Overview

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Academic contacts

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Offerings

MURDOCH-S1-EXT-2018-ONGOING
MURDOCH-S1-INT-2018-ONGOING

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Other learning activities

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Learning activities

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Learning outcomes

1.

Have the technical skills to identify and solve mathematical problems involving differential equations with variable coefficients.

2.

Identify problems involving a small parameter and solve using perturbation techniques.

3.

Identify and formulate problems involving partial differential equations from real world scenarios.

4.

Solve and interpret solutions to problems involving models of various real-world phenomena, including groundwater flow, fluid mechanics, chemical kinetics and structures using computational and analytical approaches.

5.

Interpret problems to identify appropriate numerical and analytical solution techniques. Formulate, solve and interpret results in the context of the real application.

Assessments

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Additional information

Unit content:

Topics covered in this unit include: · Forces on vertical structures - Power Series solution of differential equations · Enzyme Kinetics - Perturbation methods (Chemical kinetics) · Traffic flow - First order partial differential equations – characteristics · Groundwater flows - Fourier techniques · Chemotaxis - Second order partial differential equation and numerical methods - diffusion, waves · Fluid dynamics - Complex Variables