M382D Differential Topology
Unique: #56065
Semester: Spring 2012
Lecture: MWF 1-2, RLM 12.166
Professor: Robert
Gompf, RLM 12.150
Office hours:
MF11-12, W10-11. Exam week: M 5/7 1:30-2:30
Home: (512) 418-8857
E-mail: gompf@math.utexas.edu
Course description
and prerequisites
syllabus (same as Differential Topology Prelim syllabus)
Text: Guillemin and Pollack,
Differential Topology. Recently republished by AMS Chelsea Publishing (2010). Much of the homework will be from
GP.
Homework will
be collected Friday mornings at the beginning of class (or immediately
if you arrive late that day). If you can't attend that day, you can
slip the paper under my door
before noon on the due date. Late papers will not be accepted. HW#14 will be assigned but not
collected.
Your current grade data is
available on Blackboard .
Midterm exam: Wed. March 7, 5-7PM, RLM 5.118. Covers material through HW#6.
Final exam as officially
scheduled: Friday May 11, 9-noon, RLM 5.126. Emphasis will be on material not covered by the midterm.
Course grades
will be determined by homework (30%), midterm (30%) and final exam
(40%). Attendance will not be included. Plus/minus grades will be used
as needed.
Approximate schedule of lectures:
Background and GP Chapter 1: 13 lectures
Abstract manifolds (not in Euclidean space) and projective spaces: 5 lectures
GP 2.1-4 (transversality and mod 2 intersection theory): 7 lectures
GP 3.1-5 (oriented intersection theory, Lefschetz theory, vector fields), flows: 10 lectures
GP 4.1-8 (differential forms and integration) 9 lectures
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of Texas Honor Code
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core values of The University of Texas at Austin are learning,
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responsibility. Each member of the university is expected to uphold
these values through integrity, honesty, trust, fairness, and respect
toward peers and community.
Documented
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The
University of Texas at Austin provides upon request appropriate
academic accommodations for qualified students with disabilities. For
more information, contact Services for Students with Disabilities at
471-6259
(voice) or 232-2937 (video phone).