| Unit name | Mathematical Methods |
|---|---|
| Unit code | MATH30800 |
| Credit points | 20 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Professor. Hogg |
| Open unit status | Not open |
| Pre-requisites |
MATH20100, MATH33000 |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
The theme of this unit can be though of as a continuation of Fourier Series: using various alternative ways to represent functions. This leads to new types of functions, to practical methods of solving differential equations, and interpreting signals. Fourier transforms, the extension of Fourier series to an infinite domain, come first. They correspond to the 'spectrum' of physical signals such as light. However, we give more emphasis to the way they can be used to simplify partial differential equations. They lead to the idea of generalised functions, such as Dirac's delta function. Green function representations follow naturally. Finally we examine some general aspects of partial differential equations.
