Ordinary Differential Equations 2920

Theory of ODES by Chris Grant

ODEs and Dynamical Systems by Gerald Teschl

Useful information

Link to Jon Rubin's page

Rough Schedule

• Weeks 1-2 = Tu 8/28 - Tu 9/4: Teschl Chapter 1 (Newton's equations, Classification of differential equations, First order autonomous equations, Finding explicit solutions, Qualitative analysis of first order equations).
• Weeks 2-4 = Th 9/6 - Th 9/20: Teschl Chapter 2 (Theorems of existence, uniqueness, dependence of solutions on initial conditions, maximal intervals of existence; skip Section 2.3).
• Weeks 5-8 = Tu 9/25 - Th 10/18: Teschl Chapter 3 (Linear systems). NOTE: There is no class on October 9th due to Fall Break.
• Weeks 9-12 = Tu 10/23 - Th 11/15: Teschl Chapter 5 (Boundary value problems).
• Weeks 13-16 = Tu 11/20 - Th 12/13: Teschl Chapters 6-8 (Dynamical Systems). NOTE: There is no class on November 22 due to Thanksgiving Recess.

Finer schedule

• 9/4, 9/6 : Read Chapters 1.2-1.4 in the GRANT book
• HOMEWORK 1 DUE Sept 20 2012
• 9/18-9/20: 2.4-2.5 Teschl
• HOMEWORK 2 Due Oct 9
• 9/25-9/27: Teschl Chapter 3.1-3.3
• 10/16-10/18: Teschl Chapter 3.6-3.7
• HOMEWORK 3 Due Oct 25