MAT 7500
Winter 2008
Wayne State University
Objectives
and Philosophy
The objective of the course is to
understand something about differentiable manifolds. Topics will
include degree theory and transversality. As much as possible, we
will illustrate general concepts with concrete examples.
Class
Meetings
The class meets Monday,
Wednesday, and Friday 12:50-1:45pm in 112 STAT, except for official
university holidays. There will be
no class on Monday January 21, and on March 10 through March 14.
Prerequisites
In order to take this class, you
must have a firm grasp of point-set topology and of abstract
algebra. The courses MAT 5430 and MAT 6500 are sufficient.
If you are unsure about whether this course is appropriate for you,
please speak with me.
Text
The required text is Guillemin and
Pollack:
Differential Topology: ISBN 0132126052. We will cover most of
Chapters 1 through 3, and some of Chapter 4 if time permits.
Contacting
Me
E-mail: isaksen at math.wayne.edu
Office phone: 313-577-2491
Office
Hours
FAB 1195, Monday 9:30-10:30am and
Wednesday 10:30-11:30am. I am happy
to schedule appointments outside of these times. Appointments are not
strictly necessary, but there is no guarantee that I will be in my
office if you just stop in.
Online
information
All information for this course
will be posted at http://www.math.wayne.edu/~isaksen/Teaching/Courses/W08-7500
Class
Participation
Students will be asked to give
occasional presentations in class.
Assignments for Section 2.5:
Yu Sun
|
1, 2
|
Matt Zabka
|
3
|
Hung Phan
|
4
|
Qi He
|
5, 6
|
Hoang Nguyen
|
7
|
Can Huang
|
8
|
Araz Hashemi
|
9
|
Xioalong Han
|
10, 12
|
Lizhen Qin
|
11
|
Homework
There will be a significant amount
of homework in this course. Problems will be assigned and
collected weekly. I will grade all of the assignments.
Final grades will be based entirely on homework scores.
Collaboration is encouraged.
However, you must write your own solutions. I do not want to see identical solutions
in different handwriting.
Email:
isaksen at math.wayne.edu