CDS 104 -- Spring 2006
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 2:30 - 3:30 PM; Steele 102
Wang Sang Koon
Office Hours: TBD
John M. Carson III
Wed 5-6PM 125 STL (Recitation)
Thu 5-6PM 125 STL
Steven H. Strogatz ,
Nonlinear Dynamics and Chaos,
Perseus Books Publishing
- Homework 1:
5.2.3, 5.2.7, 5.2.8, 5.2.12, 5.2.13
- Homework 2:
6.3.3, 6.3.4, 6.3.10, 6.4.2, 6.5.5, 6.5.12
- Homework 3:
6.6.2, 6.7.2, 6.7.4,
6.8.1, 6.8.3, 6.8.7
- Homework 4:
7.1.2, 7.1.5, 7.1.8,
7.2.9, 7.2.12, 7.2.15
- Homework 5:
7.3.1, 7.3.2, 7.3.3,
7.3.4, 7.3.5, 7.4.2
- Homework 6:
7.5.3, 7.6.2, 7.6.5,
- Homework 7:
3.4.11, 8.1.6, 8.1.11, 8.1.13, 8.2.1,
- HOMEWORK: There will be one more homework (HW7), due May 26 at 5PM.
The graded HWs will be returned to the students in the
mail box on May 29 at noon. Shaunak will hold an office
hour in the morning of May 30 (10-12 noon) to answer any
question related to HW7.
- FINAL: In order to have the same exam for the whole class (undergrad,
senior, and grad), the final will be held on May 30. Please
mark your calendar. It will be a take home exam (open book,
open notes and homeworks, with pplane7 available). The
questions will be passed out in class on May 30 and the exam
will be collected the next day at noon.
- EVALUATION: The Teaching Evaluation will be done on May 30.