Math 260R: Advanced Measure Theory
Professor: Katy Craig, katy•craig at ucsb • edu
Lecture: Tuesday and Thursday, 12:30-1:45pm
Lecture Location: Arts 1356
Office Hours: Tuesdays and Wednesdays 11:15am-12:15pm, SH 6507
Recommended References:
Exams: none.
Presentations:
List of Suggested Topics
All students will give a 15-30 minute presentation on a topic related to the course. The dates of presentations are listed on the course schedule below.
Grading Scheme: Presentation 50%, Class participation: 50%
Prerequisites: Measure theory
Schedule:
| topic | lecture notes | ||
|---|---|---|---|
| 1 | Mar 31 (T) | measure theory review and Hausdorff measure | LEC1 |
| 2 | Apr 2 (Th) | Signed measures and the Hahn Decomposition | LEC2 |
| 3 | Apr 7 (T) | ||
| 4 | Apr 9 (Th) | ||
| 5 | Apr 10 (F) | ||
| 6 | Apr 14 (T) | ||
| 7 | Apr 16 (Th) | ||
| 8 | Apr 21 (T) | ||
| 9 | Apr 23 (Th) | presentations I | |
| 10 | Apr 28 (T) | ||
| 11 | Apr 30 (Th) | ||
| 12 | May 5 (T) | presentations II | |
| 13 | May 7 (Th) | ||
| 14 | May 12 (T) | ||
| 15 | May 14 (Th) | presentations III | |
| 16 | May 19 (T) | ||
| 17 | May 21 (Th) | ||
| - | May 26 (T) | (no class) | |
| 18 | May 28 (Th) | presentations IV | |
| 19 | Jun 2 (T) | ||
| 20 | Jun 4 (Th) |