| Week | Lecture dates | Sections | HW assignment |
|---|---|---|---|
| 1 | 9/6 (Wed) | Introduction (Notes) | 1.1 #10; 1.2 #4bcde; 1.3 #3,4 |
| 2 | 9/11, 9/13 | Closed Sets, Continuity (17, 18) | 2.13 #4ab; 2.17 #12,14,19a; 2.18 #1,2 |
| 3 | 9/18, 9/20 | Homeomorphisms, Basis (13, 18) | 2.13 #1,5,8a; 2.18 #5,12,13 |
| 4 | 9/25, 9/27 | Products (15, 19) | 2.17 #6, 7, 13; 2.19 #5, 6, 7 |
| 5 | 10/2, 10/4 | Quotients, Metrics (Quotients, 20) | Quotients; 2.20 #4 (ignore the uniform metric), 9 |
| 6 | 10/9, 10/11 | Metrics (20, 21) | 2.20 3; 2.21 #1, 3, 6 |
| 7 | 10/16, 10/18 | Connectivity (23, 24) | |
| 8 | 10/23, 10/25 | Review/Midterm (cumulative through 2.21) | 3.23 #2, 5; 3.24 #1ab, 3, 9, 10 |
| 9 | 10/30, 11/1 | Compactness (26, 27) | 3.26 #1, 5 (you may assume Lemma 26.4), 8; 3.27 #2ab, 6 |
| 10 | 11/6, 11/8 | Limit Point and Local Compactness (28, 29) | 3.28 #3ab, 4, 6, 7ab; 3.29 #1 |
| 11 | 11/13, 11/15 | Countability Axioms, Separation Axioms (30, 31) | 4.30 #1, 2, 3, 5; 4.31 #1, 4 |
| 12 | 11/20, 11/22 | Urysohn Lemma (32)/Thanksgiving Break | |
| 13 | 11/27, 11/29 | Urysohn Metrization Theorem, Review (34) | 4.33 #2a, 3, 7, 8; 4.34 #3 (due by 12/8) |
| 14 | 12/4, 12/6 | Presentations | |
| 15 | 12/11, 12/13 | Presentations | |
| 16 | December 18 (Monday) | 4:00-7:00PM | Final Exam (Chapters 3 and 4) |