CDS 104 -- Spring 2005
Introductory Concepts for Dynamical Systems
Prerequisites:Ma 1 and Ma 2 (or equivalent);
it is recommended that this course be taken concurrently with CDS 273.
is aimed at students who are new to nonlinear dynamics, especially those in chemistry,
biology, physics, and engineering. Our goal is to explain this subject in a direct and simple way,
and to show how it can be used to understand the wonders of the nonlinear world. We will use the
textbook written by Strogatz whose mathematical treatment is friendly and informal, yet still careful.
Computation, concrete examples, and geometric intuition will be stressed. We will cover chapters
on phase plane analysis, limit cycles, bifurcation as well as chaos, with applications to physics,
biology, chemistry, and engineering. These materials should provide students with a good
grounding on nonlinear methods.
TuTh 2 - 3 PM; Steele 102