Course Outline - Mat 456 - Spring 2007
Course meetings, Tues -Thurs 11:00 AM- 12:50 PM pm Room Gillet 205
Text: "A First Course in Chaotic
Dynamical Systems."
by Robert Devaney, published by Westview, ISBN 0-201-55406-2
The software mentioned in the book is outdated. See the following link for
software that will work on both PC's and MAC's
Java Applets
Links that show figures like the ones in the introduction are
Quadratic Iterator
Mandelbrot set
Julia Sets
Instructor: Prof. Keen.
Office: Room Gillet Room 137 D Phone: 718 960 8867
email:
linda.keen@lehman.cuny.edu
Office hours: Tues and Thurs 2 ---
Outline
We will follow the material in the text fairly closely. We will learn about
dynamical systems generated by simple functions of a single real variable. We
will learn the difference between predictable and unpredictable behavior.
Although I will not require any programs, many of the "experiments"
are easy to program in various languages, and in particular in Maple or
Mathematica, both of which are easily available at Lehman.
Exercises will be assigned from the text. You may work together on these
exercises.
There will be one midterm exam and a final exam. These are to be done
independently.
There are NO MAKE-UPS!!
The homework assignments will appear on this page.
The final grade will be based on the midterm and final exams as well as
in class participation.
The date for the final exam will be announced on this page well in
advance.
Class and Homework
Assignments: I know that as of
Feb 5, the book is not yet in. I have
put homework up with a link. Please try
to get the book from Amazon or Barnes and Noble.
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Date |
Class Topic |
Assignment |
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Jan 30 |
Introduction: Chapters 1 2 |
Read Chapters 1 and 2 and review the material in Appendix A |
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Feb 2 |
Chapters 3 and 4 |
Chap 3 ex 2,4,5,7a,c,d,h, 10, 11a,c, 13,14,16 |
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Feb 6 |
Chapters 5 and 6 |
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Feb 8 |
No class |
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Feb 13 |
Chapter 6 |
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Feb 15 |
Monday classes |
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Feb 20 |
Chapter 7 |
Chap 7, p. 80 / 1,3,5,7,11,13,14,15 to be collected next Tuesday Check out Maple programs for iteration and the bifurcation diagram computing-orbits.mw download and save it – then open it with Maple |
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Feb 22 |
Chapter 8 |
Chap 8 p. 94/2,5 (use a calculator or computer), 14,15 |
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Feb 27 |
Chapter 9 |
Chap 9 p. 111/1,2,3,6,910,17 to be handed in Mar 6 |
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Mar 1 |
Chapter 9 finish |
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Mar 6 |
Chapter 10 |
131/ 1,3,5,6,8,10 |
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Mar 8 |
Chapter 10 |
131/14,15,16,18 to be handed in Mar 13 also do 20 and 24 to hand in Mar 20 |
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Mar 13 |
Chapter 11 |
151/1,2,3,4 |
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Mar 15 |
Chapter 11 |
151/5,6,7 hand in Mar 22 |
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Mar 20 |
Chapter 12 |
161/1,2,4,6 |
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Mar 22 |
Review |
161/ 7,8,10, review sheet |
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Mar 27 |
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class cancelled |
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Mar 29 |
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Midterm Exam |
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Break |
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Apr 12 |
Chapter 13 |
13/1a,b,d,e,f,h 2, 4,5 |
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Apr 17 |
Chapter 15 |
13/6,8 |
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Apr 19 |
Chapter 15 |
15/1a,d,
2d,e, 4,5a,c,e, 7a,c,d,e |
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Apr 24 |
Chapter 15 |
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Apr 26 |
Chapter 16 |
15/10,11 |
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May 1 |
Chapter 16 |
16/1,2,3,4 |
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May 3 |
Chapter 16 |
16/5,8, Look at Julia sets for c values on p. 238 use the applet |
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May 8 |
Chapter 17 |
17/1,2,3 Look at the bulbs shown on p 257 use the applet |
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May 10 |
Chapter 17 |
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May 15 |
Review |
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May 17 |
In class final |
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