Use of a computer package, preferably MAPLE.

Prior Study of CE62032-5 Mathematical Modelling and CE62013-5 Engineering Mathematics Applications 1.

Jordan DW & Smith P. Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers, Oxford Texts in Applied and Engineering Maths, Clarendon Press, 4th Edition, 2007. ISBN: 978-0199208258
Morton KW and Mayers DF., Numerical Solution of Partial Differential Equations: An Introduction, 2nd Edition, Cambridge University Press, 2005, ISBN: 0521607930
Burden RL & Faires JD. Numerical Analysis, Brooks/Cole, 8th Edition, 2005. ISBN: 9780534392000

Assignment (50%)
Part 1. Assessing Learning Outcomes 1-3 in the context of Ordinary Differential Equations

Part 2. Assessing Learning Outcomes 1-3 in the context of Partial Differential Equations

Examination (50%) Assessing Learning Outcomes 1 and 2

1. Ordinary Differential Equations (Nonlinear pendulum, 1st order systems, phase plane analysis, equilibrium points, periodic solutions and limit cycles, examples and analysis of strange attractors, numerical methods)
2. Partial Differential Equations (Classification into diffusion equation, Laplace equation and wave equation. Applications and simple numerical methods.)

The material will be introduced over 24 hours consisting of 18 hours lectures and 6 hours practicals. This will be delivered as 2 lectures per week for the first 6 weeks and 1 lecture per week for the last 6 weeks, and 1 tutorial on alternative weeks over the semester.