| Unit name | Complex Function Theory (34) |
|---|---|
| Unit code | MATHM3000 |
| Credit points | 20 |
| Level of study | M/7 |
| Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
| Unit director | Emeritus Professor. van den Berg |
| Open unit status | Not open |
| Pre-requisites | |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
Complex analysis, or the calculus of complex-valued functions, is one of the most beautiful self-contained areas of mathematics. In many ways simpler than real one-variable calculus, it is possible to derive far-reaching results having important scientific applications as well as providing powerful tools in other branches of mathematics. Starting from the idea of differentiability of complex- valued functions through the idea of conformal mappings, leading up to Cauchy's theorem on the integration of complex functions, it proves possible to tackle successfully such diverse problems as two-dimensional potential flows of an ideal fluid or to evaluate explicitly improper real integrals or infinite series.
