Schedule
Note: The schedule is subject to change. Check back for changes and updates
TOPICS BY LECTURE
| Wed, Sep 29: | Point Set Topology Review (Notes) | |
| Fri, Oct 1: | Point Set Topology Review (Notes) | |
| Mon, Oct 4: | Compact sets and equivalences (Notes) | |
| Wed, Oct 6: | Folland, Section 1.4 | Outer measures and measurable sets(Notes) |
| Fri, Oct 8: | Folland, Section 1.4 | Outer measures and measurable sets(Notes) |
| Mon, Oct 11: | Folland, Section 1.1 | Measurable sets and \(\sigma\)-algebras (Notes) |
| Wed, Oct 13: | Folland, Section 1.1, 1.5 | Measurable sets, \(\sigma\)-algebras, and Borel sets (Notes) |
| Friday, Oct 15: | Folland, Section 1.3 | Measures (Notes) |
| Mon, Oct 18: | Folland, Section 2.1 | Measurable Functions (Notes) |
| Wed, Oct 20: | Folland, Section 2.1 | Measurable Functions (Notes) |
| Fri, Oct 22: | Folland, Section 2.1, 2.2 | Measurable Functions and Simple Functions (Notes) |
| Mon, Oct 25: | Folland, Section 2.2 | Monotone Convergence Theorem (Notes) |
| Wed, Oct 27: | Folland, Section 2.1, 2.2 | Fatou's Lemma(Notes) |
| Fri, Oct 29: | Folland, Section 2.3 | Dominated Convergence Theorem (Notes) |
| Mon, Nov 1: | Folland, Section 2.4 | Riesz-Fisher/Modes of Convergence(Notes) |
| Wed, Nov 3: | Folland, Section 2.4 | Riesz-Fisher/Modes of Convergence (Notes) |
| Fri, Nov 5: | Folland, Section 2.4 | Egoroff and Lusin (Notes) |
| Mon, Nov 8: | Folland, Section 2.5 | Product Measures and Fubini-Tonelli (Notes) |
| Wed, Nov 10: | Folland, Section 2.5 | Fubini-Tonelli, Hausdorff Measure (Notes) |
| Fri, Nov 12: | Folland, Section 3.1 | Hausdorff Measure of Products, Hahn Decomposition (Notes) |
| Mon, Nov 15: | Folland, Section 3.2 | Jordan Decomposition and Radon-Nikodym (Notes) | Wed, Nov 17: | Midterm Exam |
| Fri, Nov 19: | Folland, Section 3.2 | Radon-Nikodym (Notes) |
| Mon, Nov 22: | Folland, Section 3.4 | Covering Lemmas (Notes) |
| Wed, Nov 24: | Folland, Section 3.4 | Covering Lemmas (Notes) |
| Fri, Nov 26: | Holiday | Holiday |
| Mon, Nov 29: | Folland, Section 3.4 | Maximal Functions and Lebesgue Differentiation (Notes) |
| Wed, Dec 1: | Folland, Section 3.4 | Maximal Functions and Lebesgue Differentiation (Notes) |
| Fri, Dec 3: | No Class | No Class |
| Mon, Dec 6: | Folland, Section 3.5 | Functions of Bounded Variation (Notes) |
| Wed, Dec 8: | Folland, Section 3.5 | Functions of Bounded Variation (Notes) |
| Fri, Dec 10: | Folland, Section 3.5 | Functions of Bounded Variation (Notes) |