Course Title: | Ordinary Differential Equations |
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Course Number: | MATH 6410 - 1 |
Instructor: | Andrejs Treibergs |
Home Page: | http://www.math.utah.edu/~treiberg/M6414.html |
Place & Time: | M, W, F, 2:00 - 2:50 in JWB 308 |
Office Hours: | 10:40-11:30 M, W, F, in JWB 224 (tent.) |
E-mail: | treiberg@math.utah.edu |
Prerequisites: | Math 5210 or consent of instructor. |
Main Text: | Lawrence Perko, Differential Equations and Dynamical Systems, 3rd. ed. Springer, 1991, |
ISBN 978-0-387-95116-4. | |
Additional Texts: | List of supplementary materials used in the course. |
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, we shall provide any background materials needed by the class.
We shall begin by following Perko's text. We cover existence, uniqueness and continuous dependence of solutions of ordinary differential equations, stability theory, bifurcation theory and periodic solutions. Occasionally we'll refer to more advanced texts. We shall discuss as many applications as we can. Topics include (depending on time):
Last updated: 5 / 10 / 12