Overview

Solution of systems of linear equations using Gaussian elimination; matrices, determinants, eigenvalues and eigenvectors; introduction to vectors; methods of integration - substitutions and integration by parts; solution of first-order ordinary differential equations - separable, use of integrating factor; solution of second-order linear ordinary differential equations with constant coefficients and applications; … For more content click the Read More button below.

Offerings

S1-01-CLAYTON-ON-CAMPUS
S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Burkard Polster

Unit Coordinator(s)

Associate Professor Burkard Polster
Dr Gregory Markowsky

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Understand the basic concepts of linear algebra, recognise and manipulate elements of vector spaces;

2.

Formulate and solve equations involving vectors and matrices, including for three-dimensional geometry;

3.

Identify and evaluate improper integrals;

4.

Solve simple first and second order differential equations, and formulate them for applications to physical systems;

5.

Compute Taylor series expansions, with remainder, for functions of one variable;

6.

Apply Taylor series and l'Hopital's rule to compute limits;

7.

Understand and compute the convergence properties of infinite series;

8.

Provide written reports that contain complete mathematical arguments.

Teaching approach

Active learning

Assessment

1 - Continuous assessment
2 - Examination (2 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Other unit costs

Costs are indicative and subject to change.
Miscellaneous items required (Unit course reader, Printing, Stationery)- $120.

Availability in areas of study

This unit applies to the following courses:
Applied mathematics
Astrophysics
Atmospheric science
Computational science
Financial and insurance mathematics
Mathematical statistics
Mathematics
Physics
Pure mathematics