Course Title: Ordinary Differential Equations
Course Number: MATH 6410 - 1
Instructor: Andrejs Treibergs
Home Page:
Place & Time: M, W, F at 2:00 - 2:50 in JWB 308
Office Hours: 11:45 - 12:35 M, W, F, in JWB 224 (tent.) and by appointment
Prerequisites: Math 5210, its equivalent or consent of instructor.
Main Text: Gerald Teschl, Ordinary Differential Equations and Dynamical Systems A.M.S., 2012
Supplementary Notes: Christopher Grant, Theory of Ordinary Differential Equations, pdf, Solutions.
List of additional supplementary materials used in the course: M6414Supplement.html .

In this first semester of a year long graduate course in differential equations, we shall focus on ordinary differential equations and dynamical systems. The second semester, Math 6420 taught by P. Bressloff, will emphasize partial differential equations. In this course, along with the Math 6420, we shall try to cover the syllabus for the qualifying exam in differential equations. Although some mathematical sophistication is required to take the course, and it moves at the blazing speed of a graduate course, I shall provide any background materials needed by the class. If you are unsure about background material, I EXPECT YOU TO ASK ME so I know what needs covering.


We shall follow Teschl's text covering the behavior of solutions: existence and uniqueness, continuous dependence on data; and dynamical systems properties: long time existence, stability theory, Floquet theory, invariant manifolds and bifurcation theory. We shall discuss as many applications as we can. Topics include (depending on time):

Expected Learning Outcomes

At the end of the course the student is expected to master the theorems, methods and applications of


The success of the student will be measured by graded daily homework. A student who earns 50% of the homework points will receive an A for the course.

In addition, the student's performance will be reported to the Graduate Committee, which decides the continuation of financial support annually. Ultimately, the learning will also be measured by the Differential Equation Qualifying Examination.

Last updated: 8 - 15 - 16