Math 457/557 SPRING 2011, Discrete Dynamical Systems, CRN 33890/33898
- Instructor: Victor Ostrik
- Office Hours for Spring 2011: MW 3pm-4pm, Deady 10B, or by appointment.
- Class meets: MWF 2pm-2:50pm,
Deady 102 Deady 106.
- Book: R.L.Devaney "A First Course in Chaotic Dynamical Systems",
Westview Press, ISBN 0-201-55406-2. There are two copies of the book
on reserve in Science Library
- Syllabus: in this class we will discuss (parts of)
- Useful dates:
- Last day to drop class without W: Mon April 4.
- Last day to drop class with W: Sun May 15.
- Last day to add class: Wed April 6.
- Last day to change grading option: Sun May 15.
- Last day of classes: Fri June 3.
- Memorial Day: May 30.
- Tentative test dates:
- Midterm 1: 2pm-2:50pm Fri April 22, Deady 106.
- Midterm 2: 2pm-2:50pm Fri May 20, Deady 106.
- Final: 3:15pm-5:15pm, Mon June 6,
Deady 102 Deady 106.
- Please remember that if you miss a class, it is
your responsibility to find out what happened in that class. You
can usually pick up any handouts from here .
- Grading: Homework 20%, midterm 1 25%, midterm 2 25%, final 30%.
- Graduate Students taking Math 557: According to Graduate School policies, graduate students are expected to do approximately 30% more work than undergraduates. Graduate students in this course will, in addition to the above work, complete a long-term Project. These projects will be due on the last day of class, and they should be designed in consultation with the instructor: they can involve writing a paper, doing the exercises in extra chapters of the book, designing a website, etc. An agreement between student and instructor about what the Project will be should be in place by the end of Week 4. Grades for graduate students in 557 will be: Homework 15%, Midterm1 20%, Midterm2 20%, Final exam 30%, and Project 15%.
- You can look at your current grade on the
- Homework Assignments to be collected on FRIDAYS
from now on.
Late homework will not be accepted.
- List of lectures is available here.
- Some online resources:
Devaney's website contains several Java applets for exploring
dynamical systems and fractals.
A great site
for exploring the orbit diagram for the quadratic family.
The Mandelbrot Set Explorer.
Julia set generator.
Another Julia set explorer.
Yet another Julia set generator.
Website for computing orbits in Julia sets.
Fractint is a very nice, free program which allows you to explore
all kinds of fractals, including the orbit diagram for the quadratic
family. There are versions for IBM PCs and Linux boxes.