Overview

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Academic contacts

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Offerings

MURDOCH-S2-EXT-2018-ONGOING
MURDOCH-S2-INT-2018-ONGOING

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Enrolment rules

Students who have not completed any of the pre-requisite units need to complete equivalent unit before taking this unit.

Other learning activities

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Learning activities

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Learning outcomes

1.

Construct and understand basic mathematical models of simple biological, environmental and other systems

2.

Carry out mathematical analyses using a variety of mathematical methods, including some numerical methods. In particular, students should be able to: a. Solve certain classes of first order ordinary differential equations (ODE) b. Find general solutions to second order ODEs (including special cases of inhomogeneous ODEs) c. Find numerical solutions to first and second order initial value problems (IVPs) using Taylor’s theorem d. Use Laplace transforms to analyse IVPs, particularly with discontinuous forcing e. Use and analyse systems of linear first order ODEs as models of systems with interactions f. Classify 2nd order partial differential equations (PDEs) and numerically solve parabolic PDEs using finite differences

3.

Interpret the results of a mathematical model.

4.

Use numeric computational tools such as MATLAB and symbolic mathematics algebra systems in the analysis of differential equations models

Assessments

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Additional information

Unit content:· Simple models of biological, environmental and chemical systems · Mathematical and numerical methods for solving/analysing mathematical models · Appreciating the strengths and weaknesses of mathematical models and modelling assumptions.