with associated computing, IT and report writing skills.

6.2 First Year Modules

Term Module No. Title Lecturer

1F11MA1F11MB1F71SA1

Algebra 1Calculus 1Statistics 1Option/Joint Degree Subject

N.D. GilbertG.R. McGuireJ. Hansen

2F11MC2F11MD2F71SB2

Algebra 2Calculus 2Statistics 2Option/Joint Degree Subject

M.V. LawsonM.A. YoungsonG Streftaris

3F11ME3F11MF3F71SC3

Algebra 3Math. ModellingStatistics 3Option/Joint Degree Subject

M.V. LawsonA.R. WhiteS. Naire and J. Phillips

Notes

For some degrees the modules that you take are fixed. e.g. For the Mathematics with Physics degree, the joint degree subject in the table above would be Physics.

Other courses such as the Mathematics Degree allow students to choose from a number of options. Students who need to choose three optional modules should pick them from the same group e.g. Moral and Social Philosophy (C01MS1, C01MT2, C01MU3). It may be possible to switch options at the end of the first or second term but the choice then is likely to be restricted.


6.3 First Year Module SummariesA brief outline for each of the mathematics and statistics modules is given below; a detailed syllabus for each module together with information about textbooks you may wish to read or buy will be handed out at the start of the term in which the module is given.

TERM 1

Algebra 1. Sets and functions, binomial expansion, complex numbers, solution of recurrence relations.

Calculus 1. Limits, differential calculus, applications.

Statistics 1. Probability theory: sample spaces and events, conditional probability, independence of events, discrete random variables, expectations and distributions, joint distributions.

TERM 2

Algebra 2. Algebra of linear systems, matrices, determinants, vectors.

Calculus 2. Integration, solution of first order differential equations, applications.

Statistics 2. Continuous distributions, normal distribution, central limit theorem, sampling distributions and confidence intervals.

TERM 3

Algebra 3. An introduction to graph theory.

Mathematical Modelling. Differential equations, modelling through first order equations, kinematics.

Statistics 3. Introduction to statistical computing; data analysis: - descriptive, exploratory and graphical techniques; introduction to inferential techniques; introduction to computer algebra using MAPLE


6.4 Assessment, Exams and Progress to Year 2 All mathematics and statistics modules (except Statistics 3) are structured similarly; 8

weeks of teaching (7 in term 3) are followed by one week of revision, followed by an exam week (two weeks in term 3). The assessment for Statistics 3 is project based.

All first year mathematics modules have a two-hour examination at the end of the term in which they are taught. 10% of the final mark will come from work carried out during the term.

In general, students (apart from those on the Mathematical, Statistical and Actuarial Sciences degree) passing all 12 modules with 9 passes at ‘D’ or better proceed to second year of an Honours course. In addition ‘D’ passes must be obtained to satisfy the prerequisites for the modules you intend to study in year 2. In mathematics and statistics this is quite a minor restriction - all that is required is a ‘D’ pass in one algebra module, in one calculus/mathematical modelling module and in one statistics module. In other subjects studied by students on joint degrees there may be more stringent prerequisite requirements.

Students on the Mathematical, Statistical and Actuarial Sciences degree require 12 passes at ‘D’ or better in order to proceed to the second year of this course.

Students on the General Mathematics and General Mathematics with Another Subject degrees need to pass at least 10 modules out of 12 with 6 passes at ‘D’ or better and obtain D’s in appropriate prerequisites in order to proceed.

Also if a student has not obtained at least an 'E' pass in a module, it is very important that the student takes the resit examination in that module. University Regulations allow Examination Boards to award any student up to two 'discretionary' passes in the course of their careers but only if the student has attempted resit examinations in the modules concerned.

Students who have not passed the required number of modules will receive advice from the First Year Director of Studies.

7 SECOND YEAR COURSE INFORMATION 15

7. Second Year Course Information

7.1 General Information about Second YearDirector of Studies: Dr B.P. Rynne, Room CM S09

Each term you must study a total of four modules. In each term two of these modules are ‘core’ and are studied by all mathematics students. In particular, your knowledge of calculus will be extended by studying functions of several variables in term 1 and by modules in real analysis in terms 2 and 3 in which you will consider in much greater depth than before the basic concepts of calculus. In addition you will learn more about matrices and systems of equations in the term 1 module on linear algebra. In term 2 there is a module on computer-assisted mathematics, and in term 3 there is a professional development module.

The other modules you study in year 2 are dependent upon the degree you are taking. There is a pair of modules on applied mathematics available to most students in terms 2 and 3. If you are on a joint degree one or two modules in each term will be in the appropriate subject area, otherwise you may choose from a list of electives. In the latter case it is important that you take the elective module very seriously; failure in it will lead to a resit examination in August/September before you are allowed into Honours Mathematics in Year 3, even if you have done well in all of your mathematics modules.

Finally a stream of statistics modules that build on the concepts developed in first year is available on many degrees. Two statistics modules are on offer in term 3. Most students will probably choose to study the module F72XB3 (Statistics for the Environment), but if you wish to study statistics in more depth you must choose module F72SF3 (Statistics 6) as this is a prerequisite for more advanced statistics courses.

7.2 Second Year ModulesThe following mathematics modules are available to mathematics students in second year. Individual module choices vary with the degree you have chosen to follow.

Term Module No. Title Lecturer1 F12MG1

F12MH1Multivariable CalculusLinear Algebra

B.P. RynneK.J. Brown

2F12MK2F12ML2F12MR2

Real Analysis 1Computer Assisted MathsMathematics of Motion

B.P. RynneM. Levitin B. J. Schroers

3F12MN3F12MS3F12MT3

Real Analysis 2Oscillations and Waves Professional Development

J. A. SherrattB.J. SchroersN.W. Thow (Careers)


Notes

Direct entrants to second year of the BSc in Mathematics course may choose as their term 1 elective module F12DE1 ‘Mathematics for Direct Entrants’ aimed at bridging the gap between school and second year mathematics.

For some joint degree courses not all of the above listed mathematics modules will be taken.

7.3 Second Year Module SummariesA brief outline for the mathematics and statistics modules is provided below; a detailed syllabus for each module together with information about textbooks you may wish to read or buy will be handed out at the start of the term in which the module is given.

TERM 1

Multivariable Calculus. Calculus for functions of several variables, i.e., partial derivatives and multiple integrals.

Linear Algebra. Solution of systems of equations; vector spaces, linear independence, basis; linear transformations; eigenvalues and eigenvectors.

Statistics 4. Probability theory, continuous random variables; normal, exponential and gamma distributions; multivariate distributions, conditional distributions, independence of variables.

TERM 2

Real Analysis 1. Introduction to analysis by means of a detailed study of the notion of limit; convergence of sequences; continuity of functions.

Computer Assisted Maths. More advanced use of MAPLE as a computer tool in mathematics; symbolic and numerical calculations; graphical representation. Introduction to the MATLAB numerical analysis, programming and graphics package.

Mathematics of Motion. Newton's laws in one dimension, collisions, rocket motion, planetary orbits, introduction to relativity.

Statistics 5. Probability and moment generating functions, weak law of large numbers, central limit theorem, methods of estimation – maximum likelihood, method of moments.


TERM 3

Real Analysis 2. Continuation of Real Analysis 1; applications of analysis to calculus.

Professional Development. Careers in mathematics, report writing and presentational skills.

Oscillations and Waves. Simple harmonic motion, damped and forced oscillations, coupled oscillators, examples and general features of wave motion. Statistics 6. Statistical inference, confidence intervals, hypothesis testing, Neyman-Pearson Lemma, likelihood ratio tests, general linear model (including ANOVA).

Statistics for the Environment. Statistical inference and regression, design and analysis of environmental studies - case studies.

7.4 Assessment, Exams and Progress to Year 3

The Computer Assisted Mathematics module (F12ML2), and Professional Development module (F12MT3) are continuously assessed.

All other second year mathematics modules have a two-hour examination at the end of the term in which they are taught. 15% of the final mark will come from work carried out during the term.

In general, (apart from those on the Mathematical, Statistical and Actuarial Sciences degree) students passing all 12 modules with 9 passes at ‘D’ or better proceed to the third year of an Honours course. In addition ‘D’ passes must be obtained to satisfy the prerequisites for the modules you intend to study in year 3. Usually in mathematics these prerequisites are not very stringent - D passes in Multivariable Calculus, Linear Algebra and in one of the modules in Real Analysis would satisfy the requirements for the maths options on offer in year 3. In other subjects studied by students on joint degrees there may be more stringent prerequisite requirements.

Students on the Mathematical, Statistical and Actuarial Sciences degree require 12 passes at ‘D’ or better in order to proceed to the third year of this course.

Students on the General Mathematics and General Mathematics with Another Subject degrees need to have passed at least 22 modules in total over their first two years with 6 passes at ‘D’ or better in year 2 and obtain D’s in appropriate prerequisites in order to proceed.

The options for students who have not passed the required number of modules are complicated; they should contact the Second Year Director of Studies for advice.

8 THIRD YEAR COURSE INFORMATION 18

8. Third Year Course Information

8.1 General Information about Third YearDirector of Studies: Professor J. Howie, Room CM T10

The structure of mathematics modules in year three is different from the previous two years, although you continue to study four modules in each term. In the first term, each module has eight weeks of teaching then one week of revision followed by an exam week. In terms 2 and 3 you study double modules that are assessed by a three-hour examination at the end of term 3. As an example, the second term module Algebra and Analysis 1 and the third term module Algebra and Analysis 2 have a single examination at the end of term 3.

It is important to note that the Honours degree assessment is based on examinations held in both the third and fourth years (See Section 9.4 on Classification of Honours Degrees in this guide for more details). All the mathematics modules in third year count towards the degree assessment with a weighting of 40% on third year results and 60% on fourth year. Students on the Mathematics with a European Language degree spend their third year studying abroad, and so there are special arrangements for them.

8.2 Third Year ModulesIndividual module choices vary with the degree you have decided to follow, but the mathematics courses will be chosen from the following modules.

Year 3 Honours Term 1Module No. Title Lecturer

F13YA1 Complex Analysis M.A. YoungsonF13YC1 Introductory Numerical Analysis G.R. McGuireF13YQ1 Asymptotic Analysis S.J. MalhamF13YR1 Abstract Algebra J. HowieF13YS1 Vector Analysis R. Szabo

Year 3 Honours Terms 2 & 3Module No. Title Lecturer

F13YE2 & F13YK3 Algebra and Analysis 1&2 J. HowieF13YG2 & F13YM3 Numerical Analysis 1&2 G.J. LordF13YH2 & F13YN3 Discrete Mathematics 1&2 N.D. GilbertF13YJ2 & F13YP3 Applied Mathematics 1&2 A.A. LaceyF13YT2 & F13YU3 Ordinary Differential Equations 1

& 2R.A. Weston


Honours DegreesIn general, students on joint degrees take three mathematics and one other module each term and those on the B.Sc. in Mathematics Degree take four mathematics modules from those which have been listed above. In term 1 the modules in Abstract Analysis and Vector Analysis are compulsory as are the modules in Algebra and Analysis 1&2 and Ordinary Differential Equations 1&2 in terms 2 and 3. Ordinary DegreesIndividual module choices vary with the degree you have decided to follow, but the mathematics courses are chosen from those listed above. Typically students take three mathematics modules in term 1, and at least two in terms 2 and 3. Students doing a joint degree have one module per term specified in that subject.The remaining module slots (recall that you study four per term) give you a chance to broaden your knowledge by studying any course for which you have the entry qualification. These include any of the options available to first year students, IT courses and history of science. Discuss this choice with the Third Year Director of Studies.Past experience suggests that the Algebra and Analysis 1&2 and the Applied Mathematics 1&2 modules are the most demanding of the year 3 courses and so students registered for Ordinary Degrees should think carefully before registering for these modules.

8.3 Third Year Module SummariesA brief outline for each of these mathematics modules is given below; a detailed syllabus for each module together with information about textbooks you may wish to read or buy will be handed out at the start of the term in which the module is given.

TERM 1

Abstract Algebra. Group axioms, subgroups, permutation groups, homomorphisms, Lagrange’s theorem, first isomorphism theorem.

Vector Analysis. Vector algebra and geometry, vector differentiation, gradient curl and divergence, vector integration, divergence theorem, Stokes’ theorem.

Complex Analysis. Analytic functions, Cauchy theorem and integral formula, Taylor series, contour integration and the calculus of residues.

Introductory Numerical Analysis. Introduction to MATLAB, numerical solution of equations, numerical integration, errors and computer arithmetic.

Asymptotic Analysis. Asymptotic methods for solving algebraic equations, approximate evaluations of integrals and solutions of differential equations, introductory modelling.

TERMS 2 and 3

Algebra and Analysis 1 & 2. Analysis: metric spaces, convergence, continuity, compactness, completeness, contraction mapping theorem. Algebra: Rings, integral domains, fields, ideals, unique factorisation domains, Euclidean domains.


Ordinary Differential Equations 1 & 2. Linear systems of ODEs, Laplace transforms, boundary value problems, eigenvalues and eigenfunctions, phase planes, nonlinear systems.

Numerical Analysis 1 & 2. Numerical linear algebra, advanced numerical integration, interpolation. Practical examples using MATLAB.

Discrete Mathematics 1 & 2. Counting arguments, distribution problems, graph theory.

Applied Mathematics 1 & 2. Modelling, derivation of partial differential equations, elementary fluid dynamics, special methods of solution of PDEs and fluids problems.

8.4 Assessment and Exams The third year mathematics courses are examined at the end of term 1 (2 hour exam) and

term 3 (3 hour exam). The term 3 exams cover material taught in terms 2 and 3.

The final mark for each course includes 15% from work done during the course (20% in the case of Numerical Analysis modules).

Students are eligible for an Ordinary Core/Joint degree if they pass 32 or more modules out of 36 (recall that there are 12 modules per year), and have attended at least 3 modules outwith the mathematics department in year 3.

Students who reach the end of third year without 32 module passes out of 36 can resit modules to gain enough passes to obtain an Ordinary degree.

Students registered for an Honours degree may choose to leave with an Ordinary degree at the end of third year if they have passed sufficiently many modules.

We review progress of honours degree students after the first term exams in third year, and may advise some students to change to the ordinary degree course then. However, failing a module in December does not necessarily mean that you cannot get an Honours degree.

For Honours maths students, all third level modules taken count towards their final degree assessment. (See Section 9.4 for more details.)

You will be allowed to proceed to the final year of the Honours course if 1. You obtain passes in all year 3 modules and satisfy the prerequisites for all the

modules you will study in year 4. 2. At least 9 of these passes are at ‘D’ or better.3. Your overall average mark is sufficiently good.

If, at the end of the year you have not passed the required number of modules, please see the Third Year Director of Studies for advice.

9 FOURTH YEAR COURSE INFORMATION 21

9. Fourth Year Course Information

9.1 General Information about Fourth YearDirector of Studies: Dr A.R. White, Room CM S07

In fourth year we offer a choice from 12 half-year courses: Pure Mathematics 1 and 2, Optimization, Partial Differential Equations, Numerical Analysis 3 and 4, Applied Mathematics 3 and 4, and Special Topics 1, 2, 4 and 5. Each half-course runs over the full ten weeks of term 1 or term 2. Students on the degree of BSc in Mathematics also do a supervised project over terms 2 and 3.With the exception of the project, or in some degrees where a level 3 module or a module from another department is taken in term 3, the third term is left free for revision in preparation for the examinations at the end of term. The module system plays little part in our final year, but for administrative reasons, each half-course is regarded as a module, and you should register for the appropriate number of ‘revision’ modules in term 3.

9.2 Fourth Year Courses

Year 4 Honours Mathematics Half-coursesModule No. Title Lecturer

F14ZA1 Pure Maths 1 (Automata and formal languages) M.V. LawsonF14ZC1 Numerical Analysis 3 (Numerical solution of ODEs) D.B. DuncanF14ZD1 Applied Maths 3 (Quantum computing) B.J. SchroersF14ZE1 Special Topics 1 (Functional analysis) M.A. YoungsonF14ZR1 Special Topics 4 (Mathematical ecology and epidemiology A.R. WhiteF14ZU1 Optimization J.C. EilbeckF14ZF2 Pure Maths 2 (Finite groups) A.R. PrinceF14ZH2 Numerical Analysis 4 (Numerical solution of PDEs) J.C. EilbeckF14ZJ2 Applied Maths 4 (Fractals and Chaos) B.P RynneF14ZK2 Special Topics 2 (Differential geometry) D.E.R. ClarkF14ZS2 Special Topics 5 (Mathematical Biology and Medicine) K.J. PainterF14ZV2 Partial Differential Equations S. Kuksin

Year 4 Honours Mathematics Revision Modules (Term 3)Module No. Title Revision for

F14ZL3 Pure Mathematics 3 F14ZA1/ZF2F14ZM3 Optimization and PDE’s 3 F14ZU1/ZV2F14ZN3 Numerical Analysis 5 F14ZC1/ZH2F14ZP3 Applied Mathematics 5 F14ZD1/ZJ2F14ZQ3 Special Topics 3 F14ZE1/ZK2F14ZT3 Special Topics 6 F14ZR1/ZS2


Course F111 (B.Sc. Mathematics)Take four from the above list in term 1, three in term 2, and a project (F14PA2/F14PB3). Projects will be allocated during term 1, under the overall supervision of Prof. A.A. Lacey. In addition, you should register for three third term revision modules appropriate to your other choices.

Course F191 (B.Sc. Mathematics with a European Language)Take an appropriate combination of level 3 and level 4 modules. A maximum of one 3-module stream at level 3 is permitted.

All other B.Sc. degrees in Mathematics with an External SubjectTake three of the above half-courses in term 1, three in term 2, three revision modules in term 3, and one approved course (or stream of three modules) in the external subject.

9.3 ExaminationsEach half-course will have a 2-hour examination paper in June. The paper will contain four questions, of which the candidate is expected to answer three. Each linked pair of half-courses will have a synoptic 3-hour examination in June consisting of the union of the two single module papers (8 questions in all). Candidates will be expected to answer 5 questions with a maximum of 3 from either part. The module code for the synoptic examination will be that of the appropriate third term revision module. All three examinations will start simultaneously.Thus, for example, a candidate taking both Special Topics 4 and Special Topics 5 will sit a 3-hour examination called F14ZT3 Special Topics 6, while a candidate taking only one of these will sit a 2-hour examination called F14ZR1 Special Topics 4 or F14ZS2 Special Topics 5.

Students may choose two single courses which do not form a linked pair. In this case they must register for the revision module in term 3 corresponding to the single course studied in term 2.

For example, a student studying F14ZA1 Pure Maths 1 in term 1 followed by F14ZJ2 Applied Maths 4 in term 2 should register for revision module F14ZP3 Applied Maths 5 in term 3. The mark awarded in F14ZP3 will be the average of the marks awarded for F14ZA1 and F14ZJ2.

9.4 Classification of Honours Degrees With the exception of students on the degrees of Mathematics with a European Language,

Mathematics with Finance and Mathematics with Management, the Honours degree assessment is based on examinations held in both the third and fourth years, weighted 60% on the fourth year results and 40% on the third year.

For Mathematics with Finance and Mathematics with Management, the algorithm is slightly different. The level 1 modules that you take in third year are not qualifying modules, i.e. they do not count towards your degree classification. The formula is

final mark = (T+2F)/3 where T and F are the average marks over the nine qualifying level 3 modules and the twelve level 4 modules respectively.


The assessment for the degree of mathematics with a European Language is based entirely on courses taken in the fourth year, together with an oral examination in your European Language, which is taken in October of year 4. The modules taken in fourth year are equally weighted, irrespective of whether they are level 3 or level 4. The oral examination counts 20% towards the final degree classification. Thus the formula is

final mark = (O+4F)/5 where O is the oral examination mark and F is the average mark over all modules taken in final year.

A board of examiners including the Head of Department, external examiners covering Pure Maths, Applied Maths and Numerical Analysis, and the lecturers who taught the courses, carries out assessment. The external examiners ensure that degrees awarded are of comparable standard to those given by other universities. The examiners also make sure that a reasonable standard applies to the individual examinations and may occasionally normalise results to achieve this outcome. The table below shows the average marks per paper used by the examiners as a starting point in the degree classification process.

Average Mark Degree Classification 70 160-69 2.150-59 2.240-49 3

Below 40 Ordinary

There is no quota system on the number of degrees of different classes awarded. It is not impossible (although highly unlikely) for everyone to get a 1st class degree, and similarly for everyone to get an Ordinary degree.

10 STAFF AND HOW TO CONTACT THEM 24

10. Staff and How to Contact Them

Mathematics DepartmentName Room e-mail :

Z=ma.hw.ac.ukProf K J Brown S.05 K.J.Brown@Z

Prof J Carr G.03 J.Carr@ZDr D E R Clark T.18 D.E.R.Clark@Z

Prof D B Duncan S.14 D.B.Duncan@ZProf J C Eilbeck T.05 J.C.Eilbeck@Z Dr N D Gilbert T.15 N.D.Gilbert@ZProf J Howie T.10 J.Howie@Z

Prof D A Johnston F.05 D.A.Johnston@ZProf S B Kuksin T.03 S.B.Kuksin@ZProf A A Lacey T.07 A.A.Lacey@ZDr M V Lawson S.21 M.V.Lawson@Z

Dr M Levitin S.13 M.Levitin@ZDr G J Lord S.12 G.J.Lord@Z

Dr S J Malham T.21 S.J.Malham@ZDr G R McGuire G.10 G.R.McGuire@Z

Dr S Naire T.16 S.Naire@ZDr J Niesen G.02 jitse@Z

Dr K J Painter T.08 K.J.Painter@ZDr A R Prince T.14 A.R.Prince@ZDr B P Rynne S.09 B.P.Rynne@Z

Dr B J Schroers T.11 B.J.Schroers@ZProf J A Sherratt S.04 J.A.Sherratt@ZProf R J Szabo T.02 R.J.Szabo@ZDr R A Weston T.27 R.A.Weston@Z

Dr A R White S.07 A.R.White@ZDr M A Youngson S.03 M.A.Youngson@Z

The following members of the School also teach modules in the first two years of our degree programmes

Name RoomProf G Gibson F.04Dr J Hansen T.22Mr J Phillips S.06

Dr G Streftaris S.15Dr S Zachary T.12

Photographs of staff are displayed in the crush area, level 1, Earl Mountbatten Building.

e-mail: An easy way to contact most mathematics staff is by e-mail.Telephone & Fax: All staff, 0131-451-3221 (0131-451-3249 fax).Post: Department of Mathematics, School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, EH14 4AS.In Person: Staff can be contacted through their offices or via the School Office (EM1.24).WWW: A great deal of information about the Department of Mathematics, its staff and postgraduate students can be found on the web at http://www.ma.hw.ac.uk/maths.html

11 COURSE STRUCTURES FOR ALL MATHEMATICS COURSES 25

11. Course Structures for all Mathematics Courses

The course structures for all of the departmental Honours and Ordinary degree programmes are given in this section. Further information about individual mathematics and statistics modules can be found in Sections 6 to 9.

The programmes are listed in the following order:

Mathematics Mathematics with Physics Mathematics with Economics Mathematics with Education Mathematics with Computer Science Mathematics with a European Language Mathematics with Statistics Mathematics with Finance Mathematics with Management Mathematics with Psychology Mathematical, Statistical and Actuarial Sciences


11.1 B.Sc. in Mathematics (Hons.) (F111) / General Maths (Ord.) (F112)

YEAR 1

Students should choose three optional modules from appendix A. These modules should be chosen from the same group e.g. Moral and Social Philosophy (C01MS1, C01MT2, C01MU3). It may be possible to switch options at the end of the first or second term but the choice then is likely to be restricted.

TERM 1 TERM 2 TERM 3F11MA - ALGEBRA 1sets, functions, complex numbers,recurrence relations

F11MC - ALGEBRA 2linear systems, matrices,determinants, vectors

F11ME - ALGEBRA 3reasoning and proof,graph theory

F11MB - CALCULUS 1limits, differential calculus,applications

F11MD - CALCULUS 2integration,1st order ODE’s,applications

F11MF - MATH. MODELLING2nd order ODE’s, modelling,introductory mechanics

F71SA - STATISTICS 1elementary probability, discrete random variables

F71SB - STATISTICS 2continuous distributions, normal distribution, statistical inference

F71SC - STATISTICS 3statistical computing, data analysis, introduction to MAPLE

OPTION (see appendix A) OPTION (see appendix A) OPTION (see appendix A)

YEAR 2

Students taking the ordinary degree choose three or more modules from the list below in each of terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F12MG - MULTIVARIABLE CALCULUSfunctions of several variables

F12MK - REAL ANALYSIS 1limits, convergence of sequences,continuity of functions

F12MN - REAL ANALYSIS 2applications of analysis to calculus

F12MH - LINEAR ALGEBRAsystems of equations, vector spaces, eigenvalues/vectors

F12ML - COMPUTER ASSISTED MATHSuse of MAPLE and MATLAB

F12MT - PROFESSIONAL DEVELOPMENTcareers in mathematics, report-writing and presentational skills

OPTION (see appendix A) F12MR - MATHEMATICS OF MOTIONNewton’s laws, motion, relativity

F12MS - OSCILLATIONS AND WAVESoscillators, energy, wave motion

F72SD - STATISTICS 4continuous random variables, multivariate and continuous distributions

F72SE - STATISTICS 5probability and moment generating functions, central limit theorem, methods of estimation

F72XB - STATISTICS FOR THE ENVIRONMENT* statistical inference, analysis of environmental studies ORF72SF - STATISTICS 6*statistical inference, hypothesis testing, likelihood ratio tests, general linear model

(*) module F72SF3 is a prerequisite for later statistics courses


YEAR 3

Honours degree students must choose Abstract Algebra, Vector Analysis, Complex Analysis and one other module from the list below in Term 1 and Algebra and Analysis, Ordinary Differential Equations and two other modules from the list below in each of Terms 2 and 3.Ordinary degree students must choose Abstract Algebra and Vector Analysis plus at least one other module from the list below in term 1 and Ordinary Differential Equations plus at least two other modules from the list below in terms 2 and 3. The remaining slots, to make a total of four modules in each term, are chosen from among the options given in appendix A.

TERM 1 TERMS 2 & 3F13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures

F13YE & F13YK - ALGEBRA AND ANALYSIS 1 & 2metric spaces, convergence, continuity, compactness, etc. rings, integral domains, fields, ideals

F13YS - VECTOR ANALYSISvector differential calculus, line and surface integrals

F13YT &F13YU - ORDINARY DIFFERENTIAL EQUATIONS 1 & 2 solving ODE’s by series/Laplace transforms, systems of ODE’s, phase planes

F13YC- INTRODUCTORY NUMERICAL ANALYSISnumerical integration, errors

F13YG & F13YM - NUMERICAL ANALYSIS 1 & 2numerical linear algebra, advanced numerical integration

F13YA - COMPLEX ANALYSISanalytic functions, Cauchy theorem,Taylor series, contour integration

F13YH & F13YN - DISCRETE MATHEMATICS 1 & 2counting arguments, distribution problems, graph theory

F13YQ - ASYMPTOTIC ANALYSISasymptotic methods for solving equations, approximate evaluation of integrals

F13YJ & F13YP - APPLIED MATHEMATICS 1 & 2modelling, derivation of PDE’s, elementary fluid dynamics, special methods of solution of PDE and fluid problems

YEAR 4

Choose any four modules in term 1, and the project plus any other three modules in term 2.

TERM 1 TERM 2 TERM 3 (Revision)

F14ZA - PURE MATHEMATICS 1automata and formal languages

F14ZF - PURE MATHEMATICS 2finite groups

F14ZL Pure Mathematics 3

F14ZU - OPTIMISATIONLagrange multipliers, linear programming

F14ZV – PDE’spartial differential equations

F14ZM PDE’s and Optimisation 3

F14ZC - NUMERICAL ANALYSIS 3numerical solution of ODE’s

F14ZH - NUMERICAL ANALYSIS 4numerical solution of PDE’s

F14ZN Numerical Analysis 5

F14ZD - APPLIED MATHS 3quantum computing

F14ZJ - APPLIED MATHS 4fractals and chaos

F14ZP Applied Maths 5

F14ZE - SPECIAL TOPICS 1functional analysis

F14ZK - SPECIAL TOPICS 2differential geometry

F14ZQ Special Topics 3

F14ZR - SPECIAL TOPICS 4mathematical ecology and epidemiology

F14ZS - SPECIAL TOPICS 5mathematical biology and medicine

F14ZTSpecial Topics 6


11.2 B.Sc. in Mathematics (Hons.) (F141) / General Maths (Ord.) (F142) with Physics

Course Director: Dr R.A. Weston, Room CM T.27

YEAR 1

TERM 1 TERM 2 TERM 3B21PA - PHYSICS 1mechanics

B21PB - PHYSICS 2electricity and magnetism

B21PC - PHYSICS 3Waves

F11MA - ALGEBRA 1sets, functions, complex numbers,recurrence relations









YEAR 2

Students taking the ordinary degree choose the physics module plus at least two other maths modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3B22AS - ASTROPHYSICS B22PH - INTRODUCTION TO

PHOTONICSB22EV - ENVIRONMENTAL PHYSICSatmospheric physics, energy studies, remote sensing

F12MG - MULTIVARIABLE CALCULUSfunctions of several variables









YEAR 3

Both Honours and Ordinary students must choose the physics options B23EM, B23QT and B23SD. Both must also take Abstract Algebra and Vector Analysis modules in Term 1.

Honours students must also choose the Algebra and Analysis 1&2 and Ordinary Differential Equations 1&2 modules in Terms 2 and 3 modules plus one other maths module listed below in each term.

Ordinary degree students may choose one other maths module from the list below in term 1 and must choose at least two further modules from the list below in each of Terms 2 and 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A.

TERM 1 TERMS 2 & 3B23EM - ELECTROMAGNETISM Term 2: B23QT - QUANTUM THEORY

Term 3: B23SD - SOLID STATEF13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures







F13YH & F13YN - DISCRETE MATHEMATICS 1 & 2Counting arguments, distribution problems, graph theory

YEAR 4

Students should choose the physics module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3B24QS - SOLID STATE AND QUANTUM THEORY

B24ES – ELECTROMAGNETISM AND LASER PHYSICS

F14ZZ -REVISION





F14ZV - PDE’spartial differential equations















11.3 B.Sc. in Mathematics (Hons.) (F151) / General Maths (Ord.) (F152) with Economics

Course Director: Dr A.R. Prince, Room CM T.14

YEAR 1

TERM 1 TERM 2 TERM 3C21OA MICROECONOMICS 1resource allocation, supply and demand, cost theory

C21OB - MACROECONOMICS 1national income accounting, aggregate demand and supply, multiplier theory

C31OC - INTRODUCTION TO FINANCEinvestment appraisal, financial markets and institutions, introduction to taxation










YEAR 2

TERM 1 TERM 2 TERM 3C22IE - INTERMEDIATE ECONOMICS 1

C22IF - INTERMEDIATE ECONOMICS 2

C22IG - INTERMEDIATE ECONOMICS 3









C21OC – INTERNATIONAL ECONOMICS


YEAR 3

Both Honours and Ordinary students must choose the economics modules which may vary from year to year and, in Term 1, Abstract Algebra and Vector Analysis.

Honours students must also choose the Algebra and Analysis 1&2 and Ordinary Differential Equations 1&2 modules in Terms 2 and 3 modules plus one other maths module listed below in each term.

Ordinary degree students may choose one other maths module from the list below in Term 1 and must choose at least two further modules from the list below in each of Terms 2 and 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A.

TERM 1 TERMS 2 & 3C2XXX - ECONOMICS MODULE Term 2: C2XXX - ECONOMICS MODULE

Term 3: C2XXX – ECONOMICS MODULEF13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures







F13YH & F13YN - DISCRETE MATHEMATICS 1 & 2Counting arguments, distribution problems, graph theory

YEAR 4

Students choose the economics module plus any other three listed below in each term.TERM 1 TERM 2 TERM 3C2XXX – ECONOMICS MODULE C2XXX - ECONOMICS MODULE C2XXX–

Ec modF14ZA - PURE MATHEMATICS 1automata and formal languages















The economics modules studied in years 3 and 4 may vary from year to year.


11.4 B.Sc. in Mathematics (Hons.) (F161) / General Maths (Ord.) (F162) with Education

Course Director: Prof K.J. Brown, Room CM S.05

YEAR 1

TERM 1 TERM 2 TERM 3F11XA – HUMAN RELATIONSHIPS IN EDUCATIONAL SETTINGSlife in classrooms, gender, ethnicity, culture and class

F11XB - CURRICULUM, SOCIETY AND SCHOOLS 1pupils, teachers, schools, basic characteristics of British Secondary Education, changing role of teacher

F11XC – CURRICULUM, SOCIETY AND SCHOOLS 2National Curriculum, children with learning difficulties, the teacher and the law, health education






F11MF - MATH. MODELLING2nd order ODE’s, modelling,Introductory mechanics




YEAR 2

Students taking the ordinary degree choose the education module plus at least two other maths from the list below in each of Terms 2 & 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F12XG ICT FOR SECONDARY EDUCATION Developing skills in ICT; initial observation in classrooms.

F12XH & F12XI NATURE AND GOALS OF TEACHING 1 & 2 Developing basic classroom skills for teaching mathematics, considering general issues on how to become a good teacher







F21XC - IT FUNDAMENTALS IBasic word-processing, spreadsheets and databases

F12MR - MATHEMATICS OF MOTIONNewton’s laws, motion, relativity



YEAR 3Both Honours and Ordinary students must choose the Education modules and, in Term 1, Abstract Algebra and Vector Analysis.

Honours students must also choose the Algebra and Analysis 1&2 and Ordinary Differential Equations 1&2 modules in terms 2 and 3 plus one other maths module listed below in each term.

Ordinary degree students may choose one other maths module from the list below in term 1 and must choose at least two further modules from the list below in each of terms 2 and 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A in consultation with the third year director of studies.

TERM 1 TERMS 2 & 3F13XA - PLANNING IMPLEMENTING AND EVALUATING UNITS OF WORKClassroom management and skills

F13XB & F13XC - PUPIL SUPPORT 1&2Pupil support, problem solving in the teaching of mathematics

F13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures








YEAR 4Students should choose the education project plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3F14XA, F14XB and F14XC - EDUCATION Education projectF14ZA - PURE MATHEMATICS 1automata and formal languages


















NOTE: In order to obtain a teaching certificate enabling students to teach in Scotland and England they must spend a further term undergoing a period of teaching practice under the auspices of Stirling University.


11.5 B.Sc. in Mathematics (Hons.) (F181) / General Maths (Ord.) (F182) with Computer Science

Course Director: Dr D.B. Duncan, Room CM S.14

YEAR 1

TERM 1 TERM 2 TERM 3F21RA - RAPID APPLICATIONS DEVELOPMENT

F21OA - OBJECT ORIENTED PROGRAMMING AND SOFTWARE ENGINEERING 1

F21OB - OBJECT ORIENTED PROGRAMMING AND SOFTWARE ENGINEERING 2










YEAR 2Students taking the ordinary degree choose the computer science module plus at least two other maths modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F22OC - OBJECT ORIENTED PROGRAMMING AND SOFTWARE ENGINEERING 3

F22AO -DATA STRUCTURES AND ALGORITHMS 1

F22AQ - DATA STRUCTURES AND ALGORITHMS 2







OPTION (see appendix A)ORF72SD - STATISTICS 4continuous random variables, multivariate and continuous distributions

F12MR - MATHEMATICS OF MOTIONNewton’s laws, motion, relativityORF72SE - STATISTICS 5probability and moment generating functions, central limit theorem, methods of estimation

F12MS - OSCILLATIONS AND WAVESoscillators, energy, wave motionORF72XB - STATISTICS FOR THE ENVIRONMENTstatistical inference, analysis of environmental studies ORF72SF - STATISTICS 6*statistical inference, hypothesis testing, likelihood ratio tests, general linear model

(*) module F72SF3 is a prerequisite for later statistics courses


YEAR 3

Both Honours and Ordinary students must choose the Computer Science modules and, in Term 1, Abstract Algebra and Vector Analysis.

Honours students must also choose the Algebra and Analysis 1&2 and Ordinary Differential Equations 1&2 modules in Terms 2 and 3 plus one other maths module listed below in each term.

Ordinary degree students may choose one other maths module from the list below in Term 1 and must choose at least two further modules from the list below in each of Terms 2 and 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 3rd year director of studies.

TERM 1 TERMS 2 & 3F23AF - DATABASE SYSTEMS Term 2 : F23HE - HUMAN COMPUTER INTERACTION

Term 3 : F23AE - COMPUTER GRAPHICSF13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures








YEAR 4

Students choose the computer science module plus any other three from the list below in each term.

TERM 1 TERM 2 TERM 3F24BE - GRAPHICS AND ANIMATION F24BF - ROBOTICS AND AUTOMATION F14ZZ3 -

REVISIONF14ZA - PURE MATHEMATICS 1automata and formal languages
















11.6 B.Sc. in Mathematics (Hons.) (F191) with a European Language

Course Director: Dr M.A. Youngson, Room CM S.03

YEAR 1

For students studying French the language options will be C42FX1, C42FY2 and C42FZ3. For students studying German the language options will be C41LG1, C41MG2 and C41NG3. For students studying Spanish the language options will be C41LE1, C41ME2 and C41NE3.

TERM 1 TERM 2 TERM 3LANGUAGE(see above)

LANGUAGE(see above)

LANGUAGE(see above)










YEAR 2

For students studying French the language options will be C43FX1, C43FY2 and C43FZ3. For students studying German the language options will be C42GI1, C42GJ2 and C42GK3. For students studying Spanish the language options will be C42SI1, C42SJ2 and C42SK3.

TERM 1 TERM 2 TERM 3LANGUAGE(see above)

LANGUAGE(see above)

LANGUAGE(see above)










YEAR 3

Students must attain a satisfactory standard in an approved course of study in mathematics in a university whose working language is French, German or Spanish.

YEAR 4

Students choose four modules in each term from the list below plus Year 3 modules from the mathematics degree (see earlier). Only a single 3-module stream at level 3 is permitted and should be chosen in consultation with the Course Director.

TERM 1 TERM 2 TERM 3F14ZA - PURE MATHEMATICS 1automata and formal languages



















11.7 B.Sc. in Mathematics (Hons.) (F1A1) / General Maths (Ord.) (F1A2) with Statistics

Course Director: Dr M. Levitin, Room CM S.13

YEAR 1

Students should choose three optional modules from appendix A. These modules should be chosen from the same group e.g. Moral and Social Philosophy (C21MS1, C21MT2, C21MU3). It may be possible to switch options at the end of the first or second term but the choice then is likely to be restricted.

TERM 1 TERM 2 TERM 3F71SA - STATISTICS 1elementary probability, discrete random variables









OPTION (see appendix A) OPTION (see appendix A) OPTION (see appendix A)

YEAR 2

Students taking the ordinary degree choose the statistics module plus at least two other maths modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F72SD - STATISTICS 4continuous random variables, multivariate and continuous distributions


F72SF - STATISTICS 6statistical inference, hypothesis testing, likelihood ratio tests, general linear model










YEAR 3

Both Honours and Ordinary students must choose the Statistics modules and, in Term 1, Abstract Algebra and Vector Analysis.



TERM 1 TERMS 2 & 3F73SG – STATISTICAL INFERENCE Term 2 : F73DA - INTRODUCTORY DATA ANALYSIS

Term 3 : F23DB – CATEGORICAL DATA ANALYSISF13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures








YEAR 4Students choose the statistics module (in Term 1 either F14ZU or F74SQ) plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3F14ZU – OPTIMISATIONOrF74SQ – DESIGN AND ANALYSIS OF EXPERIMENTS

F74ST – TIME SERIES F74SW –STATISTICAL REVISION



















11.8 B.Sc. in Mathematics (Hons.) (F1B1) / General Maths (Ord.) (F1B2) with Finance

Course Director Dr G J Lord, Room CM S.12

YEAR 1

TERM 1 TERM 2 TERM 3C21OA MICROECONOMICS 1resource allocation, supply and demand, cost theory







F11MD - CALCULUS 2integration, 1st order ODE’s,applications





YEAR 2

TERM 1 TERM 2 TERM 3C32PT - INVESTMENT AND PORTFOLIO THEORYutility theory, modern portfolio theory, stock market indices, technical analysis of shares

C32CF - CORPORATE FINANCEmanagement objectives, capital structure decisions, dividend policy

C32RC - STRUCTURE AND REGULATION OF CAPITAL MARKETSregulation, flotation, trading mechanisms

C31OA - FINANCIAL ACCOUNTING

C31OB - MANAGEMENT ACOUNTING

C21OC - INTERNATIONAL ECONOMICSOR F72XB3 - STATISTICS FOR THE ENVIRONMENTstatistical inference, analysis of environmental studies








YEAR 3

Both Honours and Ordinary students must choose the Finance modules and, and in Term 1, Abstract Algebra and Vector Analysis.



TERM 1 TERMS 2 & 3C33II - INTERNATIONAL FINANCIAL INVESTMENT

C33FD - FINANCIAL DERIVATIVES

C33IM - INTERNATIONAL FINANCIAL MARKETS









YEAR 4

Students must choose the finance module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3C34SY - SECURITY ANALYSIS AND DERIVATIVE APPLICATIONS

C34SX – SECURITIES MARKETS C34SZ - SECURITY TOPICS AND ISSUES (private study)

















11.9 B.Sc. in Mathematics with Management (Hons.) (F1C1)

Course Director: Dr A. White, Room CM S.07

YEAR 1

TERM 1 TERM 2 TERM 3C21OA - MICROECONOMICS 1resource allocation, supply and demand, cost theory












YEAR 2

TERM 1 TERM 2 TERM 3C11MA – MANAGEMENT 1 C11MB – MANAGEMENT 2 C11MC – MANAGEMENT 3

C31OA - FINANCIAL ACCOUNTING

C31OB - MANAGEMENT ACCOUNTING

C21OC - INTERNATIONAL ECONOMICSOR F72XB - STATISTICS FOR THE ENVIRONMENTstatistical inference, analysis of environmental studies







The second year of the course provides the opportunity of acquiring a good knowledge of the foundations of the management sciences by offering 6 level 1 modules in this area. As a result, because of SCQF requirements, students on the course are not eligible for the award of a Diploma in Higher Education on the successful completion of year 2 as a Diploma requires a total of 24 module passes at least 9 of which are level 2.


YEAR 3

TERM 1 TERMS 2 & 3F13YR - ABSTRACT ALGEBRAgroup theory, Lagrange’s Theorem, quotient structures







C32CF - CORPORATE FINANCE

C12OP – OPERATIONS MANAGEMENT 1

YEAR 4

Students must choose the management module plus any other three listed below in each term.

TERM 1 TERM 2 TERM 3C14PU - PURCHASING C14BU – LOGISTICS AND SUPPLY

CHAIN MANAGEMENTC14BV - LOGISTICS AND SUPPLY CHAIN MANAGEMENT 2














11.10 B.Sc. in Mathematics (Hons.) (F1D1) / General Maths (Ord.) (F1D2) with Psychology

Course Director: Dr K. Painter, Room CM T.08

YEAR 1

TERM 1 TERM 2 TERM 3A41NY - INTRODUCTION TO PSYCHOLOGY

F21RM - REASONING AND THE MIND

F21AJ – SENSES AND PERCEPTION










YEAR 2

Students taking the ordinary degree choose the Psychology module plus at least two maths modules from the list below in each term. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 2nd year director of studies.

TERM 1 TERM 2 TERM 3F22LM – LEARNING AND MEMORY

F22LP - LANGUAGE AND PERCEPTION

A42HI – HUMAN INTELLIGENCE









F72XB - STATISTICS FOR THE ENVIRONMENT* statistical inference, analysis of environmental studies ORF72SF - STATISTICS 6*statistical inference, hypothesis testing, likelihood ratio tests, general linear model

(*) module F72SF is a prerequisite for later statistics courses


YEAR 3

Both Honours and Ordinary students must choose the Psychology modules and, in Term 1, Abstract Algebra and Vector Analysis.


Ordinary degree students may choose one other maths module from the list below in Term 1and must choose Ordinary Differential Equations 1&2 and at least one further module from the list below in each of Terms 2 and 3. The remaining slots (if any), to make a total of four modules in each term, are chosen from among the options in appendix A plus ‘approved options’ selected in consultation with the 3rd year director of studies.

A43AY – DEVELOPMENTAL PSYCHOLOGY - THE LATER YEARS

Term 2 : A43HF – HUMAN FACTORS – DESIGNING FOR PEOPLETerm 3 : A43SC – SOCIAL COGNITION AND SOCIAL IDENTITY









YEAR 4Students choose the Psychology module plus any other three modules listed below in each term.

TERM 1 TERM 2 TERM 3A5XXX - ADVANCED APPLIED PSYCHOLOGY

F2XXX - TOPICS IN COGNITIVE SCIENCE A5XXX - Adv Applied Psychology 7


F14ZF2 - PURE MATHEMATICS 2finite groups



F14ZV – PDE’spartial differential equations














11.11 B.Sc. in Mathematical, Statistical and Actuarial Sciences (F1F1)


Course Director: Dr M.A.Youngson, Room CM S.03

YEAR 1

TERM 1 TERM 2 TERM 3F11MA - ALGEBRA 1sets, functions, complex numbers,recurrence relations









C21OA MICROECONOMICS 1OrC41RS READING TO WRITE 1

C21OB MACROECONOMICS 1OrC41RT READING TO WRITE 2

C31OC3 - FINANCE

YEAR 2

TERM 1 TERM 2 TERM 3F12MG - MULTIVARIABLE CALCULUSfunctions of several variables




F12ML - COMPUTER ASSISTED MATHSorC32CF – CORPORATE FINANCE




F72SF - STATISTICS 6statistical inference, hypothesis testing, likelihood ratio tests, general linear model

F72ZA – FINANCIAL MATHEMATICS 1

F72ZB – FINANCIAL MATHEMATICS 2

F72ZD – PROBABILISTIC ACTUARIAL MODELS

YEAR 3


Students must study Vector Analysis in Term 1 and Ordinary Differential Equations 1&2 in Terms 2 and 3 and in addition each term must study a further three modules at least one of which must be an F7 module

TERM 1 TERMS 2 & 3F13YS - VECTOR ANALYSISvector differential calculus, line and surface integrals


F13YR - ABSTRACT ALGEBRAF13YA - COMPLEX ANALYSISF13YC INTRO NUMERICAL ANALYSISF13YQ - ASYMPTOTIC ANALYSISC31OA - FINANCIAL ACCOUNTINGF73ZD – FINANCIAL MATHEMATICS 3F73ZE – LIFE INSURANCE MATHS 1F73SG – STATISTICAL INFERENCE

F13YE2/YK3 - ALGEBRA AND ANALYSIS 1&2F13YG2/YM3 - NUMERICAL ANALYSIS 1&2 F13YH2/YN3 - DISCRETE MATHEMATICS 1&2F13YJ2/YP3 - APPLIED MATHEMATICS 1&2F73DA2/DB3 – INTRODUCTORY/ CATEGORICAL DATA ANALYSISF73ZF2/3ZH3 - SURVIVAL MODELS 2&3F73ZG2/ZJ3 – LIFE INSURANCE MATHS 2&3F73SK2/SN3 – STOCHASTIC PROCESSES 1/APPLIED STOCHASTIC PROCESSESTerm 3 : C21OC3 – INTERNATIONAL ECONOMICS

YEAR 4

Students must study at least 4 modules each term including at least one F1 module and one F7 module.

TERM 1 TERM 2 TERM 3F14ZA – PURE MATHS 1F14ZU – OPTIMISATIONF14ZC - NUMERICAL ANAL 3F14ZD – APPLIED MATHS 3F14ZE – SPECIAL TOPICS 1F14ZR – SPECIAL TOPICS 4F74AM – PENSION FUNDSF74AR – RISK THEORYF74SQ - DESIGN OF EXPERIMENTSF74SR – STOCHASTIC PROCESSES 2

F14ZF – PURE MATHS 2F14ZV – PDE’sF14ZH - NUMERICAL ANAL 4F14ZJ – APPLIED MATHS 4F14ZK – SPECIAL TOPICS 2F14ZS – SPECIAL TOPICS 5F74AK LIFE OFFICE PRACTICEF74AZ – FINANCIAL RISK MANAGEMENTF74ST – TIME SERIESF74ZE – FINANCIAL MATHS 4F73SL – APPL STAT METHODS

F14ZL – PURE MATHS 3F14ZM PDE’s & OPTIMISATION 3F14ZN - NUMERICAL ANAL 5F14ZP – APPLIED MATHS 5F14ZQ – SPECIAL TOPICS 3F14ZT – SPECIAL TOPICS 6F74AP LIFE&PENSION PROJECTSF74AQ – ACTUARIAL REVISIONF73YP – STATISTICS REVISIONF74ZW – FIN MATHS REVISIONF74SW – STATISTICS REVISION

12. Appendix A: Other Course Options

YEAR 1

TERM 1 TERM 2 TERM 3BIOLOGY A11IB1 A11AB2 A21EB3PHYSICS B21PA1 B21PB2 B21PC3CHEMISTRY 2* B11CA1 B11CB2 B11CC3MORAL AND SOCIAL PHILOSOPHY C01MS1 C01MT2 C01MU3MANAGEMENT C11MA1 C11MB2 C11MC3ECONOMICS C21OA1 C21OB2 C21OC3ECONOMICS AND FINANCE C21OA1 C21OB2 C31OC3ACCOUNTANCY AND FINANCE C31OA1 C31OB2 C31OC3FRENCH 1** C41FX1 C41FY2 C41FZ3FRENCH 2* C42FX1 C42FY2 C42FZ3GERMAN 1 C41GX1 C41GY2 C41GZ3GERMAN 2* C42GX1 C42GY2 C42GZ3SPANISH 1 C41SX1 C41SY2 C41SZ3SPANISH 2* C42SX1 C42SY2 C42SZ3ARABIC 1 C41AX1 C41AY2 C41AZ3RUSSIAN C41RX1 C41RY2 C41RZ3(*) Students should already hold a pass in the subject at Higher grade or equivalent.(**) Students should already hold a pass in the subject at Standard grade or equivalent.

YEAR 2

Students may choose from the following options of term 1 electives: Biology (A11IB1), Physics (B21PA1), Chemistry* (B11CA1), Moral and Social Philosophy (C01MS1), Management (C11MA1), Economics (C21OA1), Accountancy (C31OA1), or IT Fundamentals (F21XC1).

(*) Students should already hold a pass in the subject at Higher grade or equivalent.

YEAR 3

In addition to the Year 1 options listed above (subject to timetable constraints), the following modules are available for year 3 students on Ordinary Degrees

TERM 1 TERM 2 TERM 3FOUNDATION PHYSICS B21XB1 B21XA2 B21XC3HISTORY OF SCIENCE B73PP1 B13CF2 A03DB3IT FUNDAMENTALS F21XC1 F21XD2 F21XE3

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HERIOT-WATT UNIVERSITY · Web viewMATHEMATICS. SCHOOL OF MATHEMATICAL AND COMPUTER SCIENCES. Information Guide for Students for the Session 2005-2006. KEEP FOR FUTURE REFERENCE