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
S1-FF-CLAYTON-FLEXIBLE
S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Burkard Polster

Unit Coordinator(s)

Dr Gregory Markowsky
Associate Professor Burkard Polster

Notes

IMPORTANT NOTICE:
Scheduled teaching activities and/or workload information are subject to change in response to COVID-19, please check your Unit timetable and Unit Moodle site for more details.

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 - In-semester 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