Up: Math 221C: Differential Topology

Syllabus for Math 221C

PDF Version: A PDF version of this syllabus is available here

Instructor. Jon McCammond
Office hours. MW 12:00-12:50 / T 2:00-2:50 and by appointment in South Hall 6711
Phone number. 893-2060 (no answering machine)
E-mail. jon.mccammond@math.ucsb.edu
My Home Page. http://www.math.ucsb.edu/~jon.mccammond/
Course Home Page. http://www.math.ucsb.edu/~jon.mccammond/courses/spring06/221C/

Differential Topology by Guillemin and Pollack, Prentice-Hall (Required).
Topology from a differentiable viewpoint by John Milnor, Princeton (Recommended).

Description. Math 221C is the third quarter of the first year topology sequence. It covers such topics as topological manifolds, differential manifolds, transversality, tangent bundles, the Borsuk-Ulam theorem, orientation and intersection number, the Lefschetz fixed point theorem, and vector fields.

Grading. The plan is to cover most of, or at least as much of Guillemin and Pollack's text as possible in one quarter. Extensive homework assignments will be given. These will be the basis for essentially one-third of your final grade. The other two-thirds will be determined by a midterm and a final exam. The weights of each of these are as follows.

Homework 30%
Midterm 30%
Final 30%
Participation 10%

The midterm will test the material covered during the first half of the course; the final exam will test the second half.

Make-ups: Make-ups for exams will only be given with documented University-approved excuses (see University Regulations).

ADA. Students with disabilities can get assistance from the Disabled Students Program Office (893-2668). I'm happy to work with them and with you.

Copyright Information. Please note that all written and web materials for this course have an implied copyright. In particular, you can xerox (or download) for your own use, but you may not reproduce them for others.

Last Modified on 30/May/06 by