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Mathematics Induction

This is a self-guided review of mathematics material that will be useful for the core HetSys training modules, and is designed to be completed at your own pace.

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. understand basic ideas of statistics and probability

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.

There is a self-assessment test available to gauge your progress. If you feel sufficiently up-to-date on the maths outlined above, feel free to complete the test now! Otherwise, follow the links on the left to work through each section in this session, and then complete the test.

The submission deadline for the test is Wednesday 23rd September. Please submit via email to hetsys at warwick dot ac dot uk - scans/photos of hand-written workings are fine.

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.