M382D Differential Topology
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.