units

MTH2032

Faculty of Science

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This unit entry is for students who completed this unit in 2016 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

6 points, SCA Band 2, 0.125 EFTSL

Undergraduate - Unit

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Science

Organisational Unit

School of Mathematical Sciences

Coordinator(s)

Dr Jerome Droniou

Offered

Clayton

  • Second semester 2016 (Day)

Synopsis

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 equations describing physical models are derived, and analysed through Fourier series, separation of variables and characteristics techniques.

Outcomes

On completion of this unit students will be able to:

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

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

  1. Describe the essential mathematical properties of these differential equations;

  1. Construct solutions of differential equations using analytic and computational methods;

  1. 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.

Assessment

Examination (3 hours): 70%
Assignments and quizzes: 20%
Mid-semester test: 10%

Workload requirements

Three 1-hour lectures and one 2-hour workshop per week

See also Unit timetable information

Chief examiner(s)

This unit applies to the following area(s) of study

Prerequisites

Co-requisites