Math 7350
Geometry of Manifolds
Spring 2015
Announcement: The
midterm exam will be Friday, March 13 during the
regularly scheduled class time, and will cover all
the material we have seen in lecture to that point.
Instructor: Vaughn
Climenhaga
- Office: 665 PGH
- Office hours: MWF 11-11:50am or by
appointment
- Email: climenha [at] math.uh.edu
Course information:
- Lectures: MWF, 10-10:50am, C 108
- Textbook: Introduction to Smooth
Manifolds, second edition, by John M. Lee
(Springer, 2013)
- Course
syllabus
This is the
second part of the two-semester topology/geometry
sequence that began with Math 6342. We will
study smooth manifolds and maps, tangent and
cotangent vectors, and vector fields and
bundles. Further topics may include
embeddings, Lie groups and algebras, tensors,
differential forms, integration on manifolds, de
Rham cohomology, flows, and distributions and
foliations.
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Homework
HW 1 (due Wed,
Jan 28)
HW 2 (due Fri, Feb
6)
HW 3 (due Fri, Feb
20)
HW 4 (due Mon, Mar
2)
HW 5 (due Mon, Mar
9)
HW 6 (due Fri, Mar
27)
HW 7 (due Wed, Apr
8)
HW 8 (due Wed, Apr
22)
HW 9 (due Mon, May
4)
Other materials
Thomassen's
paper on classification of surfaces
Review
material for final exam
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