MATH1131 Mathemati s 1A

INFORMATION BOOKLET

Semester 2 2015

Copyright 2015 S hool of Mathemati s and Statisti s, UNSW

1

CONTENTS OF THE

MATH1131 COURSE PACK 2015

Your ourse pa k should ontain the following �ve items:

1. Information Booklet

Information on administrative matters, le tures, tutorials, assessment, syllabuses,

lass tests, omputing, spe ial onsideration and additional assessment

2. Algebra Notes

3. Cal ulus Notes

4. Past Exam Papers Booklet

5. First Year Maple Notes

Information booklet ontents

General Information 3

Assumed Knowledge and the Assumed Knowledge Quiz . . . . . . . . . . . . . . . . . 3

Conta ting the Student Servi es OÆ e . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Le tures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Tutorials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

UNSW Moodle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Assessment 5

Assessment overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Online Algebra and Cal ulus tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

Class tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Maple Online tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

Maple Laboratory Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

End of Semester Examination . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Cal ulator Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Course Materials 10

Course Pa k . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Textbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

Online Self-Pa ed Maple Lessons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Getting help outside tutorials 11

Sta� onsultations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Student Support S heme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Maple Lab Consultants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Further Information 12

Graduate Attributes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

A ademi mis ondu t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Illness and other problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

Change of enrolment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

S hool of Mathemati s and Statisti s Poli ies . . . . . . . . . . . . . . . . . . . . . . 13

Summer session MATH1231 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

2

Course improvement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Course Aims . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

Learning Out omes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

Getting advi e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

Conditions for spe ial onsideration 15

University statement on plagiarism 17

Algebra 18

Syllabus for MATH1131 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18

Problem s hedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

Test s hedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Cal ulus 22

Syllabus for MATH1131 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

Problem s hedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

Test s hedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

Computing information 25

Computing lab . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

Remote A ess . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

How to start . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

Computing syllabus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

Spe ial onsideration for the laboratory test . . . . . . . . . . . . . . . . . . . . . . . 27

Poli y on student-owned omputers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

Table of Greek hara ters 29

3

GENERAL INFORMATION FOR

MATH1131

Ba kground

MATH1131, Mathemati s 1A is a �rst year ourse taught by the S hool of Mathemati s and

Statisti s in semester 2, and is worth six units of redit.

MATH1131 is also taught in semester 1.

The higher version of this ourse, MATH1141, is not o�ered in Semester 2.

Students who pass MATH1131 in semester 2 may ontinue to study MATH1231, Mathemati s

1B, in Summer Session.

MATH1131 and MATH1231 (or MATH1141 and MATH1241) are generally spe i�ed in En-

gineering programs, as well as many S ien e programs.

Students an only ount one of MATH1131 and MATH1141 towards their degree. The ex-

luded ourses for MATH1131 are:

MATH1011, MATH1031, MATH1141, MATH1151, ECON1202 and ECON2291.

Assumed Knowledge and the Assumed Knowledge Quiz

The assumed knowledge for MATH1131 is a mark of at least 100 on the NSW HSC Mathemati s

Extension 1 ourse. However, students with marks below 120 are advised that they will need

work espe ially ons ientiously. MATH1131 is also an appropriate ourse for those students who

only attempted the NSW HSC Mathemati s ourse and who attained a mark of 90. Students

who attained a mark below 80 on that ourse are likely to �nd MATH1131 to be very diÆ ult.

If you feel after two weeks of semester that MATH1131 is too demanding for you, then you

should seek advi e from the Dire tor of First Year, RC-3073.

There will be an online test on Assumed Knowledge in Weeks 1 and 2. This should

give you some lear indi ation as to how prepared you are for this ourse. Revision problems

for this quiz appear at the beginning of the Cal ulus Notes. You may are to work through

these before attempting the online quiz. Students who only studied 2 Unit Mathemati s at high

s hool and who did not take the Bridging Course will �nd this test diÆ ult sin e it ontains

material from the HSC Extension 1 ourse. There will be some brief notes available on Moodle

to supplement the revision problems and you will need to learn this material independently.

This test will be on Maple TA and ount towards your �nal grade as part of the Online Algebra

and Cal ulus Tests. See the the se tion on Online Algebra and Cal ulus Tests on page 7 for

more details.

Conta ting the Student Servi es OÆ e

The S hool of Mathemati s and Statisti s web-site

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

4

ontains many pages of useful information on mathemati s ourses, s hool poli ies and how to

obtain help, both a ademi and administrative. If you annot �nd the answer to your queries

on the web pages you are wel ome to onta t the Student Servi es OÆ e dire tly.

The �rst year adviser in the Student Servi es OÆ e of the S hool of Mathemati s and Statisti s

is Ms M. Lugton. All administrative enquiries on erning �rst year Mathemati s ourses should

be sent to Ms Lugton, either:

� by email to fy.MathsStats�unsw.edu.au

� by phone to 9385 7011

� or in person in room RC-3088 (between 9am to 12 noon or 2pm to 4pm)

Change of tutorials, due to timetable lashes or work ommitments, permission to take lass

tests outside your s heduled tutorial, advi e on ourse sele tion and other administrative mat-

ters are handled in the Student Servi es OÆ e. Constru tive omments on ourse improvment

may also be emailed to the Dire tor of First Year. Should we need to onta t you, we will use

your oÆ ial UNSW email address of

zSTUDENTNO�student.unsw.edu.au

in the �rst instan e.

Le tures

There are two le ture streams for MATH1131. Ea h stream has two algebra le tures and two

al ulus le tures per week.

Le tures ommen e in week 1 and run until week 12 as indi ated in your timetable on myUNSW.

Please see your myUNSW timetable for times and lo ations. It is important to note that:

� If your timetable requires it, it is possible to take the algebra le tures from

one group and the al ulus le tures from another group, but it is not possible

to mix al ulus le tures from two di�erent groups or algebra le tures from two di�erent

groups (be ause the le ture groups do not keep exa tly in step with ea h other).

� Important announ ements and handouts may be given out in le tures, so missing le tures

(or even arriving late) may ause signi� ant diÆ ulties for you.

The le turers for MATH1131 are:

Algebra Dr. Jonathan Kress, Room 4102, Red Centre.

Algebra Milan Pahor, Room 3091, Red Centre.

Cal ulus Dr. Pinhas Grossman, Room 6112, Red Centre.

Cal ulus Dr. Bill Ellis.

The ourse authority for MATH1131 is the A ting Dire tor of First Year Studies, Dr. Jonathan

Kress, who an be onta ted via email (j.kress�unsw.edu.au).

The le turer in harge of omputing is Dr Jonathan Kress, Room 4102 in the Red Centre.

Important announ ements and handouts may be given out in le tures, so missing le tures (or

even arriving late) may ause signi� ant diÆ ulties for you.

5

Tutorials

Students in MATH1131 are enrolled in two tutorials, one for algebra and one for al ulus.

The algebra tutorial is timetabled for the se ond half of the week, whilst the al ulus tutorial

is s heduled for the �rst half of the week. Students are able to hange their tutorials, via

myUNSW, until the end of week 1, and after that time, they an only hange their tutorials

with the agreement of the Student Servi es OÆ e, RC-3088. To hange a tutorial you will need

to provide proof of a timetable lash or work ommitments.

Note that

� ALL tutorials ommen e in week 2 and run until week 13;

� attendan e at tutorials is ompulsory and the roll will be alled in tutorials;

� some tutorial lasses may have to be amalgamated or reated after the start of semester

to maintain eÆ ient tutorial sizes. If you are a�e ted by any tutorial room hanges you

will be noti�ed by an email to your oÆ ial UNSW email a ount. During week 1 and 2

it is good pra ti e to he k your timetable regularly on myUNSW.

UNSW Moodle

The S hool of Mathemati s and Statisti s makes extensive use of the entrally provided ele -

troni learning environment known as \UNSW Moodle".

The URL for UNSW Moodle is

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.

ASSESSMENT

Assessment overview

The �nal raw mark will be made up as follows:

Algebra and Cal ulus lass tests 20%

Online Algebra and Cal ulus tests 4%

Online Computing tests (Maple) 4%

Laboratory Computing test (Maple) 8%

End of semester exam 64%

Le tures run in weeks 1{12 and tutorials run weeks 2{13. The table below gives the s hedule

of lass tests, the assumed knowledge quiz (AKQ), online tutorial preparation (TP) tests and

Maple omputing assessments. For pre ise deadlines see the relevant se tions below.

6

Week Algebra Cal ulus Maple Computing

1

2

3 AKQ AKQ

4 TP1

5 Class Test 1 Online tests 1, 2 and 3 due

6 TP2, Class Test 1

7 Online tests 4 and 5 due

8 TP3

9 Class Test 2

Mid-semester break

10 Test in Laboratory (Friday)

11 Test in Laboratory (Monday)

12 TP4, Class Test 2

13

End of semester examination | he k UNSW

exam timetables for details

Note that:

� You will not be allowed to take a al ulator into lass tests.

� Tutors are expe ted to enter lass test marks into the S hool's database within a fortnight

of the test being sat. These marks are then available to you through the Student Web

Portal a essed via the \Maths and stats marks" link on the home page of MATH1131

on the UNSW Moodle server.

It is your responsibility to he k that these marks are orre t and you should keep

marked tests until the end of semester in ase an error has been made in re ording

the marks. If there is an error, either speak to your tutor or bring your test paper to

the Student Servi es OÆ e as soon as possible but no later than the date of the �nal

examination.

� On e the UNSW examinations se tion �nalises the examination timetable, you will be

able to �nd out the time and pla e of the MATH1131 examination from myUNSW. The

web page

https://student.unsw.edu.au/exams

has many useful links related to the running of UNSW examinations.

� Be aware that a �nal mark of 49 often means that the ourse has been failed and

has to be repeated. Therefore, it is very important that you attempt all assessment

tasks.

� If your �nal mark is in the range 46{49 then you may be awarded the grade of \Pass

Con eded" (PC) provided your average mark for all your ourses is suÆ iently high. This

de ision is not made by the S hool of Mathemati s and Statisti s. The rules governing

the granting of the grade of PC are on the web page

7

https://student.unsw.edu.au/grades

� Medi al erti� ates will generally not be a epted for missing the deadlines

for the online tests.

Online Algebra and Cal ulus tests

Online tests in this ourse are onduted using a web based system alled Maple TA. Detailed in-

stru tions for a essing and using Maple TA are provided on UNSWMoodle. Before attempting

any online tests that ount for marks you must omplete two simple tests alled \De laration"

and \Using Maple TA". The se ond of these is designed to give you some familiarity with Maple

TA. You must pass both of these tests before you will be allowed a ess any online tests that

ount towards you �nal grade. You should aim to omplete these tests in week 1.

The �rst online test that ounts towards your �nal mark is the Assumed Knowledge Quiz

(AKQ). The deadline for this test is given in the table below. See page 3 for more details.

Before ea h algebra and al ulus tutorial lass tests you must omplete an online algebra

or al ulus test as preparation. These tests and their deadlines are shown in the table below.

The best 4 of 5 online algebra and al ulus tests will ount.

Test Available Due

AKQ - Assumed Knowledge Quiz Monday 1pm Wednesday

Week 1 Week 3

TP1 - Math 1A Cal ulus online test 1 2pm Wednesday 4pm Thursday

Week 3 Week 4

TP2 - Math 1A Algebra online test 1 2pm Monday 1pm Tuesday

Week 5 Week 6

TP3 - Math 1A Cal ulus online test 2 2pm Wednesday 4pm Thursday

Week 7 Week 8

TP4 - Math 1A Algebra online test 2 2pm Wednesday 1pm Tuesday

Week 10 Week 12

The material overed by these tests is the same as for the algebra and al ulus lass tests, as

given on page 21 and 24.

You will be allowed 5 attempts at ea h online algebra and al ulus test but only your best

mark for ea h test will ount. Then, the best 4 of the 5 marks from TP1, TP2, TP3, TP4 and

AKQ, will ontribute up to 4% of your �nal grade.

Note:

� the �rst test (AKQ) be omes available on Monday of week 1;

� ea h attempt at these tests must be your own work, but you are en ouraged to dis uss

the methods required with other students;

� ea h version of a test will be slightly di�erent, so don't just opy answers from one attempt

to the next;

� only a limited numbers of users an have simultaneous a ess to Maple TA, so do NOT

leave your attempts at these tests to the last day;

� no additional attempts will be granted. You have 5 attempts at these tests to allow

for te hni al or other problems that may result in one or more attempts being lost;

8

� no deadline extensions will be granted. You should attempt these tests with suÆ-

ient remaining time to allow for unplanned servi e interuptions.

Class tests

Details of the dates and ontent of tests are given on pages 21 and 24 of this booklet.

Sample opies of the tests are in luded in the Algebra and Cal ulus Notes.

Note that

� YouMUST be enrolled in an Algebra tutorial and a Cal ulus tutorial and YOU MUST

TAKE EACH TEST IN THE TUTORIAL TO WHICH YOU HAVE BEEN

OFFICIALLY ALLOCATED.

� To ea h test you must bring

{ your Student ID ard

{ some blank A4 writing paper

{ a stapler (so that you an staple a over sheet to your answers).

� You will not be allowed to use a al ulator in lass tests.

� Your best three s ores in the four tests will be ounted towards your �nal assessment

mark.

Maple Online tests

There will be two di�erent forms of omputing tests. An initial set of �ve small online tests

will be run using Maple TA, followed by a laboratory based test in week 10 or 11. The online

tests may be ompleted on any suitable web browser in your own time, but as the Maple

pa kage will be needed to answer the questions, the S hool omputing labs are probably the

best pla e to attempt the tests. These online Maple omputing tests should be attempted after

ompleting the orresponding self-pa ed Maple lesson in UNSW Moodle. Details on using and

a essing Maple TA for online tests are on UNSW Moodle. The deadlines for these tests are

given below. After a test's deadline a \revision only" version of the test, that does not ount

towards your �nal mark, will be ome available. These online Maple omputing tests must be

passed in sequen e. For example, you must pass \Maple Online Test 1" or \Maple Online Test

1 (revision only)" to gain a ess to \Maple Online Test 2" and \Maple Online Test 2 (revision

only)".

You will have an unlimited number of attempts at these online omputing tests. Note

that it is only your best mark on ea h test that ounts towards your �nal grade. Again, do

NOT leave your attempts at these online tests until the last day. Inability to omplete these

online tests due to ongestion in the s hool omputing labs or in Maple TA on the last day will

NOT be a epted as an ex use for missing the deadlines.

Tests Due to be ompleted by

1, 2 and 3 4pm Wednesday of week 5

4 and 5 4pm Wednesday of week 7

The additional Maple lessons 6 and 7 are designed to assist you with preparation for the Maple

laboratory test in week 10 or 11. There are online tests within Maple TA orresponding to

lessons 6 and 7, but these do not ount towards your MATH1131 assessment and are for self-

testing purposes only.

9

Maple Laboratory Test

The se ond form of omputing test will be run under exam onditions in the Red-Centre

omputer lab G012 at various times during week 10 or 11. To take this test you must make

a booking using the \Maple Lab Test booking" link on Moodle that will be available no later

than week 8 of semester. You must bring your UNSW Student ID ard to the test.

All omputing tests are linked to the Algebra and Cal ulus material, so you should make

sure you understand the ourse work before trying them. Finally, the end of semester exam

may ontain one or two sub-questions requiring a knowledge of Maple.

The test will be on the features of Maple whi h are overed in Chapter 1 and se tions 2.1

to 2.11 of the First Year Maple Notes 2015.

You will NOT need to remember the exa t syntax of ea h ommand be ause you will have

a ess to the following resour es during the test:

� a printed paper opy of the First Year Maple Notes,

� a PDF ele troni opy of the First Year Maple Notes,

� the self-pa ed lessons from Moodle and

� Maple's in built help pages.

You will not have a ess to the internet during the test and are NOT allowed to bring any

al ulators, notes or writing materials (pens, pen ils, paper) into the test.

All of the possible test problems are provided in your usual Maple TA lass in a test alled

\Maple Lab Test questions". There you will also �nd a pra ti e version of the Maple Lab Test.

The pra ti e version is exa tly the same as athe a tual Maple Lab Test, however, ea h attempt

at the pra ti e or a tual Maple Lab Test will have a di�erent random sele tion of questions.

You are allowed an unlimited number of attempts at the pra ti e tests.

Be ause you are allowed unlimited pra ti e at the a tual test questions and you an view

your results for these tests in the Maple TA gradebook, you are expe ted to have worked out

exa tly how to answer the questions before you attend the test.

End of Semester Examination

The largest omponent of assessment in MATH1131 is the end of semester examination whi h

overs material from the whole of the algebra, al ulus and omputing (Maple) syllabuses. The

exam is arranged and ondu ted entrally. You will �nd the time and lo ation of your exams

on myUNSW towards the end of the semester. General information on examinations at UNSW

an be found at

https://student.unsw.edu.au/exams

The best guide to the style and level of diÆ ulty of the �nal exam is the past exam papers.

The ourse pa k ontains a book of past exam papers with worked solutions. To see the exam

form of the past exam papers, in luding the instru tions on the front over and the table of

integrals that is provided, sear h for \MATH1131" on the library website.

Important information on spe ial onsideration for the �nal exam an be found on page 15.

10

Cal ulator Information

For end of semester UNSW exams students must supply their own al ulator. Only al ulators

on the UNSW list of approved al ulators may be used in the end of semester exams. This list

is similar to the list of al ulators approved for HSC examinations.

BEFORE the exam period al ulators must be given a \UNSW approved" sti ker, obtain-

able from the S hool of Mathemati s and Statisti s OÆ e, and other student or Fa ulty entres.

The UNSW list of al ulators approved for use in end of semester exams is available at

https://student.unsw.edu.au/exams

COURSE MATERIALS

The ourse materials onsist of the ourse pa k, the textbook and the online self-pa ed

maple lessons. In addition, le turers may provide notes on UNSW Moodle to a ompany their

le tures.

Course Pa k

The Course Pa k ontains the following items:

� Information Booklet that you are now reading;

� Algebra Notes (for MATH1131);

� Cal ulus Notes (for MATH1131);

� Past Exam Papers Booklet

� First Year Maple Notes.

Course Pa ks and omputing notes are also sold through the UNSW Bookshop.

Textbook

S.L. Salas, E. Hille and G.J. Etgen, Cal ulus - One and Several Variables, any re ent edi-

tion, Wiley.

The latest edition of the textbook, Salas, Hille and Etgen Cal ulus - One and Several Variables,

10th Edition omes pa kaged with a ess to the ele troni resour es known as WileyPlus. This

ele troni version provides internet a ess to the textbook, problems, worked solutions, tests

(for self-assessment) and other ele troni resour es related to the text material. The pur hase

of the text from the UNSW Bookshop gives web a ess to the WileyPlus server for one year;

it is possible to renew the web a ess on a yearly basis at a fee determined by the publisher.

It is also possible to pur hase just the web a ess to the ele troni version of the textbook for

one year. This an also be done at the UNSW Bookshop. Note that these WileyPlus ele troni

resour es are provided by the publisher John Wiley, and not by the S hool of Mathemati s

and Statisti s. Any diÆ ulties that you might have with a ess to WileyPlus must be resolved

dire tly with the publisher.

Salas, Hille & Etgen is sold at the UNSW Bookshop.

11

Online Self-Pa ed Maple Lessons

In addition to the Cal ulus and Algebra omponents, there is a Computing omponent in

MATH1131. This is partly interwoven with the Cal ulus and Algebra omponents and partly

independent of them. To assist in the self-dire ted learning of this omponent of the ourse,

online self-pa ed Maple lessons are available in UNSW Moodle. These lessons guide students

through the omputing omponent of this ourse and are integrated with, and enhan e the

le ture and tutorial ontent presented in Cal ulus and Algebra.

There will be introdu tory instru tional videos available in UNSW Moodle.

Students are then expe ted to work through and omplete the spe i�ed online lessons as

detailed on page 8. Asso iated with ea h lesson is a graded quiz and the ompleted quizzes

ontribute 4% to the �nal grade. These lessons are integrated with, and enhan e the le ture

and tutorial ontent presented in Cal ulus and Algebra. Learning ontent will be a essible at

all times for learning and revision, but the online assessments will only be available for redit

until the published deadlines, given on page 8.

More information on the Computing omponent is given later in this booklet and in the

First Year Maple Notes 2015 that are in the ourse pa k and available from UNSW Moodle.

GETTING HELP OUTSIDE TUTORIALS

Sta� onsultations

From week 3 there will be a roster whi h shows for ea h hour of the week a list of names of

members of sta� who are available at that time to help students in �rst year mathemati s

ourses. This roster is displayed on the same noti eboard as timetables, near the S hool OÆ e

(Room 3070, Red Centre). It is also available from the web page

http://www.maths.unsw.edu.au/ urrentstudents/ onsultation-mathemati s-staff

You an also avail yourself of the Student Support S heme. This S heme is �nan ed by

the S hool of Mathemati s and Statisti s and is sta�ed by later year mathemati s students.

Student Support S heme

The Student Support S heme (SSS) is a drop-in onsultation entre where students an ome

for free help with ertain �rst- and se ond-year mathemati s ourses. The SSS oÆ e is lo ated

inRC-3064. During semester the SSS has opening times from 10am{12noon and 1pm{3pm

from Mondays to Fridays. The s hedule will be available on the SSS website at

http://www.maths.unsw.edu.au/ urrentstudents/student-support-s heme

by the end of Week 1. Please remember that there is no appointment needed. Just drop-in and

you will be able to obtain one-on-one help from SSS tutors.

Maple Lab Consultants

For help with the Maple omputing omponent of this ourse, onsultants will be available in

the Red-Centre lab RC-G012B from 11am to 4pm ea h tea hing day in weeks 1 to 9. For more

details see

http://www.maths.unsw.edu.au/ urrentstudents/maple-lab- onsultants

12

FURTHER INFORMATION

Graduate Attributes

This ourse will provide you with an in-depth knowledge of topi s in Cal ulus and Linear Alge-

bra, and show, through the le tures, how this mathemati s an be applied in interdis iplinary

ontexts. Your skills in analyti al riti al thinking and problem solving will improve be ause

of the illustrative examples used in le tures and be ause of the problem based tutorial lasses.

These mathemati al problem solving skills, whi h are based on logi al arguments and spe i�

te hniques, are generi problem solving skills that an be applied in multidis iplinary work.

The ourse will also engage you in independent and re e tive learning through your indepen-

dent mastery of tutorial problems and the Maple omputing pa kage. You will be en ouraged

to develop your ommuni ation skills through a tive parti ipation in tutorials, and by writing

lear, logi al arguments when solving problems.

A ademi mis ondu t

It is very important that you understand the University's Rules for the ondu t of Examina-

tions and the penalties for A ademi Mis ondu t. This information an be a essed through

myUNSW at:

https://student.unsw.edu.au/exams.

Illness and other problems

If your performan e in this ourse is a�e ted by illness or other serious diÆ ulties whi h are

beyond your ontrol, you an apply for Spe ial Consideration and you may be o�ered the

opportunity for Additional Assessment. See also the sub-se tion Getting advi e on page 14.

PLEASE DO NOT APPLY ONLINE FOR SPECIAL CONSIDERATION FOR

CLASS TESTS OR ONLINE TESTS. If you are ill for a test, bring the ne essary do u-

mentation to your tutor in the following tutorial or as soon as pra ti able thereafter. In regard

to the S hool of Mathemati s and Statisti s the online system is only for long-term illness or

illness at the time of the �nal examination.

In order to be o�ered Additional Assessment it is essential that you follow exa tly the

pro edures set out in the do ument entitled \Appli ation for Spe ial Consideration

in MATH1131 Semester 2 2015." A opy of this do ument is in luded in this booklet on

page 15. Take parti ular note that

� The S hool will NOT onta t you to tell you that you have been granted Additional

Assessment. It is YOUR RESPONSIBILITY to �nd this out by following the in-

stru tions in the do ument mentioned above.

� If you have a poor re ord of attendan e or performan e during the semester

you may be failed regardless of illness or ompassionate grounds a�e ting the

�nal exam. In parti ular if you do not have at least 40% pre-exam mark, you

will not be granted a deferred examination.

Note also that

13

� If illness a�e ts your attendan e at or performan e in a lass test, do not make an

appli ation for Spe ial Consideration. Simply show the original medi al erti� ate to

your tutor and also give a opy of the medi al erti� ate to your tutor. This information

will be taken into a ount when al ulating your �nal assessment mark.

� Transport delays and oversleeping will not be a epted as reasons for missing lass tests.

(But note that only your best three test results are ounted for assessment.)

� Information on what to do if you miss the Maple Laboratory Test due to illness is given

on page 27.

� If you arrive too late to be admitted to the end of semester exam, go immediately to

the Mathemati s and Statisti s Student Servi es OÆ e, Room 3088, Red Centre.

Change of enrolment

You may feel, after some weeks of semester have passed, that you have not made the right

hoi e between Mathemati s 1 and Fundamentals of Mathemati s B. If so, you should dis uss

the situation with your tutors or with me (Dire tor of First Year Studies in Mathemati s, Room

3073, Red Centre).

Changes between the levels of �rst year Mathemati s an be made without penalty up to

the ensus date, whi h is Wednesday, 31st August.

S hool of Mathemati s and Statisti s Poli ies

Students in ourses run by the S hool of Mathemati s and Statisti s should be aware of the

S hool and Course poli ies by reading the appropriate pages on the MathsStats web site starting

at:

http://www.maths.unsw.edu.au/ urrentstudents/assessment-poli ies

The S hool of Mathemati s and Statisti s will assume that all its students have read and

understood the S hool poli ies on the above pages and any individual ourse poli ies on the

Course Initial Handout and Course Home Page. La k of knowledge about a poli y will not be

an ex use for failing to follow the pro edures in it.

Summer session MATH1231

Summer session MATH1231 ommen es on Monday 1st De ember.

If MATH1231 is ompulsory for your program and you wish to omplete your degree in

minimum time, you are advised to enrol before the end of semester 2 in summer session

MATH1231.

Course improvement

The S hool of Mathemati s and Statisti s has several me hanisms in pla e for regular review and

improvement of First Year ourses. One omponent of the review pro ess is student feedba k,

generated either by the CATEI surveys or by dire t onta t from individual students or groups

of students.

14

Course Aims

The aim of MATH1131 is that by the time you �nish the ourse you should understand the

on epts and te hniques overed by the syllabus and have developed skills in applying those

on epts and te hniques to the solution of appropriate problems. Su essful ompletion of this

ourse, together with the summer session ourse MATH1231, should mean that you will be

well equipped both te hni ally and psy hologi ally to ope with the mathemati s that you will

meet in the later years of your program. It is also expe ted that students will be able to

use the symboli omputing pa kage Maple as an aid to solve problems that were generally

ina essible just a generation ago.

Learning Out omes

A student should be able to:

� state de�nitions as spe i�ed in the syllabus,

� state and prove appropriate theorems,

� explain how a theorem relates to spe i� examples,

� apply the on epts and te hniques of the syllabus to solve appropriate problems,

� prove spe i� and general results given spe i�ed assumptions,

� use mathemati al and other terminology appropriately to ommuni ate information and

understanding,

� use the symboli omputing pa kage Maple as an aid to solve appropriate problems.

Getting advi e

Your Algebra and Cal ulus tutors should be able to give you most of the advi e you need on

mathemati al and administrative matters on erning MATH1131. If they annot help you, try

your le turers (their names and room numbers are shown on page 4 of this booklet). If your

problems are more serious, or haven't been resolved to your satisfa tion, ome to see me (Peter

Brown) in Room 3073, Red Centre. I am happy to see you.

If you have general study problems or personal problems, don't just hope that they will go

away | take advantage of the free and on�dential help whi h is available within the university.

The Learning Centre ( urrently on the lower ground oor of the north wing of the Chan ellery

Building) provides individual onsultations and workshops on study skills, time management,

stress management, English language, et . The Counselling Servi e (2nd Floor, East Wing,

Quadrangle Building) o�ers the opportunity to dis uss any issue whi h on erns you in luding

a ademi problems, personal relationships, administrative hassles, vo ational un ertainty, sex-

ual identity and �nan ial hardship. For more details, see the Student Information web page,

available from the home page of myUNSW.

Peter Brown

Dire tor of First Year Studies

S hool of Mathemati s and Statisti s

fy.MathsStats�unsw.edu.au

15

APPLICATIONS FOR SPECIAL CONSIDERATION IN

MATH1131 SEMESTER 2 2015

If you feel that your performan e in, or attendan e at, a �nal examination has been a�e ted by illness

or ir umstan es beyond your ontrol, or if you missed the examination be ause of illness or other

ompelling reasons, you may apply for spe ial onsideration. Su h an appli ation may lead to the

granting of additional assessment.

It is essential that you take note of the rules 1, 2, 5 and 6, whi h apply to appli ations

for spe ial onsideration in all �rst year Mathemati s ourses. Rules 3 and 4 apply to

the above ourses only.

1. Within 3 days of the a�e ted examination, or at least as soon as possible, you must submit

a request for spe ial onsideration to UNSW Student Central ON-LINE.

Please refer to link below for How to Apply for Spe ial Consideration,

https://student.unsw.edu.au/spe ial- onsideration

2. Please do not expe t an immediate response from the S hool. All appli ations will be

onsidered together. See the information below.

3. If you miss a lass test due to illness or other problems, then you should provide the appro-

priate do umentation to your tutor who will re ord an M. DO NOT apply on-line for spe ial

onsideration for lass tests or for on-line or omputing tests.

4. If your ourse involves a MAPLE/MATLAB lab test whi h you miss, you should onta t the

le turer in harge of omputing as soon as possible. A resit will be organised for later in the

session.

5. You will NOT be granted additional assessment in a ourse if your performan e in

the ourse (judged by attendan e, lass tests, assignments and examinations) does not meet

a minimal standard. A total mark of greater than 40% on all assessment not a�e ted by a

request for spe ial onsideration will normally be regarded as the minimal standard for award

of additional assessment.

6. It isYOUR RESPONSIBILITY to �nd out FROM THE SCHOOL OF MATHEMAT-

ICS AND STATISTICS whether you have been granted additional assessment and when and

where the additional assessment examinations will be held. Do NOT wait to re eive oÆ-

ial results from the university, as these results are not normally available until after the

Mathemati s additional assessment exams have started. Information about award of additional

assessment is available from the S hool of Mathemati s and Statisti s in the following ways:

a) A provisional list of results in all Mathemati s ourses and and �nal list of grants of

additional assessment will be available via the \Maths and stats marks)" link in the UNSW

Moodle module for your ourse late on Thursday 26th November.

b) OnMonday 30th November ONLY, you may telephone the S hool OÆ e (9385 7111)

to �nd out whether you have been granted additional assessment and where and when it

will be held. Note that examination results will not be given over the phone.

The deferred exam will most likely be on Tuesday 1st De ember.

7. The timetables for the additional assessment examinations will be available on the Mathemati s

website at the same time as the provisional list of results.

The Semester 2 additional assessment examinations for MATH1131 will be announ ed later in

the session.

16

8. If you have two additional assessment examinations s heduled for the same time, please onsult

the S hool of Mathemati s and Statisti s OÆ e as soon as possible so that spe ial arrangements

an be made.

9. You will need to produ e your UNSW Student Card to gain entry to additional assessment

examinations.

IMPORTANT NOTES

� The additional assessment examination may be of a di�erent form from the original examination

and must be expe ted to be at least as diÆ ult.

� If you believe that your appli ation for spe ial onsideration has not been pro essed, you should

immediately onsult the Dire tor of First Year Studies of the S hool of Mathemati s and Statis-

ti s (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 do umentation of the ir umstan es to the Dire tor of First

Year Studies, S hool of Mathemati s and Statisti s, University of New South Wales, Sydney,

2052.

In parti ular, if you su�er from a hroni or ongoing illness that has, or is likely to, put you at a

serious disadvantage then you should onta t the Student Equity and Disabilities Unit (SEADU) who

provide on�dential support and advi e. Their web site is

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

SEADU may determine that your ondition requires spe ial arrangements for assessment tasks. On e

the First Year OÆ e has been noti�ed of these we will make every e�ort to meet the arrangements

spe i�ed by SEADU.

Additionally, if you have su�ered a serious misadventure during semester then you should provide

full do umentation to the Dire tor of First Year Studies as soon as possible. In these ir umstan es

it may be possible to arrange dis ontinuation without failure or to make spe ial examination arrange-

ments.

Professor B. Henry

Head, S hool of Mathemati s and Statisti s

17

UNIVERSITY STATEMENT ON PLAGIARISM

Plagiarism is the presentation of the thoughts or work of another as one's own.

1

Examples in lude:

� dire t dupli ation of the thoughts or work of another, in luding by opying work, or knowingly

permitting it to be opied. This in ludes opying material, ideas or on epts from a book, arti le,

report or other written do ument (whether published or unpublished), omposition, artwork,

design, drawing, ir uitry, omputer program or software, web site, Internet, other ele troni

resour e, or another person's assignment without appropriate a knowledgement

� paraphrasing another person's work with very minor hanges keeping the meaning, form and/or

progression of ideas of the original;

� pie ing together se tions of the work of others into a new whole;

� presenting an assessment item as independent work when it has been produ ed in whole or part

in ollusion with other people, for example, another student or a tutor; and,

� laiming redit for a proportion a work ontributed to a group assessment item that is greater

than that a tually ontributed

2

.

Submitting an assessment item that has already been submitted for a ademi redit elsewhere may

also be onsidered plagiarism.

The in lusion of the thoughts or work of another with attribution appropriate to the a ademi

dis ipline does not amount to plagiarism.

Students are reminded of their Rights and Responsibilities in respe t of plagiarism, as set out in

the University Undergraduate and Postgraduate Handbooks, and are en ouraged to seek advi e from

a ademi sta� whenever ne essary to ensure they avoid plagiarism in all its forms.

The Learning Centre website is the entral University online resour e for sta� and student information

on plagiarism and a ademi honesty. It an be lo ated at:

www.l .unsw.edu.au/plagiarism

The Learning Centre also provides substantial edu ational written materials, workshops, and tu-

torials to aid students, for example, in:

� orre t referen ing pra ti es;

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

� appropriate use of, and attribution for, a range of materials in luding text, images, formulae

and on epts.

Individual assistan e is available on request from The Learning Centre.

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

of the identi�ed auses of plagiarism is poor time management. Students should allow suÆ ient time

for resear h, drafting, and the proper referen ing of sour es in preparing all assessment items.

1

Based on that proposed to the University of New astle by the St James Ethi s Centre. Used with kind

permission from the University of New astle.

2

Adapted with kind permission from the University of Melbourne

18

ALGEBRA SYLLABUS AND LECTURE TIMETABLE

Chapter 1. Introdu tion to Ve tors

Le ture 1. Ve tor quantities and R

n

. (Se tion 1.1, 1.2).

Le ture 2. R

2

and analyti geometry. (Se tion 1.3).

Le ture 3. Points, line segments and lines. Parametri ve tor equations. Parallel lines.(Se tion

1.4).

Le ture 4. Planes. Linear ombinations and the span of two ve tors. Planes though the origin.

Parametri ve tor equations for planes in R

n

: The linear equation form of a plane. (Se tion 1.5).

Chapter 2. Ve tor Geometry

Le ture 5. Length, angles and dot produ t in R

2

, R

3

, R

n

. (Se tions 2.1,2.2).

Le ture 6. Orthogonality and orthonormal basis, proje tion of one ve tor on another. Or-

thonormal basis ve tors. Distan e of a point to a line. (Se tion 2.3).

Le ture 7. Cross produ t: de�nition and arithmeti properties, geometri interpretation of

ross produ t as perpendi ular ve tor and area (Se tion 2.4).

Le ture 8. S alar triple produ ts, determinants and volumes (Se tion 2.5). Equations of

planes in R

3

: the parametri ve tor form, linear equation (Cartesian) form and point-normal

form of equations, the geometri interpretations of the forms and onversions from one form to

another. Distan e of a point to a plane in R

3

. (Se tion 2.6).

Chapter 3. Complex Numbers

Le ture 9. Development of number systems and losure. De�nition of omplex numbers and

of omplex number addition, subtra tion and multipli ation. (Se tions 3.1, 3.2, start Se tion

3.3).

Le ture 10. Division, equality, real and imaginary parts, omplex onjugates. (Finish 3.3,

3.4).

Le ture 11. Argand diagram, polar form, modulus, argument. (Se tions 3.5, 3.6).

Le ture 12. De Moivre's Theorem and Euler's Formula. Arithmeti of polar forms. (Se tion

3.7, 3.7.1).

Le ture 13. Powers and roots of omplex numbers. Binomial theorem and Pas al's triangle.

(Se tions 3.7.2, 3.7.3, start Se tion 3.8).

Le ture 14. Trigonometry and geometry. (Finish 3.8, 3.9).

Le ture 15. Complex polynomials. Fundamental theorem of algebra, fa torization theorem,

fa torization of omplex polynomials of form z

n

� z

0

, real linear and quadrati fa tors of real

polynomials. (Se tion 3.10).

Chapter 4. Linear Equations and Matri es

Le ture 16. Introdu tion to systems of linear equations. Solution of 2� 2 and 2� 3 systems

and geometri al interpretations. (Se tion 4.1).

Le ture 17. Matrix notation. Elementary row operations. (Se tions 4.2, 4.3).

Le ture 18. Solving systems of equations via Gaussian elimination. (Se tion 4.4)

Le ture 19. Dedu ing solubility from row-e helon form. Solving systems with indeterminate

right hand side. (Se tion 4.5, 4.6).

Le ture 20. General properties of solutions to Ax = b. (Se tion 4.7). Appli ations. (Se tion

4.8) or Matrix operations (start Se tion 5.1)

Chapter 5. Matri es

Le ture 21. Operations on matri es. Transposes. (Se tions 5.1, 5.2).

Le ture 22. Inverses and de�nition of determinants. (Se tion 5.3 and start Se tion 5.4).

19

Le ture 23. Properties of determinants. (Se tion 5.4).

ALGEBRA PROBLEM SETS

The Algebra problems are lo ated at the end of ea h hapter of the Algebra Notes booklet.

They are also available from the ourse module on the UNSW Moodle server. The problems

marked [R℄ form a basi set of problems whi h you should try �rst. Problems marked [H℄ are

harder and an be left until you have done the problems marked [R℄ . You do need to make an

attempt at the [H℄ problems be ause problems of this type will o ur on tests and in the exam.

If you have diÆ ulty with the [H℄ problems, ask for help in your tutorial. Questions marked

with a [V℄ have a video solution available from the ourse page for this subje t on Moodle.

The problems marked [X℄ are intended for students in MATH1141 { they relate to topi s whi h

are only overed in MATH1141.

There are a number of questions marked [M℄, indi ating that Maple is required in the

solution of the problem.

20

PROBLEM SCHEDULE

The main purpose of tutorials is to give you an opportunity to get help with problems whi h

you have found diÆ ult and with parts of the le tures or the Algebra Notes whi h you don't

understand. In order to get real bene�t from tutorials, it is essential that you try to do relevant

problems before the tutorial, so that you an �nd out the areas where you need help. The

following table lists the omplete set of problems relevant to ea h tutorial and a suggested

(minimal) set of homework problems for MATH1131 that you should omplete BEFORE the

tutorial. Your tutor will only over these in lass if you have already tried them and were

unable to do them. You may also be asked to present solutions to these homework questions

to the rest of the lass.

Tutors may need to vary a little from this suggested problem s hedule.

MATH1131 WEEKLY SCHEDULE

For tutorial Try to do up to Homework

in week hapter problem Questions

1 No tutorial, but start learning how to use Maple and Maple TA

2 1 30 1,4, 5, 6(a), 16(a), 18, 21

3 1 50 31(d), 33(b), 34(b), 41(b), 41(d), 46

4 2 16 1(b), 3, 8, 9(b)

5 2 37 14(b), 17(b), 25(a), 27(a), 29(a), 30(b)

6 3 17 (Test 1) 1(b), 5, 8( ), 10

7 3 26 18, 21(a)-21(d), 26

8 3 59 27, 28, 31,33(a), 34(a), 40, 41, 51, 54,

9 3 82 60(a), 61(b),68(b), 72

4 11 5,7,10

10 4 24 12(g), 13(b), 14( ), 16(e), 17, 22(a)

11 4 43 26, 27, 31, 40

5 12 1, 7

12 5 19 (Test 2) 13, 15,19(a), 19( )

13 5 53 20, 23, 26, 35, 39

21

CLASS TESTS AND EXAMS

Questions for the lass tests in MATH1131 will be similar to the questions marked [R℄ and [H℄

in the problem sets. Sin e ea h lass test is only twenty or twenty-�ve minutes in length only

shorter straight forward tests of theory and pra ti e will be set. As a guide, see the re ent past

lass test papers (at the end of the Algebra notes).

The following table shows the week in whi h ea h test will be held and the topi s overed.

Topi s overed

Test Week hapter se tions

1 6 1 All

2 Up to and in luding x2.4

2 12 3 All

4 All

Please note that the order of the syllabus has hanged in 2014. The SAMPLE TESTS

ontained in the Algebra Notes are based on this new syllabus, but please be aware that

Sample Tests from previous years may not be relevant.

Examination questions are, by their nature, di�erent from short test questions. They may

test a greater depth of understanding. The questions will be longer, and se tions of the ourse

not overed in the lass tests will be examined. As a guide, see the re ent past exam papers in

the separate past exam papers booklet.

22

CALCULUS SYLLABUS FOR

MATH1131 MATHEMATICS 1A

The Cal ulus textbook is S.L. Salas & E. Hille and G.J. Etgen Cal ulus - One and Several Vari-

ables, any re ent edition, Wiley. Referen es to the 10th and 9th editions are shown as SH10 and

SH9. To improve your understanding of de�nitions, theorems and proofs, the following book

is re ommended: Introdu tion to Proofs in Mathemati s, J. Franklin & A. Daoud, Prenti e-Hall.

In this syllabus the referen es to the textbook are not intended as a de�nition of what you

will be expe ted to know. They are just a guide to �nding relevant material. Some parts of the

ourse are not overed in the textbook and some parts of the textbook (even in the se tions

mentioned in the referen es below) are not in luded in the ourse. The s ope of the ourse is

de�ned by the ontent of the le tures and problem sheets. The approximate le ture time for

ea h se tion is given below. Referen es to the 9th and 10th editions of Salas & Hille are shown

as SH9 and SH10.

SH10 SH9

1. Sets, inequalities and fun tions. (2.5 hours)

N ;Z;Q ;R : Open and losed intervals. Inequalities. 1.2, 1.3 1.2, 1.3

Fun tions: sums, produ ts, quotients omposites.

Polynomials, rational fun tions, trig fun tions as

examples of ontinuous fun tions.

Impli itly de�ned fun tions. 1.6-1.7 1.6-1.7

2. Limits. (2 hours)

Informal de�nition of limit as x! a (a �nite). 2.1, 2.2 2.1, 2.2

Formal de�nition of limit as x!1. pp177-178 pp222-224

pp195-198 pp243-246

Limit rules. The pin hing theorem. 2.3, 2.5 2.3, 2.5

3. Properties of ontinuous fun tions. (1.5 hours)

Combinations of ontinuous fun tions. 2.4 2.4

Intermediate value and min-max theorems. 2.6, B1, B2 2.6, B1, B2

Relative and absolute maxima and minima. 4.3-4.5 4.3-4.5

4. Di�erentiable fun tions. (2 hours)

De�nition of derivative via tangents. 3.1 3.1

Derivatives of sums, produ ts, quotients and

omposites. Rates of hange. Higher derivatives. 3.2-3.5 3.2-3.5

Derivatives of polynomial, rational and trig fun tions. 3.5,3.6 3.5,3.6

Impli it di�erentiation, fra tional powers. 3.7 3.7

5. The mean value theorem and appli ations. (2 hours)

Mean value theorem and appli ations. 4.1, 4.2 4.1, 4.2

L'Hopital's rule. 11.5, 11.6, 10.5, 10.6

23

SH10 SH9

6. Inverse fun tions. (1.5 hours)

Domain, range, inverse fun tions,

the inverse fun tion theorem. 7.1, B3 7.1, B3

Inverse trig fun tions, their derivatives and graphs. 7.7 7.7

7. Curve sket hing. (3 hours)

Use of domain, range, inter epts, asymptotes,

even or odd, al ulus. 4.7, 4.8 4.7, 4.8

Parametri ally de�ned urves.

Relation between polar and Cartesian oordinates. 10.2 9.3

Sket hing urves in polar oordinates. 10.3 9.4

8. Integration. (5 hours)

Riemann sums, the de�nite integral and its

algebrai properties. 5.1, B5 5.1, B5

Inde�nite integrals, primitives and the

two fundamental theorems of al ulus. 5.2-5.5 5.2-5.5

Integration by substitution and by parts. 5.6, 8.2 5.6, 8.2

Integrals on unbounded domains, limit form of

omparison test. 11.7 10.7

9. Logarithms and exponentials. (2 hours)

ln as primitive of 1=x, basi properties,

logarithmi di�erentiation. 7.2, 7.3 7.2, 7.3

Exponential fun tion as inverse of ln, basi properties.

a

x

, logs to other bases. 7.4-7.6 7.4-7.6

10. Hyperboli fun tions (1.5 hours)

De�nitions, identities, derivatives, integrals

and graphs. 7.8 7.8

Inverse hyperboli fun tions. 7.9 7.9

Integrals involving hyperboli or trig substitution.

11. Review. (1 hour)

24

PROBLEM SETS

The Cal ulus problems are lo ated at the end of ea h hapter of the Cal ulus Notes booklet.

They are also available from the ourse module on the UNSW Moodle server. Some of the

problems are very easy, some are less easy but still routine and some are quite hard. To help

you de ide whi h problems to try �rst, ea h problem is marked with an [R℄, an [H℄ or an [X℄.

The problems marked [R℄ form a basi set of problems whi h you should try �rst. Problems

marked [H℄ are harder and an be left until you have done the problems marked [R℄. Problems

marked [V℄ have a video solution available on Moodle.

You do need to make an attempt at the [H℄ problems be ause problems of this type will

o ur on tests and in the exam. If you have diÆ ulty with the [H℄ problems, ask for help in

your tutorial. The problems marked [X℄ are intended for students in MATH1141 { they relate

to topi s whi h are only overed in MATH1141.

Remember that working through a wide range of problems is the key to su ess in mathe-

mati s.

MATH1131 WEEKLY SCHEDULE

The main reason for having tutorials is to give you a han e to get help with problems whi h

you �nd diÆ ult and with parts of the le tures or textbook whi h you don't understand. To

get real bene�t from tutorials, you need to try the relevant problems before the tutorial so that

you an �nd out the areas in whi h you need help. The following table lists the omplete set

of problems relevant to ea h tutorial and a suggested (minimal) set of homework problems for

MATH1131 that you should omplete BEFORE the tutorial. Your tutor will only over these

in lass if you have already tried them and were unable to do them. You may also be asked

to present solutions to these homework questions to the rest of the lass. Tutors may need to

vary a little from this suggested problem s hedule.

CLASS TESTS AND EXAMS

The tests will take pla e in tutorials in the following weeks:

Test 1 Week 5.

Test 2 Week 9.

Test 1 and Test 2 will over se tions of the syllabus as shown in the table below. The test

questions will be similar to the questions marked [R℄ and [H℄ in the Cal ulus Problems booklet.

Test Syllabus se tions [R℄ and [H℄ problems in

1 1, 2 and 3 Chapters 1{3

2 4, 5 and 6 Chapters 4{6

It is important to note that:

� The lass tests do not over the whole syllabus.

� Questions in the exams may be very di�erent from those in the lass tests.

25

COMPUTING INFORMATION

Ba kground

The University of New South Wales has a poli y that all its students should be introdu ed to the

basi s of omputer use during their ourse. For students in Business, Biologi al and Physi al

S ien es and Engineering, part of that requirement is met by the Computing omponent of

First Year Mathemati s. Most of you will also need to use omputers in other ourses within

your program.

Students in most �rst year mathemati s ourses are introdu ed to the symboli omputing

pa kage known as Maple whi h is now a well established tool that ontinues to in uen e the

appli ation of mathemati s in the real world, as well as how mathemati s is taught. Learning

to use Maple will enhan e your understanding of the mathemati s involved in the algebra and

al ulus se tions of this ourse. Maple also enables you to ta kle larger, harder and more realisti

mathemati al problems as it an handle all the diÆ ult or tedious algebrai manipulations

present in the problems. Furthermore, learning some Maple introdu es you to some of the

basi ideas and stru tures in omputer programming. You will �nd the skills you a quire and

the te hniques you learn useful in many other ourses you study, both within and outside the

S hool of Mathemati s and Statisti s.

All Mathemati s and Statisti s majors should onsider doing further omputing ourses,

su h as MATH2301 Mathemati al Computing, in their degree program.

Computing lab

The main omputing laboratory is Room G012 of the Red Centre. You an get to this lab by

entering the building through the main entran e to the S hool of Mathemati s and Statisti s

(on the Mezzanine Level) and then going down the stairs to the Ground Level. A se ond smaller

lab is Room M020, on the mezzanine level of the Red Centre. The laboratories will normally

be open as follows:

M020 G012

During semester: Monday to Friday 9 am to 9 pm 9 am to 9 pm

Week 10 and Monday of Week 11: 9 am to 9 pm Closed

Saturdays, Sundays Closed Closed

During holidays: Monday to Friday 9 am to 9 pm Closed

Publi holidays and Weekends Closed Closed.

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

Remember that there will always be uns heduled periods when the omputers are not work-

ing be ause of equipment problems and that this is not a valid ex use for not ompleting tests

on time.

Remote A ess

All of the software that you need for this ourse is installed on the omputers in the Red-

Centre labs. This software an also be a essed from your own omputer. For information on

a essing Mathemati al and Statisti al software from outside the Red-Centre labs, please see

the information provided on this ourse's page in UNSW Moodle.

26

How to start

All the information and ourse materials that you need an be found by following the \Maple

notes, lessons, assessments" link in the \Computing omponent (Maple)" se tion on the MATH1131

module in UNSW Moodle. After following that link, use the menu on the left to �nd the in-

formation you are looking for. The best pla e to start is with the short instru tional videos

illustrating how to a ess and use all the omputing related omponents of MATH1131.

For the omputers in the s hool laboratories, your login ID is \z" followed immediately by

your seven digit student number and your password is your zPass, issued to you at enrolment. If

you have diÆ ulties logging in, the omputers will allow a �ve minute login with ID \newuser"

and password \newuser" where you an a ess https://idm.unsw.edu.au and reset or unlo k

your zPass. Be aware that two onse utive failed login attempts will lo k you out of the

omputing system for 30 minutes, or until you reset or unlo k your zPass.

From week 1 onwards, you are expe ted to master Chapter 1 and se tions 2.1 to 2.11 in the

First Year Maple Notes 2015 by ompleting the self- ontained Maple lessons and by obtaining

help, if ne essary, from the Consultants who will be available in Room G012 from 11am to 4pm

ea h tea hing day until the end of week 9.

Computing syllabus

The Maple omputing omponent is taught via a series of self-pa ed lessons. These lessons an

be found by following the link alled \Maple notes, lessons, assessments" in the \Computing

omponent (Maple)" se tion of the lass homepage on UNSW Moodle. For ea h lesson, there

is a orresponding Online Maple Test on Maple TA.

You are expe ted to work steadily through these lessons, ompleting the asso iated online

tests at the end of ea h lesson before moving on to the next lesson. Although these tests will

be available for the whole semester, only marks gained before their deadlines will be ounted

towards your �nal grade. The deadlines and further details are given on page 8

The online lessons over the following topi s:

Introdu tion to Maple: starting Maple, the Maple worksheet, new user tour, ommon mis-

takes.

Lesson 1 The Basi s: arithmeti operations, bra kets, onstants and variables.

Lesson 2 Fun tions: expressions vs fun tions, Maple's fun tions, substituing in an expres-

sion, pie ewise de�ned fun tions, simplifying an expression.

Lesson 3 Basi Cal ulus: limits, di�erentiation, maxima and minima, integration.

Lesson 4 Colle tions of Expressions: Maple sequen es, sets and lists, sums and produ ts,

manipulating Maple stru tures.

Lesson 5 Complex Numbers and Equations: omplex numbers, equations, exa t and

approximate solutions.

Lesson 6 Plotting: plotting fun tions of one variable, parametri plots, polar plots, impli it

plots, data plots.

Lesson 7 Linear Algebra: reating and manipulating ve tors and matri es, ve tor and ma-

trix operations, Gaussian elimination.

27

Using other omputers

Maple is available for PCs and Ma s and a home omputer opy of Maple may well be of great

use to you throughout your studies at university. However, it is not ne essary for you to buy

Maple at any stage to omplete any of your mathemati s ourses at UNSW. You are permitted

to do the online Maple tests from home or anywhere else that you have a ess to UNSWMoodle,

Maple and Maple TA. However the S hool is not able to provide te hni al help with external

equipment and annot be responsible for the reliability of your network onne tion and PC.

WARNINGS

Misuse of omputers is treated as A ademi Mis ondu t and is a serious o�en e. Guidelines for

a eptable ondu t are in the Computing Laboratories Information for Students 2015 booklet.

The Mathemati s Computer Labs will be heavily used this year as there are about 4000

students with a ounts. Queues will develop at peak times su h as when assignments or tests

are due. Plan what you are going to do on the omputer BEFORE you sit down at a PC |

don't waste your time and other people's. Problems with your own (home) omputer, internet

servi e or the UNSW IT systems are not onsidered to be an ex use for missing tests or test

deadlines. So you should PLAN AHEAD and not leave things until the last minute.

You should not use Maple to do your Algebra and Cal ulus tutorial problems (unless it is

expli itly indi ated) until you have understood the material thoroughly, as working through

the problems is important for learning the material. On e the material is understood you an

then use Maple to he k your answers. You may also use Maple for other ourses.

It is a ademi mis ondu t to do other people's tests or to allow others to do

your test.

Assessment

There will be two di�erent forms of omputing tests, the Maple Online Tests on Maple TA and

the Maple Laboratory Test. The details of these Maple tests have been des ribed previously in

the se tion on Computing tests on page 8. Note that, the end of semester exam may ontain

one or two sub-questions requiring a knowledge of Maple.

Spe ial onsideration for the laboratory test

If you miss the Maple Lab Test due to illness or another unexpe ted reason outside

of your ontrol, you must onta t Ms Lugton in RC-3088 as soon as possible and

provide a medi al erti� ate or other appropriate do umentation. An additional test

will be arranged during week 11 or 12 for students who provide suitable do umentation. If you

know in advan e of week 10 that you will not be able to sit the test at one of the s heduled

times, you must onta t Dr Jonathan Kress in RC-4102 as early as possible and a test may be

arranged before week 10. Tutors do not have permission to a ept medi al erti� ates for the

omputing test.

If possible, spe ial arrangements for the omputing laboratory test will be made for stu-

dents with supporting do umentation from SEADU. If you wish to exer ise this option, you

must onta t Dr Kress before the laboratory tests have ommen ed so that any needed spe ial

fa ilities an be implemented.

Dr Jonathan Kress (Room: Red Centre 4102)

Le turer in Charge of First Year Computing

28

STUDENT-OWNED COMPUTERS FOR MATHEMATICS COURSES

The S hool of Mathemati s and Statisti s is ommitted to providing, through its own labora-

tories, all the omputing fa ilities whi h students need for ourses taught by the S hool. No

student should feel the need to buy their own omputer in order to undertake any Mathemati s

ourse. Nevertheless, the following information is provided for the bene�t of those who may

wish to use their own omputer for work asso iated with Mathemati s ourses.

All of our ourses have a UNSW Moodle presen e, and it is there you should look for ourse

materials or links unless your le turer tells you otherwise. UNSW Moodle may be a essed from

any omputer with internet a ess; see their help �les and pages for te hni al requirements and

how to he k whether your web browser is supported.

The S hool of Mathemati s and Statisti s provides assistan e to students using tea hing

software in its laboratories. It does not have the resour es to advise or assist students in the

use of home omputers or in ommuni ation between home omputers and university fa ilities.

29

SOME GREEK CHARACTERS

Listed below are the Greek hara ters most ommonly used in mathemati s.

Name

Lower

ase

Upper

ase

Name

Lower

ase

Upper

ase

Alpha � Nu �

Beta � Xi �

Gamma � Pi � �

Delta Æ � Rho �

Epsilon � Sigma � �

Zeta � Tau �

Eta � Phi ' or � �

Theta � � Chi �

Kappa � Psi

Lambda � � Omega !

Mu �