## 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
*E-mail:* kaiser@math.boisestate.edu
*Web Address: *http://math.boisestate.edu/~kaiser

*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:
__A Midterm __ (200 points) -- The tentative exam date is October 18.
The midterm exam will consist of a take-home part (100 points) and an
in-class part (100 points). No collaboration is permitted on the midterm exam.
__Homework__ (300 points) -- There will be 30 homework problems in about 10 assignments. Each homework problem counts 10 points.
A tentative list of assignments can be accessed through this web-page but can change in the course of the class.
__Final exam__ (300 points) -- The final exam is a **takehome exam**. Please submit your results on Monday December 11, 1 p.m. in MG 124.
__Project__ (200 points) -- Projects on topics from the area of differential topology, in particular interesting applications e. g. in knot theory.
Please get in touch with me before the midterm to discuss the topic of your project. Group projects are welcome. The project is due on December 11, 1 p.m.

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.

http://math.boisestate.edu/~kaiser/teaching/m513_f06/syll.html