MATH 2030: Discrete Dynamical Systems

## MATH 2030     Discrete Dynamical Systems     Fall 2006

 Section 1 Instructor: Dan Cohen Phone: 578-1576 M W F   11:40 am -12:30 pm Office Hours: M W F   1:00-2:00 pm* E-mail: 135 Lockett Office: 372 Lockett URL: www.math.lsu.edu/~cohen
* Tentative. Any change in office hours will be announced in class. I will also hold office hours by appointment.

Text:  Devany, A First Course in Chaotic Dynamical Systems
We will cover (portions of) chapters 1 though 17.

Prerequisites:  MATH 1552 (Calculus II).

Catalog Description:  Dynamical systems with discrete time and in one spatial dimension; hyperbolicity; quadratic maps; chaos; structural stability; bifurcation theory; and higher dimensional systems.

Since MATH 2030 is a bridge course, the level of abstraction will be somewhat higher than what you've encountered in prerequisite courses.

Homework and Quizzes:  Homework will be assigned (primarily from the text), collected, and graded fairly regularly. Assignments will be announced in class, posted at www.math.lsu.edu/~cohen/courses/PastSemesters/FALL06/M2030/M2030hw.html, and occasionally discussed in class as necessary. A solutions manual may be made available for a small fee. Quizzes will be tentatively given weekly, and will serve to provide in-class reinforcement of homework problems, definitions, calculations, and short proofs. Together, homework and quizzes will be worth 100 points.

Exams:  There will be two 100 point hour-long, in-class exams. These exams will tentatively take place after we finish Chapters 7 and 11. No make-up exams, except in extreme cases. If you must miss an exam, you should notify me before the exam takes place.

Final:  There will be a 150 point final exam on Thursday, December 14, 12:30-2:30 pm. The final will be comprehensive, but will emphasize Chapters 12-17.

Grade:   Course grades will be based on the 450 possible points outlined above. It is possible that course grades will be curved slightly. In any case, 90-100% is assured an A, 80-89% a B, and so on.

Course Project:   To boost your grade, you may do a course project, such as a research-based report, a computer-based simulation or experiment, or a service learning lecture in a high school math class. Projects will be worth up to 30 points, and should be completed by the beginning of the last week of classes. If you opt to do a project, your score will be added to both your points, and the total points.

Important Dates:

 last day to drop September 5
 Labor Day September 4
 last day to add September 7
 Fall Holiday October 5-6
 last day to withdraw November 10
 Thanksgiving November 23-24

Please be aware of LSU's new academic policies regarding the dropping of courses by undergraduate students.
See pages 71-72 of the 2006-2007 catalog for details.

Blue Books:   For redistribution for the exams and final, please bring three (blank) blue books to class by Friday, September 8.

Bear in mind that you are taking this course under the guidelines of the Code of Student Conduct.

Dan Cohen   Fall 2006            This page:  http://www.math.lsu.edu/~cohen/courses/PastSemesters/FALL06/M2030/M2030.html