Module Descriptors
DIFFERENTIAL EQUATIONS: COMPUTING AND MODELLING
MATH60172
Key Facts
Faculty of Computing, Engineering and Sciences
Level 6
15 credits
Contact
Leader: Martin Paisley
Email: M.F.Paisley@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 36
Independent Study Hours: 114
Total Learning Hours: 150
Assessment
  • ASSIGNMENT weighted at 50%
  • EXAMINATION - UNSEEN IN EXAMINATION CONDITIONS weighted at 50%
Module Details
Module Additional Assessment Details

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
Module Special Admissions Requirements
Prior Study of CE62032-2 Mathematical Modelling and CE62013-2 Engineering Mathematics Applications 1.
Module Texts
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

Burden RL & Faires JD. Numerical Analysis, Brooks/Cole, 8th Edition, 2005. ISBN: 9780534392000
Module Resources
Use of a computer package, preferably MAPLE.
Module Indicative Content
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.)
Module Learning Strategies
Delivery of material via lectures (2 hours per week) and a tutorial/laboratory session (1 hour per week) to practice techniques and for hands-on investigation.
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