Fall 2007 -- Math 564: Applied Nonlinear Ordinary Differential
Equations
Instructor: Dr. Wen-Qing Xu
Office: FO3-203
Phone: 562-985-1823
Email: wxu @ csulb.edu
Web: www.csulb.edu/~wxu
Classes: Monday/Wednesday, 5:30-6:45PM,
LA5-259.
Office hours: Monday/Wednesday 1:00-2:00PM, Tuesday 5:00-6:00PM, and by
appointment.
Textbook:
Nonlinear Ordinary Differential
Equations: An Introduction to Dynamical Systems, Third Edition,
D. W. Jordan and P.
Smith,
Oxford University Press,
1999.
Prerequisites: Math 361B, and Math 364A or Math 370A.
Goal:
To provide an introduction to dynamical
systems in the context of systems of ordinary differential equations
with applications to science and engineering. Topics include: Stability
and asymptotic analysis, Perturbation methods, Phase plane
analysis, Bifurcation, Chaos, Applications to science and engineering.
Grading Policy:
- Homework: 25%
- Exam 1: 25%
- Exam
2: 25%
- Final Exam 25%
Homework
Assignments
Remarks:
- Class attendance is expected and will be checked from time to
time. If you have to miss a class for a valid reason, notify me in
advance.
- Homework problems will be assigned and collected approximately
once every two weeks
and will be distributed in class or posted on my web page. No late
homework will be accepted.
- There will be two midterm exams and a comprehensive final exam.
There will be no make-up exams except in extremely unusual
circumstances.
- Any office hour may be canceled due to illness or necessary
appointments, students should therefore not depend upon a faculty
member being in his/her office for a particular office hour. Students
should secure any necessary signatures or other such requirements well
in advance of any deadline.
- If you received permission to register for a closed class
section,
only you can enroll for the course. It is the student's responsibility
to complete the registration process before the dates indicated in the Schedule of Classes.
- Please refer to the university policy and deadlines for
withdrawals. It is the student's responsibility to withdraw from the
course. The instructor has no obligation to withdraw students who do
not attend classes, and may choose not to do so.
- Request for special need for accommodation of a University
verified disability should be submitted within the first two weeks with
all necessary documentation.