Pre-requisites

None.

Co-requisites

None.

Learning Outcomes

On successful completion of this unit, the student will be able to:

• Create and analyse mathematical models based on ordinary differential equations including finding an infinite series solution.

• Examine the type of a given differential equation, determine the existence of a solution and if a solution can be obtained, select the appropriate analytical technique for finding the solution.

• Utilise technology tools to find geometric, graphical and numeric techniques for the analysis of solutions.

• Analyse and solve linear systems of equations using eigenvalues and eigenvectors.

• Analyse and solve differential equations using Laplace transforms.

Unit Description

Differential equations are the most important means for mathematically modelling and understanding the behaviour and development of physical, chemical and biological systems. Topics covered in this module includes: Theory and methods of solutions of ordinary differential equations and systems of linear differential equations with constant coefficients. Power series solutions, Laplace transforms, and applications.

Teaching Strategies

Teaching strategies include: lectures and tutorials, weekend schools; class discussions; role plays and practice of skills within class; presentation of instructional material in the form of printed documentation, DVD, video and audio tape and online interaction.

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Unit offerings

Please note

The Unit Offerings listed above are a guide only and the timetable for any year is the final authority. The College may vary offerings based on demand, regulatory requirements, continual improvement processes or other conditions.

This unit may be available in different modes of delivery i.e. online and face-to-face as listed above. The unit content will not differ between these modes of delivery. There will possibly be a difference in the schedule and/or the prescribed assessment tasks, however both will cover and assess the same content.