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