| Unit name | Analysis 3 |
|---|---|
| Unit code | MATH34000 |
| Credit points | 20 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
| Unit director | Emeritus Professor. van den Berg |
| Open unit status | Not open |
| Pre-requisites |
Level 2 Analysis and Linear Algebra |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
This course introduces the Lebesgue integral and develops the elements of measure theory. Topics will include measurable functions, measures, Lebesgue integral, monotone convergence theorem, Fatou's lemma, Lebesgue dominated convergence, Lp spaces, modes of convergence, Hahn-Jordan decomposition theorem, Riesz representation theorem, Caratheodory and Hahn extension theorems, product measures, outer measures, Caratheodory's theorem, approximation of measurable sets, nonmeasurable and non-Borel sets.
