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Session 5 - Mathematics

Session Objectives:

By the end of this session you should be able to:
  1. manipulate and carry out operations on vectors
  2. manipulate and carry out operations on matrices
  3. demonstrate a familiarity with basic linear algebra
  4. solve first-order and higher-order ordinary differential equations
  5. solve simple cases of some partial differential equations
  6. demonstrate a familiarity with the MATLAB software package

The material presented here is not intended to be rigourous, but may rather be considered as a pragmatic quick-start guide to the standard of mathematics expected of students enrolled on this course.

It is assumed here that you are familiar with elementary calculus - ie that you can differentiate and integrate. If you feel you need to brush up on your calculus, follow the Supporting Material link on the top of this page.

If you feel sufficiently up-to-date on the maths outlined above, feel free to submit the assignment now! Otherwise, follow the links on the left to work through each section in this session, and then submit your assignment.

This session will be assessed through a written test on Monday of week 0. To assist your preparation a pdf file of a previous (similar) test may be downloaded here .

Acknowledgement: Some of this online material is taken from "Just the Maths", devised by A. J. Hobson , Coventry University. The MATLAB tutorial is taken from M. Gockenbach at Michigan Technical University.