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Math 85 Dynamical Systems(TTh 9:55 - 11:10 in Dupont 142A), taught
by Jim Wiseman, Spring 2003.
Office: 3 Whittier Place, Room 255, 690-5763.
Email: jwisema1@swarthmore.edu
Office hours: Tues. 3-4, Wed. 4-5, and by appointment.
Text book: Alligood, Sauer, and Yorke, Chaos: An Introduction to
Dynamical Systems, in the bookstore.
Plan: We'll cover most of chapters 1-5 and parts of chapters
6-9. There will be two midterms and no final. Instead, each student will
prepare and present, during the last two weeks of class, a final project
on a topic of his or her choosing.
A more detailed schedule is at www.swarthmore.edu/NatSci/jwisema1/math85/schedule.html
, but it's subject to change.
Homework: There will be homework due (almost) every Thursday.
Assignments will be posted at www.swarthmore.edu/NatSci/jwisema1/math85/assignments.html
- you are responsible for checking the assignments, as I usually won't
give them in class.
Group work: I strongly encourage you to work on the homework
in groups. I suggest that you work on the problems by yourself first,
making a note of anything giving you trouble; then meet with your group
and work through the remaining problems together; and finally write up
the solutions by yourself.
Every group member must write up his or her own solutions
independently; just copying the group's answers is plagiarism and is unacceptable.
Getting help: As Talking Barbie says, "Math class is tough."
(Unless she's the hacked version - then she says, "Eat lead, Cobra.")
Chances are that sooner or later you'll get stuck on something, so don't
get frustrated. Think hard, and if you're still stuck, do something
else for a while. (It's amazing how often that works.)
My office hours are above - these are times when I'm
guaranteed to be in my office and willing to talk. If you want to
see me at other times, the best thing to do is to set up an appointment
with me by email or after class. Of course, you're welcome to just
drop by my office, as long as you don't mind if I'm not there or don't
have time to talk.
Finally, I can't emphasize enough that your classmates
are your best source of help.
Grading: Homework and class participation 15%, each midterm
25%, final project 35%.
Exam schedule (tentative):
- First midterm: Thursday, March 6, in class.
- Second midterm: Thursday, April 17, in class.
- No final exam.
Final project: Here's a list of some possible topics (I encourage
you to think of your own): cellular automata, symbolic dynamics, notions
of recurrence, complex dynamics, Julia/Mandelbrot sets, the Poincare-Bendixson
Theorem, fixed-point theorems, n-body problem...
Late work and make-ups: Late homework won't be accepted,
and you won't be allowed to make up a missed exam, except under very exceptional
circumstances (e.g., the sasquatch
attacks - and even then you should get a note from the sasquatch).
In the case of a conflict that you absolutely can't resolve, you may arrange
to take a midterm exam early.
Feedback: I'm very interested in your feedback throughout
the class: what you like, what you don't, what's working for you,
what isn't - anything that you think might help me make the course better.
If you have any comments (and you probably should), the easiest thing
to do is to talk to me (or send email) about them. If you want to
remain anonymous, you can fill out the anonymous feedback form on my feedback
page.
Webpage: Please check the course webpage for updated information
and announcements:
http://www.swarthmore.edu/NatSci/jwisema1/math85
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