PDF Version: A PDF version of this syllabus is available
MW 12:00-12:50 / T 2:00-2:50 and by appointment in South Hall 6711
893-2060 (no answering machine)
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Differential Topology by Guillemin and Pollack,
Topology from a differentiable viewpoint by John Milnor,
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.
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.