Tentative Course Schedule

Last Revised January 19

This schedule is only tentative. Sections refer to Guillemin
and Pollack

January 21-23: Course overview, linear algebra
preliminaries, derivatives as linear maps

January 26-30: Inverse function thm, implicit function
thm, immersion thm in R^n

February 2-6: What is a manifold?
Sections 1.1-1.3

February 9-13: Sections 1.4-1.6

February 16-20: Sections 1.6-1.8

February 23-26: Chapter 1 review, Sections 2.1-2.2

March 1-5 Sections
2.3-2.5

March 8-12 Section 2.6, review,
Midterm.

March 15-19 Spring break! Termpaper
topics should be chosen by now.

March 22-26 Sections 3.1-3.3

March 29- April 2 Sections 3.3-3.4 (this is the heart
of chapter 3)

April 5-9 Sections
3.5-3.7

April 12-16 Chapter 3 review,
Sections 4.1-4.2

April 19-23 Sections 4.3-4.5

April 26-30 Sections
4.6-4.8. Termpapers are due April 30.

May 3-7
Section 4.9, chapter 4 review, second midterm.