MATH1081
DISCRETE MATHEMATICS
Semester 1, 2016
UNSW Mathematics Society
Written Solutions*
*These solutions were written and typed up by Vishaal Nathan and Henderson Koh. Please
be ethical with this resource. It is for the use of MathSoc members, so do no

Chapter 7. Vector Spaces Lectures 714
The aim of this section of the course is to introduce the general theory of vector spaces and to give
some basic examples. The majority of examples will be for the real vector space Rn , but some
examples will be give

IMPORTANT NOTES: The additional assessment examination
The additional assessment examination may be of a different form from the original examination
and must be expected to be at least as difficult.
If you believe that your application for special cons

Additional Assessment Exam as a Concessional Additional Assessment
As from S1, 2016 students with a final mark in the range of 4549 will be permitted to take the
Additional Assessment Exam as a Concessional Additional Assessment (AA). There will be no
not

Class tests MATH1167
Details of the dates and content of tests are given on pages 16 and 19 of this booklet. Sample copies
of the tests are included in the Algebra Notes and in the Calculus problem booklet. Sample copies of
the tests are included in the A

Course Materials
The course materials for MATH1251 are: MATH1251 Course Pack 2016. Computing Laboratories
Information 2016 and Introduction to Matlab 2016. S.L. Salas, E. Hille and G.J. Etgen, Calculus - One
and Several Variables, any recent edition, Wile

Illness and other problems
If your performance in this course is affected by illness or other serious difficulties which are beyond
your control, you can apply for Special Consideration and you may be offered the opportunity for
Additional Assessment.
You

Computing and self-paced online modules
Computing and self-paced online modules: In addition to the Calculus and Algebra components,
there is a Computing component in MATH1251. This is partly interwoven with the Calculus and
Algebra components and partly

Lectures 16. Chapter 6. Complex Numbers
This section covers complex numbers in Cartesian and polar forms, complex arithmetic and
geometry, factorization of polynomials and stability of dynamical systems.
Development of number systems and closure. Definiti

Getting help outside tutorials
There will be a roster which shows for each hour of the week a list of names of members of staff who
are available at that time to help students in first year mathematics courses. This roster is displayed
on the noticeboard

You will NOT be granted additional assessment in a course if your performance in the course (judged
by attendance, class tests, assignments and examinations) does not meet a minimal standard. A total
mark of greater than 40% on all assessment not affected

Eigenvalues and Eigenvectors
The lecturer will not cover all the material in these notes in their lectures as some sections of the
notes are intended for reference and for background reading. The algebra course for MATH1251 is
based on chapters 6 to 9 of

To access this material and to find the link to UNSWs Maple TA server, follow the Maple TA link on
the Moodle homepage of your first year mathematics course.
The Australian Government does not subsidise fee paying places. Instead, it provides access to th

The plans are here to help you and should be used in conjunction with the UNSW Handbook so that
you are aware of the program requirements. You will be able to map out what courses you have to
complete in your degree.
Questions for the class tests in MATH1

1. Submitting an assessment item that has already been submitted for academic credit
elsewhere may also be considered plagiarism.
2. Log in to your myUNSW account
3. Select the My Student Profile tab
4. Under the 'Online Services' heading select Program L

MATH1277 will provide you with an in-depth knowledge of topics in Calculus and Linear Algebra and
show applications in interdisciplinary contexts through lectures and exercises.
The mathematical problem solving skills that you will develop are generic pro

Any difficulties that you might have with access to WileyPlus must be resolved directly with the
publisher. Salas & Hille is sold at the UNSW Bookshop.
Your Responsibility to Notify Employers You should notify employers of the requirement to attend
examin

Please check the level one courses rule for your program when selecting free electives.
A major is an approved sequence of 48 UOC (8 courses) courses in a particular area within a
program. Majors require students to take an approved set of courses at diff

Chapter 9. Eigenvalues and Eigenvectors Lectures 1924
The aims of this section are to introduce the ideas of eigenvalue and eigenvector and to show some
applications of these ideas to diagonalization of matrices, evaluation of powers of matrices and
solut

MATH1251 WEEKLY PROBLEM SCHEDULE
The main purpose of tutorials is to give you an opportunity to get help with problems which you
have found difficult and with parts of the lectures or the Algebra Notes which you dont understand.
In order to get real benef

_ UNIVERSITY OF NEW SOUTH WALES
/ SCHOOL OF MATHEMATICS AND STATISTICS
MATH1081 DISCRETE MATHEMATICS S2 2014
TEST 1 VERSION 1B
This sheet must be lled in and stapled to the front of your answers
Students Family Name Given Name or Initials Student Number

MATH1151 Algebra Test 1 2008 S1 v2b
March 28, 2016
These solutions were written and typed up by Gary Liang and edited by Henderson Koh and
Vishaal Nathan. Please be ethical with this resource. It is for the use of MathSoc members,
so do not repost it on o

MATH1081 Test 2 2008 S1 v2A
April 7, 2016
These solutions were written by Johann Blanco and typed up by Georgia Tsambos. Please be
ethical with this resource. It is for the use of MathSoc members, so do not repost it on other
forums or groups without aski

MATH1131/1141 Algebra Test 1 2014 S1 v1a
March 28, 2016
These solutions were written and typed up by Harry Gibbs and edited by Henderson Koh and
Vishaal Nathan. Please be ethical with this resource. It is for the use of MathSoc members,
so do not repost i

MATH1081 Test 4 2008 S1 v3b
May 15, 2016
These solutions were written by Johann Blanco, typed up by Georgia Tsambos and edited by
Allan Loi and Henderson Koh. Please be ethical with this resource. It is for the use of MathSoc
members, so do not repost it

MATH1131/1141 Calculus Test 1 2008 S1 v5a
March 31, 2016
These solutions were written and typed up by Johann Blanco and Brendan Trinh and edited
by Henderson Koh and Vishaal Nathan. Please be ethical with this resource. It is for the
use of MathSoc member

MATH1131/1141 Algebra Test 2 2014 S1 v1a
May 26, 2016
These solutions were written and typed up by Brendan Trinh and edited by Aaron Hassan and
Henderson Koh. Please be ethical with this resource. It is for the use of MathSoc members,
so do not repost it

MATH1081 Test 3 2008 S1 v3A
April 28, 2016
These solutions were written by Johann Blanco, typed up by Evgeny Martynov and edited by
Allan Loi and Henderson Koh. Please be ethical with this resource. It is for the use of MathSoc
members, so do not repost i

MATH1131/1141 Calculus Test 2 2008 S1
v8a
April 28, 2016
These solutions were written by Johann Blanco, typed by Brendan Trinh and edited by Matthew
Yan and Henderson Koh. Please be ethical with this resource. It is for the use of MathSoc
members, so do n

Graduate Attributes: MATH1251
MATH1251 will provide you with an in-depth knowledge of topics in Calculus and Linear Algebra and
show applications in interdisciplinary contexts through lectures and exercises. It will enhance your
skills in analytical criti

The course then shifts to an examination of firms from the perspective of financial markets. Students
learn how financial markets determine the overall cost of capital for a firm, using portfolio theory to
examine the relationship between expected risk an

MATH1251, Mathematics for Actuarial Studies and Finance 1B, is a first year 6UOC course offered by
the School of Mathematics in semester 2.
There are two algebra lectures and two calculus lectures per week. Lectures commence in week 1
and run until week 1

Course Materials -The course materials for MATH1251 are:
MATH1251 Course Pack 2015. Computing Laboratories Information 2015 and Introduction to Matlab
2015. S.L. Salas, E. Hille and G.J. Etgen, Calculus - One and Several Variables, any recent edition,
Wil

MATH1251 PROBLEM SETS
At the end of each chapter there is a set of problems. Some of the problems are very easy, some are
less easy but still routine and some are quite hard. To help you decide which problems to try first,
each problem is marked with an [

Online Algebra and Calculus tests: Maple TA
Before each algebra and calculus tutorial class tests you must complete a simple online test that is
designed to help you prepare for the tutorial tests. These tests are conducted using an online testing
system