# MATH 74/114

Schedule and homework

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

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

6/3
Final Exam Time: 8am
Location: