Pre-requisites

MT560 Basic Calculus

Co-requisites

None.

Learning Outcomes

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

• Analyse mathematical models based on ordinary differential equations including finding an infinite series solution.

• Determine the possibility of solving differential equations and, when possible, solve using the appropriate analytical technique.

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

Unit Description

Differential equations are the most important means for mathematically modelling and understanding the behaviour and development of physical, chemical and biological systems. This unit will address the theory and methods of solutions of ordinary differential equations, and systems of linear differential equations with constant coefficients. It will also explore Power series solutions and Laplace transforms and applications

Topics

• Theory and methods of solutions of ordinary differential equations
• 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.

---

Unit offerings

Face to face: Semester 1, 2025 and Semester 1, 2026 (Every Year, Semester 1)

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.