Overview

This unit introduces mathematical techniques for differential equations. These equations appear in a number of physical models, such as oscillations, heat conduction and transport equations. Methods to study ordinary differential equations include separation of variables, substituting methods, variation of parameters, series solutions and numerical techniques (Euler, Heun's method). Partial differential … For more content click the Read More button below.

Offerings

S2-01-CLAYTON-ON-CAMPUS

Contacts

Chief Examiner(s)

Dr Mark Flegg

Unit Coordinator(s)

Dr Mark Flegg

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.

Describe various classes of ordinary and partial differential equations and the physical systems to which they apply;

2.

Identify the differential equations that describe various physical processes including those for simple harmonic motion, diffusion, wave propagation and mass transport;

3.

Describe the essential mathematical properties of these differential equations;

4.

Construct solutions of differential equations using analytic and computational methods;

5.

Appreciate the role that differential equations and their solutions play in the scientific process, in particular their use as a tool to model physical systems and allow predictions to be made and tested.

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

Applied mathematics
Astrophysics
Atmospheric science
Financial and insurance mathematics
Mathematical statistics
Mathematics
Pure mathematics
Physics