Math 402/571 Topology Spring 2010 | ||||
Week | week of | Topics | HW Problems | Suggested Problems |
1 | Feb 15 | Ch. 1: Introduction | Ch.1- 2, 6, 10, 11, 12, 23 | Ch.1- 13, 14, 24, 26 |
2 | Feb 22 | Ch. 2: Continuity + Q1 | Ch.2- 8, 12, 15, 22, 27 | Ch.2- 1, 9, 10, 17, 20, 33, 36 |
3 | Mar 1 | Ch. 3: Compactness & Connectedness | Ch.3- 1, 15, 17, 23, 27 | Ch.3- 5, 8, 11, 12, 18, 25 |
4 | Mar 8 | Ch. 3: Compactness & Connectedness + Q2 | Ch.3- 30, 34, 43, 44 | Ch.3- 32, 35, 38, 41 |
5 | Mar 15 | Ch. 4: Identification Spaces | No HW | |
6 | Mar 22 | Ch. 4: Identification Spaces + M1 | Ch.4- 1, 2, 5, 16 | Ch.4- 10, 21, 22, 32 |
7 | Mar 29 | Ch. 4: Topological Groups | Ch.4- 26, 27 Ch.5- 1, 3, 5 | Ch.5- 4, 6, 7 |
8 | Apr 12 | Ch. 5: Fundamental Group + Q3 | Ch.5- 11, 16, 21 | Ch.5- 14, 18, 19 |
9 | Apr 19 | Ch. 5: Fundamental Group | Ch.5- 15, 22, 25, 26 | Ch.5- 27, 30, 31 |
10 | Apr 26 | Ch. 5: Fundamental Group + Q4 | Ch.5- 27, 28, 29, 32 | Ch.5- 31, 37 |
11 | May 3 | Ch. 5: Fundamental Group |
Ch.5- 33, 38, 40, 49 |
Ch.5- 44, 50 |
12 | May 10 | Ch. 6: Triangulations + Q5 | Ch.6- 1 Ch.7- 3, 22, 32, 33 | Ch.6 - 20, 22 Ch.7- 4, 17 |
13 | May 17* | Ch. 7: Surfaces |
No HW |
Ch.7- 23, 28, 30 |
14 | May 24 | Ch. 7: Surfaces + M2 | ||
Instructor: Baris Coskunuzer | ||||
Prerequisite: Math 301 | ||||
Text: M.A. Armstrong, Basic Topology - Springer Undergraduate Texts in Mathematics | ||||
Additional Reading: | Introduction to Topology, T. W. Gamelin, R.E. Greene - Dover Press | |||
Introduction to Topology, V.A. Vasiliev - AMS Student Mathematical Library | ||||
Further Reading: | Notes on Introductory Point-Set Topology by A. Hatcher | |||
Algebraic Topology by A. Hatcher | ||||
Grading Policy: 15% HW + 15% Quizzes + 40% Midterms + 30% Final | ||||
Attendance Policy: 75% attendance is required. 90% attendance means 5 bonus points. | ||||
Passing Grade: At least 40 | ||||
Class Time: MW 9:30-10:45 at SCI 103 | ||||
Office Hours: Monday 14:00 - 16:00 | ||||
HW: HWs are due Wednesday class of the following week. | ||||
Collaboration is encouraged as long as everyone writes his own solution. | ||||
HW solutions: | HW1 HW2 HW3 HW4 HW5 HW6 HW7 HW8 HW9 HW10 HW11 | |||
Exams: | Midterm 1 Midterm 2 Final |