# Course Preparation

In preparation for the course it is important that you are familiar with certain materials. The core mathematics text will be *Kreyszig: Advanced Engineering Mathematics, 9th edition*. I highly recommend obtaining a copy.

Before you arrive you should read the following chapters:

**ODEs:**Ch 1, Ch 2.1, 2.2, 2.4, 2.5, 2.7, 2.8**Laplace & Fourier Transforms:**Ch 6.1-6.5, 11.1-11.3, 11.7-11.9 (all inclusive)**Linear Algebra:**Ch 7.1 - 7.4, 7.6, 8.1 and the first page (340) of 8.2 (the rest of chapter 7 and 8 are optional)**PDEs:**Ch 12.1 (the rest of the chapter is optional)

and attempt the following 32 questions:

- Problem set 2.2, q: 13, 14, 19, 20, 31, 32
- Problem set 2.9, q: 5, 6, 8, 9, 12, 15
- Problem set 6.3, q: 45, 46, 47
- Problem set 7.3, q: 14, 15, 16
- Problem set 8.1, q: 9, 19
- Problem set 11.3, q: 15, 16
- Problem set 11.9, q: 8, 9
- Problem set 12.1, q: 11, 12, 16, 17, 20, 21, 24, 25

Please number the questions as above (e.g. ps 2.2, q 13) and place the question before each answer for clarity.

You will be expected to turn in the legibly hand written or typed answers to all questions on the first day of class.

Please also familiarise yourself with the computational environment & language (Matlab) that you will be using by attempting the first two tutorials (or more) from here: http://www.mathworks.com/products/matlab/demos.html.

You should make sure you are familiar with the mathematical material listed here. You can find much of the material from MIT's OpenCourseWare. Note also that you can find the basic fundamental mathematical background from *W. F. Trench's free book, Introduction to Real Analysis.*

Many thanks, and best of luck in your new studies.

*Dr G. D. Clifford*