This course is an advanced introduction to a number of
topics in ordinary differential equations. The topics are chosen
from the following: existence and uniqueness theorems,
qualitative theory, oscillation and comparison theory, stability
theory, bifurcation, dynamical systems, boundary value problems,
The last two topics above will be omitted. The lectures
will survey the others, and students will be expected to make an
in-depth study of some, by doing assignments and projects.
Students should have passed MATH 2221 and MATH 3210, or seek
permission from the course coordinator to take this course.
The text will be Lawrence Perko, Differential Equations and
Dynamical Systems (Springer--Verlag), 1991.
Other references include J.K. Hale and H. Kocak, Dynamics and
Bifurcations (Springer-Verlag), 1991, and M.W. Hirsch and S. Smale,
Differential Equations, Dynamical Systems and Linear Algebra
(Academic Press), 1974.
The grade will be based
upon term tests and assignments (60%) and a final exam (40%).
Prerequisite:Permission of the course coordinator.
Coordinator: J. Wu