LECTURE SCHEDULE
Note: The schedule is subject to change. Check back for changes and updates
| Date | Topic | |
|---|---|---|
| 2/2 | Review of Riemann integral | |
| 2/4 | Riemann integral II, Basics of Integration | |
| 2/9 | Outer measures, basic properties | |
| 2/11 | Measurable sets | |
| 2/16 | Monday schedule - no class | |
| 2/18 | Abstract measure spaces | |
| 2/23 | Construction of Lebesgue integral | |
| 2/25 | Measurable Functions | |
| 3/2 | Convergence Theorems | |
| 3/4 | More convergence theorems | |
| 3/9 | Lebesgue differentiation | |
| 3/11 | Fubini's theorem | |
| 3/16 | More topology | |
| 3/18 | Midterm | |
| 3/22-26 | Spring break - have a great vacation! | |
| 3/30 | Urysohn's Lemma | |
| 4/1 | Riesz Representation Theorem | |
| 4/6 | Riesz Representation Theorem II | |
| 4/8 | Lusin's Theorem | |
| 4/13 | Lp spaces | |
| 4/15 | Lp spaces | |
| 4/20 | Patriot's Day - Enjoy the long weekend! | |
| 4/22 | Hilbert spaces | |
| 4/27 | Hilbert spaces | |
| 4/29 | Banach spaces | |
| 5/4 | Banach spaces | |
| 5/6 | Radon-Nikodym derivative | |
| 5/11 | Radon-Nikodym derivative | |
| 5/13 | Lp-Lq duality |
