Geometry/Topology (MATH 534A-B)

Fall, 2016 -- Spring, 2017

Instructor: Lennie Friedlander

Office: ENR2-351, tel: 6212742

Office hours: T 11:00-11:50, Th 12:00-12:50

Class meets on TTh from 9:30 to 10:45 in MATH. 501

Textbook: A Comprehensive Introduction to Differential Geometry, Volume One, Third Ed.,
by Michael Spivak
Algebraic Topology, by Allen Hatcher (Spring)

Teaching Assistant: Lanbo Fang



The goal of this course is to give you working knowledge of basic concepts of Geometry and Topology. ``Working knowledge'' means that you should be able to apply principles and methods that you learn to solving concrete problems. I will assign problems on a regular basis. Homework assignments and the dates when they are due will be posted on the web site. Every week Lanbo Fang will conduct a one-hour discussion session, TBA.

In the Fall, there will be one mid-semester test on Tuesday, October 25, and the final exam on Tuesday, December 13, from 8:00 to 10:00. Final grades will be assigned based on the results of these exams. No formal point system will be used. The grade of ``I'' can be awarded only in an exceptional case to a student who has a valid reason for not completing the course in time (illness, solid family reasons), and who has shown a passing performance in class.

In the Spring, there will be one mid-semester test on Thursday, March 9, and a take-home final exam. The problems for the final exam will be posted on Tuesday, May 2, and the solutions will be due on Tuesday, May 9, at noon. The grading policy and the "I" policy are the same as in the Fall semester.

Problem sets:
1. Due on September 1: Problems 1, 2,3, 9(a), 15, 18, pp. 20--26
2. Due on September 22: Problem set 2
3. Due on October 13: Problems 7, 12, 13(a,b), 17, 20, 26, 27, pp. 95--102
4. Due on November 15: Problem set 4
5. Due on November 29: Problems 4, 5, 6, 13, 14(a,b), 17, 20, 21, pp. 227--238
6. Due on January 26: Problems 7, 8, 13, 14, 28, 31, 32(a), p.p. 283--300.
7. Due on February 9: Problem set 7
8. Due on February 28: Problems 5, 10, 12, 16, 17, p.p. 38--39; 2, 3, 4, p. 79
9. Due on March 30: Problems 9, 14, 20, 25, pp. 79--81, p. 88; 4, 5, p. 131
-10. Due on April 20 : Problems 16, 17, 20 , p.132; 9, 10, p. 156


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