CRICOS Provider No: 00098G © 2013, School of Mathematics and Statistics, UNSW

Faculty of Science

School of Mathematics and Statistics

MATH1011 Fundamentals of Mathematics B

INFORMATION BOOKLET

Semester 2 2013

GENERAL INFORMATION FOR MATH1011

Background

MATH1011, Fundamentals of Mathematics B, is a 6 units of credit first year course offered bythe School of Mathematics and Statistics in semesters 1 and 2, and provides a good introductionto Calculus and Linear Algebra. MATH1011 also provides an appropriate preparatory course forenrolment into MATH1131, Mathematics 1A, for those students who don’t have a sufficiently goodbackground for immediate enrolment in that course.However, be aware that MATH1011 and MATH1131 cannot both count towards meeting the re-quirements of any degree. The excluded courses for MATH1011 are MATH1031, MATH1131,MATH1141, MATH1151, ECON1201 and ECON2291.

Assumed knowledge

To enrol in MATH1011 it is assumed that you have the equivalent knowledge of a mark of about70 in HSC Mathematics (formerly known as HSC 2 unit Mathematics). It will be assumedthat you have a good understanding of everything in the syllabuses for School Cer-tificate Advanced Mathematics and HSC Mathematics (2 unit) and that you havewell-developed skills in the basic techniques of high school mathematics. If you feel thatyou don’t have sufficient knowledge to successfully complete the course then you should seek advicefrom the mathematics staff or the Director of First Year.

Aims

The aim of MATH1011 is that by the time you finish the course you should understand the conceptsand techniques covered by the syllabus and have developed skills in applying those concepts andtechniques to the solution of appropriate problems. The exact syllabus is defined by the content ofthe lectures and tutorial problems.The syllabus includes a computing component, based on the software package Maple, and youshould develop sufficient facility with Maple to solve appropriate problems.

Learning Outcomes

A student should be able to:

• state definitions as specified in the syllabus,

• state and prove appropriate theorems,

• explain how a theorem relates to specific examples,

• apply the concepts and techniques of the syllabus to solve appropriate problems,

• prove specific and general results given specified assumptions,

• use mathematical and other terminology appropriately to communicate information and un-derstanding,

• use the symbolic computing package Maple as an aid to solve appropriate problems.

Lecturers

Calculus lecturer Derek Stokes RC-3071 derek.stokes@unsw.edu.auAlgebra Lecturer Frank Reid RC-3092 f.reid@unsw.edu.auLecturer-in-charge of computing Dr Denis Potapov RC-6111 d.potapov@unsw.edu.au

For tutorial administration:

Ms F. Fan School of Mathematics Student Services Rooms 3088-90, Red Centre

Lecture Times

Lectures commence in week 1 and run to week 12 according to the following timetable.

Wednesday 12-1 Algebra CLB 11-2 Calculus CLB 1

Thursday 9-10 Calculus CLB 210-11 Algebra CLB 2

Remember that important announcements and handouts may be given out in lectures, so missinglectures (or even arriving late) may cause significant difficulties for you.

Tutorials

Students in MATH1011 are enrolled in two tutorials, one for algebra and one for calculus. Thealgebra tutorial is timetabled for the 2nd half of the week, whilst the calculus tutorial is scheduledfor the 1st half of the week. Students are able to change their tutorials via myUNSW until theend of week 1, and after that time, they can only change their tutorials with the agreement ofthe Student Services Office, RC-3090. To change a tutorial you will need to provide proof of atimetable clash or work commitments.

Note that

• ALL tutorials commence in Week 2 and continue to week 13;

• attendance at tutorials is compulsory and the roll will be called in tutorials;

• some tutorial classes may have to be amalgamated or created after the start of semester tomaintain efficient tutorial sizes. If you are affected by any tutorial room changes you will benotified by an email to your official UNSW email account. During week 1 and 2 it is goodpractice to check your timetable regularly on myUNSW.

The main purpose of tutorials is to provide you with an opportunity to get help with any exer-cises which you find difficult and any parts of the lectures or textbook which you don’t understand.In order to get real benefit from tutorials you should

• Study your lecture notes and attempt relevant exercises before the tutorial so that you canfind out the areas in which you have difficulties.

• Complete the online tutorial preparation tests.

• Make sure that your tutor is aware of the areas in which you need help.

• Be as specific as possible in describing your difficulties — don’t just say “could you explainabout differentiation”.

3

• Be an active participant in tutorials, asking and answering questions rather than just sittingand watching.

All the tests and assignments which you submit (except formal examination scripts and onlineassessments) will be marked by your tutor and returned through tutorials.

Textbooks

• J.C. Arya and R.W. Lardner, Mathematics for the Biological Sciences, Prentice-Hall.

• J.B. Fitzpatrick, New Senior Mathematics — Three Unit Course for Years 11 and 12 , Heine-mann.

Arya & Lardner and Fitzpatrick are available at the UNSW Bookshop, while all other materialneeded for MATH1011 is available via UNSW Moodle.

You may also find it helpful to refer to other HSC 2/3 Unit textbooks.

Contacting the Student Services Office

The School of Mathematics and Statistics web-site

http://www.maths.unsw.edu.au

contains many pages of useful information on mathematics courses, school policies and how toobtain help, both academic and administrative. If you cannot find the answer to your queries onthe web pages you are welcome to contact the First Year office directly.

The first year adviser in the Student Services Office of the School of Mathematics and Statisticsis Ms F. Fan (Francy). All administrative enquiries concerning first year Mathematics coursesshould be sent to Ms Fan, either:

• by email to fy.MathsStats@unsw.edu.au

• by phone to 9385 7011

• or in person in room RC-3090 (between 9am to 12 noon or 2pm to 4pm)

Change of tutorials, due to timetable clashes or work commitments, permission to take class testsoutside your scheduled tutorial, advice on course selection and other administrative matters arehandled in the Student Services Office. Constructive comments on course improvment may alsobe emailed to the Director of First Year. Should we need to contact you, we will use your officialUNSW email address of

zSTUDENTNO@student.unsw.edu.auin the first instance.

Computing

In addition to the calculus and algebra components, there is a computing component in MATH1011.This is partly interwoven with the calculus and algebra components and partly independent of them.This computing component is constructed so that you teach yourself how to use the Maple softwarepackage to solve a selection of mathematical problems. The aim here is to give you experience inlearning new (computational) techniques by yourself.

There will be introductory instructional videos available in UNSW Moodle.

4

Students are then expected to independently work through and understand the provided Mapleworksheets and use the practice tests in Maple TA for self-assessment. More details about thecomputing component, including information about the online Maple test, are given later in thisbooklet. Finally, note that the end of semester exam may contain one or two questions requiringa knowledge of Maple. More information about the computing component and its assessment isgiven later in this booklet.

Assessment

Your final raw mark will be made up as follows:

Class tests 20%Computing test 5%Online Calculus tests 5%End of semester exam 70%

Note that:

• You will not be allowed to use a calculator in class tests.

• Tutors are expected to enter class test marks into the School’s database within a fortnight ofthe test being sat. These marks are then available to you through the Student Web Portalaccessed via the “Maths and Stats Marks” link on the home page of MATH1011 on theUNSW Moodle server. It is your responsibility to check that these marks are correct andyou should keep marked tests and assignments until the end of session in case anerror has been made in recording the marks. If there is an error, either speak to your tutor orbring your test paper to the Student Services Office as soon as possible but no later thanthe Friday of Week 13.

• Your final raw mark will be scaled by the School of Mathematics and Statistics. This is doneso that the final distribution of marks is consistent with general university guidelines.

• Be aware that a final mark of 49 often means that the course has been failed.Therefore, it is very important that you attempt all assessment tasks.

• If your final mark for MATH1011 is in the range 46–49 you may be granted a Pass Conceded(PC) for the course. This decision is not made by the School of Mathematics and Statistics.The rules governing the granting of the grade of PC are on the web page

https://my.unsw.edu.au/student/academiclife/assessment/concession_algorithm.html

Online Algebra/Calculus Preparation

Each week you must complete a simple online test that is designed to help you prepare for thetutorial. These tests can be found on the MATH1011 class in Maple TA. A new test will becomeavailable at 2pm on each Thursday in weeks 1 to 11, and be due by 9am on Wednesday of thefollowing week (i.e. before the first calculus tutorial of the week.)

You will be allowed 5 attempts at each test and your best 8 tests will contribute up to 5% ofyour final grade.

Note:

• the first test starts in week 1 as preparation for the week 2 tutorials;

• each attempt at these tests must be your own work, but you are encouraged to discuss themethods required with other students;

5

• each test presented to you will be slightly different, so don’t just copy answers from oneattempt to the next.

• no additional attempts will be granted. You have 5 attempts at these tests to allow fortechnical or other problems that may result in one or more attempts being lost;

• no deadline extensions will be granted. You should attempt these tests with sufficientremaining time to allow for unplanned service interruptions.

Class Tests

The two calculus class tests are scheduled for weeks 5 and 9 whilst the two algebra class tests arescheduled for weeks 6 and 12. The tests will examine topics in the syllabuses as shown in the tablebelow; problem section numbers refer to the Algebra Booklet and the Calculus Booklet:

Test Lecture Topics Problems from section

Calculus Test 1 Lecture topics from weeks 1 and 3 inclusive 1.1 to 1.3 inclusiveCalculus Test 2 Lecture topics from weeks 4 to 7 inclusive 1.4 to 2.4 inclusiveAlgebra Test 1 Lecture topics from weeks 1 to 4 inclusive 1.1 to 2.1 inclusiveAlgebra Test 2 Lecture topics from weeks 4 to 10 inclusive 2.2 to 4.4 inclusive

Note that

• Examples of previous class tests can be found in the back of the Calculus andAlgebra Booklets.

• You must be enrolled in an Algebra tutorial and a Calculus tutorial and you must takeevery test in the tutorial to which you have been officially allocated.

• To each test you must bring

– your student ID card

– some blank A4 writing paper

– a stapler (so that you can staple a cover sheet to your answers).

• Normal exam conditions apply in tests. In particular, during the test you must not havevisible any material relevant to the test and you must not try to get assistance from (or giveassistance to) any other person.

• You will not be allowed to use a calculator in class tests.

• When your test answers have been marked and handed back to you by your tutor, don’t tryto change your answers or falsify the marks awarded — a student who tried to do this recentlywas penalised by being given a failure in the course.

• Your best three scores in the four tests will be counted towards your final assessment mark.

UNSW Moodle

The School of Mathematics and Statistics makes extensive use of the centrally provided electroniclearning environment known as “UNSW Moodle”. This information booklet, the algebra andcalculus problems sets, past exam solutions and computing information are all available via theappropriate course module on the UNSW Moodle server. Access to this server is via any suitablyconfigured web browser from any computer with an internet connection. The URL for UNSWMoodle is

6

http://moodle.telt.unsw.edu.au

For UNSW Moodle your “Username” is z immediately followed by your student number and your“Password” is your zPass. Help for using Moodle is available via links from the UNSW Moodlelogin page or directly via the URL

http://support.telt.unsw.edu.au/moodle

Once logged in to UNSW Moodle you will have a choice of modules for all your courses, includingyour current mathematics course. The home pages for all UNSW Moodle modules for First YearMathematics courses have a similar structure with links to “Important Information”, “CourseOutline”, “Public Course Homepage” and “Maths and stats marks” in the course menu near thetop left of the page. The “Maths and stats marks” link is particularly important as this takesyou to the log-in page of the Student Portal for the School of Mathematics and Statistics. Oncethrough this gateway you have access to your mathematics assessment marks, including results ofany class tests that may be available and your provisional end of semester mark.

In particular, links to videos on how to use Maple are under the heading Computing Component(Maple).

Teaching Strategies

MATH1011 is taught through carefully planned lectures that logically develop the concepts andtechniques specified in the course. Examples are emphasised as they provide the underlying moti-vation for the course, and because students best understand the general theory when it is developedfrom simple, and then more complex, examples.Small group tutorials allow students to apply the material introduced in the lectures. These tutori-als provide the opportunity for individual assistance. Students are expected to work conscientiouslyand independently at understanding the solutions to the exercises.Students are encouraged to give constructive feedback to teaching staff during the teaching semester.They are also encouraged to work collaboratively with other students in the course to develop theirunderstanding and their problem solving skills.

Statement on Assessment

The School of Mathematics and Statistics has responded to student and staff concerns aboutplagiarism in assignments. Consequently, First Year Mathematics Courses are generally assessedby randomly generated online tests, short class tests and a written examination. The online testsand short class tests provide regular feedback to students. They also allow the course to be brokeninto smaller segments to facilitate learning.

It is unusual for questions on class tests to be marked out of more than 3 or 4 marks, and adviceis given to tutors as to how those marks are to be awarded. Generally part-marks are awardedaccording to the number of correct steps made in answering the question. Students should raiseany concerns that they have regarding their marks with their tutor when their papers are returned.If their concerns are not satisfactorily resolved, they may speak to the First Year Director.

The end of semester exam is a multiple choice exam. When all component marks for thecourse are combined a committee of staff determines the pass mark and produces the final (scaled)marks.

Details regarding the tests and examination are given later in this booklet.

Getting help outside tutorials

If you are having difficulty understanding the lectures or doing the suggested problems, alwaystry to get help through your tutorials. In most cases there will be other students who are having

7

the same difficulties and it is better to provide help to all at once rather than giving the sameexplanation to ten or twenty students individually outside class.

However, there may be occasions when there is not enough time to get your questions answeredin a tutorial. In these cases you may be able to get some help outside tutorials. If your tutor is afull-time member of staff you can ask them for their room number and times when they are availableto see students (many members of staff put a notice on their office door showing the times whenthey are available). Tutors who are not full-time members of staff are not required to be availableoutside tutorial class times and may not have offices in the School. To cover students whose tutoris not available, from week 3 there is a roster which shows for each hour of the week a list ofnames of members of staff who are available at that time to help students infirst year mathematicscourses. This roster is displayed on the noticeboard near the Mathematics and Statistics SchoolOffice (Room 3070, Red Centre). It is also available from the web page

http://www.maths.unsw.edu.au/currentstudents/consultation-mathematics-staff

You can also avail yourself of the Student Support Scheme. This Scheme is financed by theSchool of Mathematics and Statistics and is staffed by later year mathematics students.

Student Support Scheme

The Student Support Scheme (SSS) is a drop-in consultation centre where students can come forfree help with certain first- and second-year mathematics courses. The type of help offered by thetutors of the SSS is either one-on-one assistance, or, at busier times, assistance in small groups.Students typically bring their partial solutions of mathematics coursepack questions to the SSSoffice. An SSS tutor then provides guidance and advice. The SSS office is located in RC-3064.

The schedule telling you the opening hours will be available on the SSS website at

http://www.maths.unsw.edu.au/currentstudents/student-support-scheme

by the end of Week 1. Please remember that there is no appointment needed. Just drop-in andyou will be able to obtain one-on-one help from SSS tutors.

Recommended exercises

The detailed syllabuses for the Algebra and Calculus parts of MATH1011 appear later in thisbooklet. These syllabuses show exercises which you are recommended to do before each tutorial.

Remember that Mathematics, like tennis, can’t be learnt just by watching someone else do it.The key to success is to work through all the recommended exercises in your own time.To get the most out of tutorials, you should attempt the relevant exercises before the tutorial sothat you know which exercises you find difficult.

Calculator Information

For end of semester UNSW exams students must supply their own calculator. Only calculatorson the UNSW list of approved calculators may be used in the end of semester exams. This list issimilar to the list of calculators approved for HSC examinations.

BEFORE the exam period calculators must be given a “UNSW approved” sticker, obtainablefrom the School of Mathematics and Statistics Office, and other student or Faculty centres. TheUNSW list of calculators approved for use in end of semester exams is available at

https://my.unsw.edu.au/student/academiclife/assessment/examinations/Calculator.html

8

Interpretation of test results

The average mark for tests in MATH1011 is about 7 out of 10. Past experience is that studentsare likely to have difficulty passing this course if their average test mark is less than 5. If you findthat your average after the first two tests is less than 5, you should talk to your tutors about yoursituation and what you can do about it. Further, past records indicate that about 65% of studentswhose best three class tests totalled to 17 or less did not get an overall pass in MATH1011.

Graduate Attributes

MATH1011 will provide you with an in-depth knowledge of topics in Calculus and Linear Algebraand show applications in interdisciplinary contexts through lectures and exercises. It will enhanceyour skills in analytical thinking and problem solving through illustrative examples in lectures andproblem based tutorials. The course will also engage you in independent and reflective learningthrough your independent mastery of tutorial problems and Maple. The mathematical skills thatyou will develop are generic problem solving skills, based on logical arguments, that can be appliedin multidisciplinary work. You will be encouraged to develop your communication skills throughactive participation in tutorials, and by writing clear, logical arguments when solving problems.

Academic misconduct

It is very important that you read and understand the University’s Rules for the conduct of Ex-aminations and the penalties for Academic Misconduct. This information can be accessed throughmyUNSW at:

https://my.unsw.edu.au/student/academiclife/assessment/examinations/examinations.html

In recent years there have been cases where severe penalties have been imposed for misconduct inrelation to tests and exams in Mathematics courses.

Illness and other problems

If your performance in this course is affected by illness or other serious difficulties which are beyondyour control, you can apply for Special Consideration and you may be offered the opportunity forAdditional Assessment. In order to be offered Additional Assessment it is essential that you followthe procedures set out in the document entitled “Application for Special Considerationin MATH1011, MATH1041 and MATH1081 Semester 2 2013.” A copy of this documentis included in this booklet. You should read it carefully now and keep it for reference at the timewhen you actually need it. Each year there are some students who fail a course because they didn’tfollow these instructions.

PLEASE DO NOT APPLY ON-LINE FOR SPECIAL CONSIDERATION FORCLASS TESTS OR ON-LINE TESTS. If you are ill for a test, bring the necessary documen-tation to your tutor in the following tutorial or as soon as practicable thereafter. In regard to theSchool of Mathematics and Statistics the on-line system is only for long-term illness or illness atthe time of the final examination.

Take particular note that

• The School will not necessarily contact you to tell you that you have been granted AdditionalAssessment. It is your responsibility to find this out by following the instructions in thedocument mentioned above. As a matter of course, you should regularly check your officialUniversity email address, which is:

z(STUDENTNO)@student.unsw.edu.au

9

• If you have a poor record of attendance or performance during the session youmay be failed regardless of illness or compassionate grounds affecting the finalexam.

Note also that

• If illness affects your attendance at or performance in a class test, do not make an applicationfor Special Consideration to Student Central. Simply show the original medical certificate toyour tutor and also give a copy of the medical certificate to your tutor. This information willbe taken into account when calculating your final assessment mark.

• Transport delays and oversleeping will not be accepted as reasons for missing class tests.(But note that only your best three test results are counted for assessment.)

• If you arrive too late to be admitted to the end of semester exam, go immediately to theStudent Services Office, Room 3090, Red Centre.

Past examinations

A sample multiple choice exam paper will be available on Moodle.

Information and handouts

Important announcements may be made in lectures. If you miss a lecture or tutorial, or arrive latefor it, it is essential that you check whether you have missed any announcements or handouts.

All important administrative announcements, especially those indicating a change to informa-tion contained in this booklet, are repeated as announcement on UNSW Moodle. Further noticesof an urgent nature may be emailed to students at their official UNSW email address.

School of Mathematics and Statistics Policies

The School of Mathematics and Statistics has adopted a number of policies relating to enrolment,attendance, assessment, plagiarism, cheating, special consideration etc. These are in addition tothe policies of the University. Individual courses may also adopt other policies in addition toor replacing some of the School ones. These will be clearly notified in the Course Handout andon the Course Home Page on the MathsStats web site. Students in courses run by the Schoolof Mathematics and Statistics should be aware of the School and Course policies by reading theappropriate pages on the MathsStats web site starting at:

http://www.maths.unsw.edu.au/currentstudents/assessment-policies

The School of Mathematics and Statistics will assume that all its students have read and understoodthe School policies on the above pages and any individual course policies on the Course Handoutand Course Home Page. Lack of knowledge about a policy will not be an excuse for failing to followthe procedures in it.

Course improvement

The School of Mathematics and Statistics has several mechanisms in place for regular review andimprovement of First Year courses. One component of the review process is student feedback,generated either by the CATEI surveys or by direct contact from individual students or groups ofstudents. Other elements of our course review processes include:

• feedback on program requirements from academics in other Schools and Faculties;

10

• regular rotation of lecturing staff teaching First Year courses to generate fresh and innovativeapproaches to the course content and structure;

• regular review of the quality of the tutors and tutorial problems.

A recent innovation has been the introduction of short, screen-capture videos to provide instructionon various aspects of the use of the computing facilities within the school.

Getting advice

Your Algebra and Calculus tutors and lecturers should be able to give you most of the advice youneed on mathematical and administrative matters concerning MATH1011. If your problems aremore serious or of a different nature you should speak the Director of First Year in Room 3073,Red Centre.

If you have general study problems or personal problems, don’t just hope that they will go away.Take advantage of the free and confidential help which is available within the university. The Learn-ing Centre (Lower Ground Floor, North Wing, Chancellery Building, map reference C22) providesindividual consultations and workshops on study skills, time management, stress management, En-glish language, etc. The Counselling Service (2nd Floor, East Wing, Quadrangle Building) offersthe opportunity to discuss any issue which concerns you including academic problems, personal re-lationships, administrative hassles, vocational uncertainty, sexual identity and financial hardship.For more details, see the myUNSW website.

Peter BrownDirector of First Year Studies

School of Mathematics and Statisticsfy.MathsStats@unsw.edu.au

11

APPLICATIONS FOR SPECIAL CONSIDERATION IN

MATH1011, MATH1041 AND MATH1081 SEMESTER 2 2013

If you feel that your performance in, or attendance at, a final examination has been affected byillness or circumstances beyond your control, or if you missed the examination because of illness orother compelling reasons, you may apply for special consideration. Such an application may leadto the granting of additional assessment.It is essential that you take note of the rules 1, 2, 5 and 6, which apply to applicationsfor special consideration in all first year Mathematics courses. Rules 3 and 4 apply tothe above courses only.

1. Within 3 days of the affected examination, or at least as soon as possible, you must submita request for special consideration to UNSW Student Central ON-LINE.

Please refer to link below for How to Apply for Special Consideration,

https://my.unsw.edu.au/student/atoz/SpecialConsideration.html#

ApplyingforSpecialConsideration

2. If you miss a class test due to illness or other problems, then you should provide the appro-priate documentation to your tutor who will record an M. DO NOT apply on-line for specialconsideration for class tests or for on-line or computing tests.

3. If your course involves a MAPLE/MATLAB lab test which you miss, you should contact thelecturer in charge of computing as soon as possible. A resit will be organised for later in thesession.

4. Please do not expect an immediate response from the School. All applications willbe considered together. See the information below.

5. You will NOT be granted additional assessment in a course if your performancein the course (judged by attendance, class tests, assignments and examinations) does notmeet a minimal standard. A total mark of greater than 40% on all assessment not affectedby a request for special consideration will normally be regarded as the minimal standard foraward of additional assessment.

6. It is YOUR RESPONSIBILITY to find out FROM THE SCHOOL OF MATHE-MATICS AND STATISTICS whether you have been granted additional assessment andwhen and where the additional assessment examinations will be held. Do NOT wait toreceive official results from the university, as these results are not normally availableuntil after the Mathematics additional assessment exams have started. Information aboutaward of additional assessment is available from the School of Mathematics and Statistics inthe following ways:

a) A provisional list of results in all Mathematics courses and of grants of additionalassessment will be available via the “Maths and Stats Marks” link in the UNSW Moodlemodule for your course late on Friday 29th November.

b) An updated list of results and of grants of additional assessment will be available viathe “Maths and Stats marks” link in the UNSW Moodle module for your course late onFriday 29th November.

c) On Monday 2nd December ONLY, you may telephone the School Office (9385 7111)to find out whether you have been granted additional assessment and where and when itwill be held. Note that examination results will not be given over the phone.

12

7. The timetables for the additional assessment examinations will be available on the Mathe-matics website at the same time as the provisional list of results.

8. If you have two additional assessment examinations scheduled for the same time, pleaseconsult the School of Mathematics and Statistics Office as soon as possible so that specialarrangements can be made.

9. You will need to produce your UNSW Student Card to gain entry to additional assessmentexaminations.

IMPORTANT NOTES

• The additional assessment examination may be of a different form from the original exami-nation and must be expected to be at least as difficult.

• If you believe that your application for special consideration has not been processed, youshould immediately consult the Director of First Year Studies of the School of Mathematicsand Statistics (Room 3073 Red Centre).

• If you believe that the above arrangements put you at a substantial disadvantage, you should,at the earliest possible time, send full documentation of the circumstances to the Directorof First Year Studies, School of Mathematics and Statistics, University of New South Wales,Sydney, 2052.

In particular, if you suffer from a chronic or ongoing illness that has, or is likely to, put you at aserious disadvantage then you should contact the Student Equity and Disabilities Unit (SEADU)who provide confidential support and advice. Their web site is

http://www.studentequity.unsw.edu.au

SEADU may determine that your condition requires special arrangements for assessment tasks.Once the First Year Office has been notified of these we will make every effort to meet the arrange-ments specified by SEADU.

Additionally, if you have suffered a serious misadventure during semester then you shouldprovide full documentation to the Director of First Year Studies as soon as possible. In thesecircumstances it may be possible to arrange discontinuation without failure or to make specialexamination arrangements.

Professor B. HenryHead, School of Mathematics and Statistics

13

UNIVERSITY STATEMENT ON PLAGIARISM

Plagiarism is the presentation of the thoughts or work of another as one’s own.1 Examples include:

• direct duplication of the thoughts or work of another, including by copying work, or knowingly per-mitting it to be copied. This includes copying material, ideas or concepts from a book, article, reportor other written document (whether published or unpublished), composition, artwork, design, draw-ing, circuitry, computer program or software, web site, Internet, other electronic resource, or anotherperson’s assignment without appropriate acknowledgement

• paraphrasing another person’s work with very minor changes keeping the meaning, form and/or pro-gression of ideas of the original;

• piecing together sections of the work of others into a new whole;

• presenting an assessment item as independent work when it has been produced in whole or part incollusion with other people, for example, another student or a tutor; and,

• claiming credit for a proportion a work contributed to a group assessment item that is greater thanthat actually contributed2.

Submitting an assessment item that has already been submitted for academic credit elsewhere may also beconsidered plagiarism.

The inclusion of the thoughts or work of another with attribution appropriate to the academic disciplinedoes not amount to plagiarism.Students are reminded of their Rights and Responsibilities in respect of plagiarism, as set out in the Univer-sity Undergraduate and Postgraduate Handbooks, and are encouraged to seek advice from academic staffwhenever necessary to ensure they avoid plagiarism in all its forms.The Learning Centre website is the central University online resource for staff and student information onplagiarism and academic honesty. It can be located at:

www.lc.unsw.edu.au/plagiarismThe Learning Centre also provides substantial educational written materials, workshops, and tutorials

to aid students, for example, in:

• correct referencing practices;

• paraphrasing, summarising, essay writing, and time management;

• appropriate use of, and attribution for, a range of materials including text, images, formulae andconcepts.

Individual assistance is available on request from The Learning Centre.

Students are also reminded that careful time management is an important part of study and one of the

identified causes of plagiarism is poor time management. Students should allow sufficient time for research,

drafting, and the proper referencing of sources in preparing all assessment items.

1Based on that proposed to the University of Newcastle by the St James Ethics Centre. Used with kind permissionfrom the University of Newcastle.

2Adapted with kind permission from the University of Melbourne

14

Algebra Syllabus

Week Lecture Topics Tutorial Exercisesfor this week

1 Trigonometry No tutorial; try the RevisionRight triangles, sine and cosine rules, applications to 2 and 3 exercises and start learningdimensional problems, radians, solution of sin x = k, how to use Maple TAintroduction to inverse trig. functions, solution ofsin−1 k = x, sketching trig. and inverse trig. functions)

2 Trigonometry 1.1 (1–20)(Trig. identities, exact trig. ratios,auxiliary angle and modelling with waves)

3 Vectors 1.1 (21–36)(introduction, application to displacement,problems, vector geometry, dot and cross products )

4 Polynomials and complex numbers 1.2 (1–19)(Remainder and factor theorems, polynomials withcomplex roots, arithmetic with complex numbers,modulus and argument, argand diagrams)

5 Complex Numbers 2.1 (1–11)(Polar form of complex numbers, powers, square roots, 2.2 (1–7)inequalities in R2, sketching regions of the complex plane)

6 Matrices(matrix arithmetic, 2× 2-determinants, 2.2 (8–18)inverses, and applications )

7 Systems of Linear Equations 2.3 (1–3)(Gaussian elimination, back-substitution, and applications) 3.1 (1–8)

8 Counting 3.2 (1–16)(sizes of (finite) sets,addition law, inclusion/exclusion, multiplication law,arrangements and selections)

9 Counting (contd) 4.1 (1–14)(Selections and Applications)Probability 4.2 (1–3)(introduction, addition and multiplication laws)

10 Probability 4.2 (4–10)(independent events, conditional probability)Sequences 4.3 (1–3)(Arithmetic and geometric)

11 Summation and induction 4.3 (3–11)(Summation notation, series, mathematical induction) 4.4 (1–9)Binomial Theorem

12 Binomial TheoremRevision 4.5 (1–10)

4.6 (1–6)

13 No Lectures 4.7 (1–7)

Tutorial exercise numbers refer to the Algebra Booklet available from the MATH1011 moduleon UNSW Moodle.

15

Calculus Syllabus

Week Lecture Topics Tutorial Exercisesfor this week

1 Notation, domain and range of functions No tutorial; try the Revision exercisesSketching curves without calculus and go to the introduction to computing(straight lines, quadratics, cubics) lecture at the time corresponding to

your calculus tutorial

2 Inequalities and absolute values 1.1 (1–9)(sketching and solving)Surds and indices

3 Exponentials and logarithms 1.2 (1–6)Introduction to functions 1.3 (1–3)Odd, even and inverse functions

4 Limits (polynomial and trigonometric) 1.3 (4–12)Continuity and introduction to 1.4 (1–3)differentiation

5 Differentiation(product, quotient and chain rules) 1.4 (4–5)

2.1 (1–7)

6 Higher derivatives 2.2 (1–5)Interpretations of the derivative 2.3 (1–3)Curve sketching

7 Further applications of differentiation 2.3 (4–12)(motion of a paticle, maxima and minima)Sequences

8 Newton’s method 2.3 (13–19)Implicit differentiation 2.4 (1–12)Parametric equations, related rates

9 Exponential growth and decayNewton’s law of cooling 2.5 (1–8)Modelling with the exponential function 2.6 (1–5)

10 Integration – methods of 2.6 (6–20)integration, including substitution 2.7 (1–3)Riemann sums

11 Fundamental theorem of calculus 2.7 (4–11)Areas under curves 3.1 (1–9)Definite integrals

12 Simpson’s rule 3.2 (1–3)Applications of Integration 3.3 (1–13)

13 No lectures 3.4 (1–6)3.5 (1–6)

Tutorial exercise numbers refer to the Calculus Booklet available from the MATH1011 moduleon UNSW Moodle.

16

SCHEDULE OF ALL CLASS ASSESSMENTS

Lectures run in weeks 1–12 and tutorials run weeks 2–13. The table below gives the schedule ofclass tests, online tutorial preparation tests and computing assessments.

Week Algebra Calculus Computing

1

2 TP1 TP1

3 TP2 TP2

4 TP3 TP3

5 TP4 TP4, Test 1

6 TP5,Test 1 TP5

7 TP6

8 TP7 TP7

9 TP8 TP8, Test 2 Online Maple practice completed

Mid-semester break

10 TP9 TP9

11 TP10 TP10

12 TP11,Test 2 TP11

13 Online Maple test completed

End of semester examination — check UNSW

exam timetables for details

Examples of class tests are contained in the Algebra booklet and the Calculus booklet.TP1, TP2, etc denote the weeks when the online tutorial preparation tests are due for comple-

tion. The precise availability of these tests is given on page 5 and also in Maple TA.

17

Computing in MATH1011

Why computing?

MATH1011 covers many mathematical techniques that are useful in understanding and predictingthe behaviour of physical and biological systems. In order for you to become comfortable with thesetechniques, the problems presented in lectures and tutorials often involve only small data sets, fewvariables or simple functions.

The aim of the computing component of this course is to show you how you can use computeralgebra software to apply the mathematics you have learnt to solve problems that would be verycumbersome to tackle by hand. In MATH1011, the software we will be using is called Maple. Evenfor relatively simple problems, Maple can be useful as it does not make simple arithmetic errors!

Whether or not you continue on in mathematics, the computing skills you learn with us shouldstill be useful in your university studies and beyond because:

• Your experience with Maple will make it easier to learn other software packages.

• Many other Schools are starting to use packages like Maple.

• Symbolic computing techniques will be useful when you use mathematics in your future career.

UNSW has a policy that all students (no matter what program they are in) should be introducedto the basic techniques of computer use. For students in science and engineering programs, part ofthis requirement is met by the computing included in first year mathematics.

What sort of computer or applications do I need?

The School of Mathematics and Statistics provides computing labs with everything you will needfor computing in MATH1011 (see below). Most of the School’s computers run Linux, and weencourage you to use these. There are also PCs running Microsoft Windows that you may use.

You can access material on UNSW Moodle (the University’s e-learning portal — see 6), thetesting environment Maple TA, and the School’s website from almost any web browser anywhere.In addition, if you have your own recent copy of Maple, you will be able to work on the practicetests at home. Maple is available from the UNSW bookshop and online from Maplesoft but youare not expected to buy your own copy.

Note: We recommend that you attempt the actual Maple test in one of the School’s computerlabs. If you have your own copy of Maple and wish to attempt the final Maple test from home, wecannot be responsible for the reliability of your computer and internet connection.

What will I have to do and when?

In MATH1011 you will be required to complete an online Maple test which will make up 5% of yourfinal grade. There will also be at least one Maple sub-question in the end of semesterexam. The online Maple test will prepare you for the Maple question(s) in the exam.

Questions will be presented to you via Maple TA, you will answer them using Maple and thensubmit your answers online. A mark and feedback will be available as soon as the test is completed.

Before any tests can be undertaken in Maple TA you must complete a declaration that youare attempting the tests without the assistance of any other person. Then an unlimited number ofpractice tests will be available from the beginning of week 3 and you must score at least 5/10 inone of these before 4pm on Friday at the end of week 9 to gain access to the actual Maple testthatcounts towards your final MATH1011 mark. Once you have this access, and until 4pm on Fridayat the end of week 13, you will be allowed 5 attempts at the Maple test. Your final mark will be

18

the best mark from your 5 attempts. Each attempt at a practice test and the actual test will havea time limit of 1 hour. Note: Historically the most common mark for this test is 9 or 10/10.

All the information that you will need will be available on the MATH1011 UNSW Moodle site(see page 6).

To prepare for this test, you should:

1. Watch the inductory videos provided on UNSW Moodle.

2. Work though the introductory material on UNSW Moodle in your own time.

3. Continue to attempt the Maple practice tests (in Maple TA) until you are confident withthem. You must score at least 5/10 before the end of week 9 in order to be allowed toattempt the Maple test.

WARNING: Your answers to the Maple test must be your own work. You must not receive anyhelp during an attempt at the Maple test. Just as for the online tutorial preparation tests, noadditional attempts or deadline extensions will be granted for the Maple Test.

Getting started with computing in MATH1011

The MATH1011 module in UNSW Moodle has several short instructional videos illustrating howto access and use all the computing related components of MATH1011.

You should use some of your free time in week 1 go to the Red Centre lab G012 and complete theMaple introductory materials, available in UNSW Moodle, and in Maple TA you should completethe assignment “Using Maple TA”. Consultants will be on duty from 12noon to 4pm each day tohelp you get started with these tasks.

Getting further help

There is a wide range of self-help material in the computing pages in the MATH1011 module onUNSW Moodle and this should be the place you check in the first instance.

A computing consultant will be available in Room G012 from at least 12noon to 4 pmevery weekday until at least the end of week 9. There will be no computing consultants availableduring week 10 when the labs are closed for laboratory tests in other courses and only a reducedconsultation roster in weeks 11 to 13. The consultant will be sitting at one of the Consultant’sTerminals at the front of the main blocks of PCs or helping people at their computers and wearinga bright yellow vest. If you have a problem with Maple, ask the consultant.

For all Maple problems (but not equipment faults, login problems and password problems) youshould see the consultant, or see your tutor if it is a problem with the mathematics involved.

Equipment faults, login problems and password problems should be notified to theoperators at the Help Desk (the window in Room M020). Please note that the operators andother staff of the Computer Centre are NOT available to act as computing consultants. They arenot experts in Maple.

If all else fails, contact or send an email to the Lecturer in Charge of MATH1011 Computing,Dr. Dennis Potapov (Red Centre Room 6111), email d.potapov@unsw.edu.au.

Computing Facilities

A detailed description of the computing facilities in the School of Mathematics and Statistics isavailable via documents linked from the web page

19

http://www.maths.unsw.edu.au/currentstudents/first-year-computing-notes

These documents are also available from within the Linux desktop (see page 21). Here we describeonly those features needed for MATH1011.

The computing laboratories

The School of Mathematics and Statistics runs 2 Undergraduate Student Laboratories, containinga network of approximately 150 personal computers (PCs) which run either the Linux or MicrosoftWindows operating system (see below). It does not matter which PC you use at any particularsession, they all behave the same way.

The School’s laboratories are in rooms G012 and M020 of the Red Centre. Room M020 isthrough the glass door (and along the corridor) opposite the Mathematics entrance to the RedCentre. Room G012 is down the stairs from the main entrance, and is split into three sections “A”,“B” and “C”. The “A” and “C” sections also provide data projection facilities and are thereforenot always available for general use. The “C” section (which is immediately to your left as youenter the lab) is made up of Microsoft Windows computers and mostly used in the teaching ofStatistics subjects.

The following table describes the labs:

M020 has 40 dual boot (Linux/Windows) PCs available for your use except when booked for aclass.

G012A has 35 Linux terminals, and is often booked for teaching sessions.

G012B has 40 Linux terminals and is normally available for general use.

G012C has 40 Windows terminals, and is often booked for teaching sessions.

Check the door of G012 to find out when G012A or G012C is booked.

These laboratories also have 2 printers each. The lab printers use the same payment systemas the printers in the UNSW Library. Follow the instructions at

http://www.library.unsw.edu.au/about/facilities/printing.html

for setting up the necessary credit and information about copy and printing charges.In most cases you will print directly from an application used to display your document. How-

ever, the print job will then sit in an electronic queue until you use a terminal next to the printerto authorize use of your credit for printing.

Hours of Opening

The laboratories will normally be open as follows:

M020 G012During semester: Monday to Friday 9 am to 9 pm 9 am to 9 pmWeek 10: Monday and Friday 9 am to 9 pm Closed

Saturdays, Sundays Closed ClosedDuring holidays: Monday to Friday 9 am to 9 pm ClosedPublic holidays and Weekends Closed Closed.

Any changes to these times will be posted on the door of Room M020.

Remember that there will always be unscheduled periods when the computers are not workingbecause of equipment problems and that this is not a valid excuse for not completing tests on time.

20

Using the computers

Passwords

The computers in the school labs, UNSW Moodle, Maple TA and the School of Mathematicsand Statistics student web portal ALL require your UNSW username (z followed by your studentnumber, e.g. z3900007) and your zPass to log in.

Before you can use your account you must have a valid zPass and it must be unlocked. Youcan create or unlock your zPass using the UNSW Identity Manager at

https://idm.unsw.edu.au

If you have trouble logging in to a computer in a School of Mathematics and Statistics lab, youshould first try resetting your zPass using IDM.

Remember that YOU ARE RESPONSIBLE FOR YOUR ACCOUNT, and any misuse of it byyou or anyone else (for example, using the account for anything not related to your mathematicssubjects) will be treated as a case of Academic Misconduct. DO NOT GIVE YOUR ZPASS TOANYONE ELSE. You must NOT write your zPass down anywhere where it can be identified withyour student number. If you think someone has found out what your zPass is, change it immediately.

Accounts

If you are enrolled in a Mathematics or Statistics course will be able to log in to the computersin the Mathematics and Statistics computer labs using their zID and zPass. Once logged in willhave access to your university wide H drive. Any file that we wish to be preserved after you logout should be stored on your H drive.

If you have trouble logging in to a computer in the lab first try changing your zPass using theUNSW Identity Manager and if that fails, go to the Help Desk window in RC-M020 between 9 amand 5 pm on any weekday.

Using the Linux Desktop

The Linux interface is known as KDE, which stands for K Desktop Environment. It is designed towork in a manner very similar to Microsoft Windows. It is assumed that a windows like environmentwill be familiar to you.

Note describing the Mathematics and Statistics computer labs will be available from

www.maths.unsw.edu.au/currentstudents/first-year-computing-notes

Remote Access

Two virtual Linux lab machine called sigma and sigma2 (sigma.maths.unsw.edu.au and sigma2.maths.unsw.edu.au)is available for remote access from your own laptop or home computer. Sigma has exactly the samesoftware available as one of the Red-Centre linux lab computers (e.g. Maple, MATLAB, etc.). Touse this service you will need to download and install the NX client which is freely available forWindows, Mac and Linux. Information on how to download and install this software and use it toconnect to sigma is available on UNSW Moodle in the Computing Component folder of MATH1011Alternatively, if you know how, you can use ssh to access sigma.

Please note that because this is a remote service that can be used by many students, you mayfind that sigma is slow to respond or is unavailable, particularly at times of high demand. Henceyou are advised not to rely on sigma at critical times such as close to test deadlines. Using anactual computer in the lab or software, such as Maple, installed on your own computer will usuallybe more reliable.

21

IMPORTANT

Our computers are designed to be left on and you will never need to switch one off.

NEVER SWITCH THE COMPUTER OFF.

If you are really stuck and nothing seems to be working on your keyboard, report this at the HelpDesk.

DO NOT FORGET TO LOGOUT

Code of Conduct

All students are assumed to be aware of the Acceptable Use of UNSW ICT Resources policy, a copyof which is at

https://my.unsw.edu.au/student/resources/ComputingCommunicationRule.html

In addition, the School of Mathematics and Statistics reserves the right to monitor all useof its computer systems, and to share the monitoring results with the relevant law enforcementauthorities. The computing facilities provided by the School of Mathematics and Statistics mustbe used only for tasks related to the mathematics course(s) for which your computing account hasbeen created. Misuse of computers is a serious offence and will be treated as a case of academicmisconduct. This includes damage to or theft of any part of the equipment. A breach of securitywill be treated as a case of serious academic misconduct. Breach of security includes but is notlimited to

• deliberately providing a password to another person (student or otherwise);

• attempting to gain unauthorised access to files within the system (“hacking”);

• deliberately introducing computer viruses;

• copying of assignments (by email or any other means).

Electronic mail (email) facilities are provided by the University so that you can communicate withlecturers and tutors. All use of email is monitored and action will be taken against anyone whomakes excessive use of email or uses it to send annoying, obscene, sexist or racist messages to otherusers or to engage in academic misconduct. Internet and other electronic communication servicesare provided to allow you to access our computers from other parts of the campus and from homeand to transfer assignments which have been completed on other computers. These services areNOT provided so that you can access other computers to play games or indulge in other activitiesnot related to university studies. All electronic communications using the School’s facilities aremonitored to ensure that these facilities are being used in a responsible manner. Likewise, the diskspace allocated to your account should be used only for keeping files related to your course, andthe system administrator may remove any files which are not associated with University work.

These restrictions are imposed because computing resources are limited and there are thousandsof other users of the system (over 4000 students with logins for the Red Centre labs). We all haveto live and work together and you are expected to be considerate to other users. This is the bottomline when it comes to acceptable behaviour. If you have any doubts about whether an action isacceptable, don’t do it.

Do not tell anyone else your zPass.

22

Health and Safety Issues

Students should be aware that using a keyboard or performing any repetitive task for a longuninterupted period may be associated with physical discomfort and/or muscular or other injury.To lessen the risk of such problems, a break from typing should be taken at regular intervals, agood body position adopted, wrists should be kept straight as much as possible and not rested ona sharp edge.

If you feel pain, numbness, tingling, weakness, cramping, or stiffness in your hands, wrists,arms, shoulder, neck, or back, see a qualified health professional. For further information contactthe School of Mathematics and Statistics General Office.

Maple is a registered trademark of Waterloo Maple Inc.

Microsoft Windows is a registered trademark of the Microsoft Corporation.

23

SOME BASIC FORMULAS

θ 0 π6

π4

π3

π2 π 3π

2 2πin radians

θ 0 30 45 60 90 180 270 360in degrees

sin θ 0 12

1√2

√32 1 0 −1 0

cos θ 1√32

1√2

12 0 −1 0 1

tan θ 0 1√3

1√

3 ∞ 0 ∞ 0

Basic Identities

cos2 x+ sin2 x = 1

1 + tan2 x = sec2 x

1 + cot2 x = cosec2x

tan x =sin x

cos x

Addition and Subtraction Laws

cos(A+B) = cos A cos B − sin A sin B

cos(A−B) = cos A cos B + sin A sin B

sin(A+B) = sin A cos B + cos A sin B

sin(A−B) = sin A cos B − cos A sin B

tan(A+B) =tan A+ tan B

1− tan A tan B

Double Angle Formulae

cos 2A = 2 cos2A− 1 = 1− 2 sin2A

sin 2A = 2 sin A cos A

tan 2A =2 tan A

1− tan2A

24

SOME GREEK CHARACTERS

Listed below are the greek characters most commonly used in mathematics.

NameLower

case

Upper

caseName

Lower

case

Upper

case

Alpha α Nu ν

Beta β Xi ξ

Gamma γ Γ Pi π Π

Delta δ ∆ Rho ρ

Epsilon ε Sigma σ Σ

Zeta ζ Tau τ

Eta η Phi ϕ or φ Φ

Theta θ Θ Chi χ

Kappa κ Psi ψ Ψ

Lambda λ Λ Omega ω Ω

Mu µ

25

BASIC INTEGRALS∫1

xdx = ln |x|+ C = ln |kx|, C = ln k∫

eax dx =1

aeax + C∫

ax dx =1

ln aax + C, a 6= 1∫

sin ax dx = −1

acos ax+ C∫

cos ax dx =1

asin ax+ C∫

sec2 ax dx =1

atan ax+ C∫

cosec2ax dx = −1

acot ax+ C∫

tan ax dx =1

aln | sec ax|+ C∫

cot ax dx =1

aln | sin ax|+ C∫

sec ax dx =1

aln | sec ax+ tan ax|+ C∫

sinh ax dx =1

acosh ax+ C∫

cosh ax dx =1

asinh ax+ C∫

sech2ax dx =1

atanh ax+ C∫

cosech2ax dx = −1

acoth ax+ C∫

dx

a2 + x2=

1

atan−1

x

a+ C∫

dx

a2 − x2=

1

atanh−1

x

a+ C, |x| < a

= 1a coth−1 xa + C, |x| > a > 0

=1

2aln

∣∣∣∣a+ x

a− x

∣∣∣∣+ C, x2 6= a2∫dx√a2 − x2

= sin−1x

a+ C∫

dx√x2 + a2

= sinh−1x

a+ C∫

dx√x2 − a2

= cosh−1x

a+ C, x > a > 0

26