Mathematics Induction
This is a selfguided 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: 

The material presented here is not intended to be rigorous, but may rather be considered as a pragmatic quickstart guide to the standard of mathematics expected of students enrolled on this course. The Maths for Chemists booklet developed by Birmingham and Leeds also provides a useful refresher (whether or not you consider yourself a chemist!). This list is incomplete, so if while studying you feel you need to brush up on other areas of mathematics, follow the Supporting Material link at the end of the list below.
 Vectors
 Matrices
 Linear vector spaces
 Differentiation and integration
 Ordinary differential equations
 Partial differential equations
 Probability and statistics
 Supporting material on other topics can be found from the "Just the Maths" homepage
There is a selfassessment test available to gauge your progress. If you feel sufficiently uptodate on the maths outlined above, feel free to complete the test now! Otherwise, follow the links to work through each section, and then complete the test.
Acknowledgement: Much of this online material is taken from "Just the Maths", devised by A. J. Hobson, Coventry University. The linear vector spaces and some of the ODE and PDE notes were written by Tiffany Walsh.