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.