MATH 513:
Differentiable Manifolds
Section 001
Boise State University, Fall 2006

Instructor: Uwe Kaiser
Office: MG 238-A
Phone: (208) 426-2653
Fax: (208) 426-1356
Web Address:

Class meetings: MWF 12:40 p.m. - 1:30 p.m. in room MG 124.

Textbook: Topology from the differentiable viewpoint by John Milnor, Princeton University Press; further literature here pdf .

Office hours: MTWF from 11:40 a.m. to 12:30 a.m., MTW 1:40 p.m. - 2:30 p.m. Other by appointment. Drop ins are welcome any time.

Contents: Smooth manifolds and smooth maps, theorem of Sard and Brown, mapping degrees, oriented manifolds, vector fields, framed cobordism, Pontryagin construction, Hopf theorem.

Grading policy: Your final grade will be determined by your work in four areas: The final grade will be computed from the percentage received with respect to 1000 possible points. You need at least 60% of all points to get D-, 62% for a D, 67% for a D+, 70% for a C-, 72% for a C, 77% for a C+, 70% for a C, 80% for a B-, 82% for a B, 87% for a B+, 90% for an A-, 92% for an A, and at least 90% for an A+.

Here is a preliminary version of some lecture notes for this class pdf
The pdf file is created from postscript so has only mediocre quality. For better quality. use ps
If you do not have a postscript reader get ghostscript/ghostview from gv

For the purpose of practicing latex feel free to take a look at my tex-file (but be aware that I am not a texexpert and many things could be done in a much more elegant way. tex-file

Here are some suggestions for projects. pdf

Here are Homework Assignments as pdf files. You can get copies from me. .

Homework Assignment 1 pdf

Homework Assignment 2 pdf

Homework Assignment 3 pdf

Homework Assignment 4 pdf

Midterm pdf

Final, due December 11 pdf

This page was most recently updated on October 6, 2006.