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Area/Catalogue
MATH 1056

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Course Level
Undergraduate

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Offered Externally
No

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Course ID
101193

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Unit Value
4.5

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University-wide elective course
Yes

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Timetable/s

This class has not been
timetabled for year 2020.

Course owner

Course owner
School of Information Technology and Mathematical Sciences

Course aim

To develop basic concepts in linear algebra and apply them to problems using analytic and numerical techniques. To provide an introduction to matrix algebra and to use the software package MATLAB to solve problems.

Course content

Module 1: Linear Algebra (Applied)

Vectors and matrices, linear dependence of vectors, linear systems of equations, row operation as matrix multiplications, row reduced echelon form (RREF), matrix inverse, determinants, eigenvalues and eigenvectors of a square matrix, degenerate eigenvalues, diagonalisation of a square matrix, application to coupled systems of ordinary differential equations with examples from mechanics and ecology. MATLAB exercises.

Module 2: Linear Algebra (Abstract)

Definition and basic properties of abstract vector spaces; examples; Inner products; Cauchy-Schwarz inequality; Subspaces; Definition of dimension; Finite vector spaces and bases; The isomorphism theorem; Linear Transformations. Basic definitions: rank, null space, etc. The fundamental theorem; Special transformations: projections, orthogonal transformation, symmetric transformations, stochastic matrices; Spectral theorem for symmetric matrices; Matrix functions: matrix exponential, power series.

Textbook(s)

Larson, Ron 2015, Elementary Linear Algebra, Student edition, Cencage Learning , Boston, Massachusetts, United States

Kleinfeld, Erwin & Kleinfeld, Margaret 2001, Understanding Linear Algebra Using MATLAB, -, Prentice Hall, Upper Saddle River, NJ and London

Prerequisite(s)

Common to all relevant programs
Subject Area & Catalogue Number Course Name
MATH 1054 Calculus 1

Corequisite(s)

Nil

Teaching method

Component Duration
INTERNAL, MAWSON LAKES
Lecture 4 hours x 13 weeks
Tutorial 1 hour x 12 weeks
Computer Practical 1 hour x 12 weeks

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.


Assessment

Task Length Weighting Duration
INTERNAL, MAWSON LAKES
Continuous assessment 1250 word equivalent 20% N/A
Presentation 1250 word equivalent 20% N/A
Examination N/A 60% 3 hours

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
Non-award tuition fees are set by the Division offering the course. To determine the cost of this course, go to:
How to determine the relevant non award tuition fee. (Opens new window)

Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* Equivalent Full Time Study Load. Please note all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation

Course Coordinators

School of Information Technology and Mathematical

Degrees this course is offered in

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