Lectures | Textbook | Brief Description | Homework Assignment |
---|---|---|---|
3/28 - 4/1 |
section 1.1 |
Paths and
Homotopy The Fundamental Group of the Circle Induced Homomorphisms |
Due 4/6 (Sec 1.1) Practice: 2, 3, 8, 11, 12 Submit: 5, 6, 9, 10, 15, 20 |
4/4 - 4/8 x-hour |
section 1.2 |
Free Products of Groups The van Kampen Theorem Applications to Cell Complexes |
Due 4/13 (Sec 1.2) Practice: 3, 9, 16, (18) Submit: 4, 7, 8, 10, 14, 21 |
4/11-4/15 x-hour |
section 1.3 |
Lifting Properties The Classification of Covering Spaces Deck Transformations and Group Actions |
Due: 4/20 (Section 1.3) Practice: 5, 6, 10, 14 Submit: 4, 7, 9, 12, 23, 25 |
4/18-4/22 x-hour |
section 2.1 |
∆-Complexes/Simplicial Homology Singular Homology Homotopy Invariance |
Due: 4/27 (Section 2.1) Practice: 4, 11, 15, 18, 29, 30 Submit: 5, 8, 9, 17, 26, 27 |
4/25-4/29 x-hour |
section 2.1 | Exact Sequences and Excision The Equivalence of Simplicial and Singular Homology |
Due: 5/4 (Section 2.1) Practice: 3, 12, 13, 19, 20, 24 Submit: 16, 18, 21, 22, 30, 31 |
4/28 |
Midterm | Time: 4-6pm Location: |
|
5/2 - 5/6 x-hour |
section 2.2 |
Degree / Cellular Homology Mayer-Vietoris Sequences Homology with Coefficients |
Due: 5/11 (Section 2.2) Practice: 14, 15, 18, 20, 29, 40 Submit: 4, 9b, 12, 19, 22, 32 |
5/9 - 5/13 |
section 3.1 | Cochain complexes Cohomology of Spaces |
Due: 5/18 (Section 3.1) Practice: 5, 6(a), 8(b) Submit: 4, 6(b), 8(c), 9, 11(b), 12 |
5/16 - 5/20 |
No classes |
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5/23 - 5/27 |
section 3.2 |
Universal Coefficient Theorem Cup product The cohomology ring |
|
6/3 |
Final Exam | Time: 8am Location: |