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 xhour 
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 
4/114/15 xhour 
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 
4/184/22 xhour 
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 
4/254/29 xhour 
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: 46pm Location: 

5/2  5/6 xhour 
section 2.2 
Degree / Cellular Homology MayerVietoris 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 

5/23  5/27 
section 3.2 
Universal Coefficient Theorem Cup product The cohomology ring 

6/3 
Final Exam  Time: 8am Location: 