Math 2920: Ordinary Differential Equations I

Fall Semester '09, Dr. Jonathan Rubin

Class Meetings: Tu/Th, 4:00 - 5:15 PM, Thackeray 524
Office Hours: Dr. Rubin will be available MF 3-4 PM, Tu 1:15-2 PM, and by appointment.
Text: I will be following lecture notes, Ordinary differential equations and Dynamical Systems, by Gerald Teschl. A collection of books will also be on reserve in the Engineering Library in Benedum Hall, and I may refer to these as references for various topics.

Below is the schedule of sections from Teschl's notes to be covered, along with links to the corresponding handout and any other relevant items.

Weeks 1-2 = Tu 9/1 - Tu 9/8: Chapter 1 (Newton's equations, Classification of differential equations, First order autonomous equations, Finding explicit solutions, Qualitative analysis of first order equations). Homework 1 is due Tuesday 9/15.
Weeks 2-4 = Th 9/10 - Th 9/24: Chapter 2 (Theorems of existence, uniqueness, dependence of solutions on initial conditions, maximal intervals of existence; skip Section 2.3). Homework 2 is due Tuesday 9/29.
Weeks 5-7 = Tu 9/29 - Th 10/15: Chapter 3 (Linear systems). Homework 3 is due Thursday 10/15. NOTE: There is no class on Tuesday 10/6 and Thursday 10/8. There will be a make-up class on Friday 10/9 at 5 PM in Thackeray 524.
Weeks 8-10 = Tu 10/20 - Th 11/5: Chapter 5 (Boundary value problems). Homework 4 is due Thursday, 11/12.
Weeks 11-16 = Tu 11/10 - Th 12/17: Chapters 6-8 (Dynamical Systems) - to be subdivided further soon.

Updated 11/10/2009