APM405/505, Spring 2006
Special Topics - Dynamical Systems
Faculty: M. Shillor
Office: 554 SEB
Phone: 248-370-3439
Class Time: TuTh 6:30-9:50 PM (with
two short breaks)
Room: 386 SEB
Office Hours: Tuesday and Thursday
4:00 - 5:30
PM, or by
appointment.
Prerequisites: MTH 254 -
Multivariable Calculus, APM 257 - Differential Equations, or permission
of the instructor.
Text:
Nonlinear Differential Equations and Dynamical Systems,
by Ferdinand Verhulst, Springer;
2nd rev. and expanded ed. 1996. Corr. 2nd printing, 1999.
Softcover ISBN: 3-540-60934-2
Two additional useful books for the course (not required) are:
by Steven H. Strogatz (Paperback - Jan 15, 2001)
Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics)
by Stephen Wiggins (Hardcover - Oct 1, 2003)
Exams: The grade in this course
will
be based
on two 100-point hour exams
and one 200-point project.
Exam #1: Thursday,
May 18 - 6:30-7:30 PM, then the class continues;
Exam #2: Tuesday, June 6 - 6:30-7:30 PM, then the class continues;
The Project will be due on Thursday, June 15, 6:30 PM.
It will be held in the usual classroom, it is
comprehensive and will cover the entire
material of the course.
In case the university is officially
closed
on a scheduled exam date, the exam
will be held on the next class date that the university is officially
open.
Grades: There is no fixed grading
scale in
this course; a conversion formula from your
percentage score to Oakland University grades will be determined at the
end of
the course.
However, the following table shows the lowest possible grade that a
given
percentage
score will earn:
95%----4.0
80%----3.0
65%----2.0
50%----1.0
Homework: Homework will be assigned
on a
regular basis but it will not be collected or graded.
Honesty: Cheating is a serious
academic
crime. Anyone convicted of cheating in this
course will receive a course grade of 0.0 in addition to any penalties
imposed
by the
Academic Conduct Committee.
May 5 - Last day for no-grade drop.
June 5 - Last day for official
withdrawal
(W grade).
June 15 - Last class- Project due.
Discussion board and chat room for the course
Schedule: We will cover most of
Chapters 2-8, 12-14, with some exceptions.
May 1: Introduction, Chapters 2, 3
HW: 2-1, 2-2, 2-5, 2-6, 3-1, 3-3(a), 3-4, 3-5, 3-6, 3-7
May 8: Chapters 4 and 5
HW: 4-2, 4-4, 4-5, 4-6, 5-1, 5-3, 5-4
May 15: Chapters 6 and 7
HW: 6-6, 7-2, 7-3, 7-4, 7-7*
Last hour on Tuesday - Review
First hour on Thursday - Exam I
Material for the exam - Chapters 2 - 5
May 22: Chapters 6, 7 and 8
HW: 8-1,, 8-2, 8-4, 8-5, 8-7*, 8-8
May 29: Chapters 12 and 13
HW: 13-1. 13-3, 13-4, 13-7*, 13-10
Last hour on Thursday - Review
June 5: Examples of limit cycles, bifurcation and Chapters 13 and 14
HW:
First hour on Tuesday - Exam II
Material for the exam - Chapters 6 - 8.
June 12: Chapter 14, Review of the Course
The format of each exam will be:
3 questions out of 1-4; question 4 is mandatory.
you may use one freely written two sided A4 sheets of paper
If you have any questions or remarks, send
them to me
by clicking on
Winter 2006