Differential Topology

MAT 239

Professor: J. Schultens
Office: MSB 2103
Office hours: T 1:30p-2:45p.
Phone: 554-1381
www.math.ucdavis.edu/~jcs/239.html
e-mail: jcs at math dot ucdavis dot edu
Book: "Differential Topology" by Victor Guillemin and Alan Pollack
ISBN: 0-13-212605-2
Cost: about $120
Prerequisite: Graduate standing or equivalent level of maturity, some calculus, some linear algebra, some point set topology.
Attendance is not mandatory but is expected.
There will be weekly homework assignments. Homework will not be collected or graded. Instead, students will present homework solutions in class. Solutions will later be posted on SmartSite.
There will be two quizzes. Tentative quiz dates: October 27, November 21
Grades will be calculated as follows: quizzes 35% each, class participation 20%, term paper 10%.

Projected homework assignments:

Homework assignment #1, p. 5: 1, 2, 4, 6, 9, 18

Homework assignment #2, p. 11: 1, 11, 12

Homework assignment #3, p. 18: 3, 4, 6, 8

Homework assingment #4, p. 25: 1, 3, 7, 10

Homework assignment #5, p. 32: 1, 2, 6, 8; p. 37: 4, 7, 9

Homework assignment #6, p. 45: 1, 3, 9, 14, p. 48-54: Present proofs of Theorems from Chapter 1, Section 8

Homework assignment #7, p. 103: 2, 4, 7, 15, 21

Homework assignment #8, p. 160: 3, 4, 5, 8, 10; p. 171: 1, 3, 5, 7, 8