**Text**:

M. R. S. Kulenovic and Orlando Merino, Discrete Dynamical Systems and Difference Equations with Mathematica,

Chapman&Hall/CRC Press, 2002. www.amazon.com

Lecture Notes by E.A. Grove, M. R. S. Kulenovic and G. Ladas

**Prerequisites**:
MTH 243

**Exams and Grading**:

Course grade will be determined based on homework, mid-term and final exams, Maple projects and the final project. The exams could be in part of the take home variety.

TWO TESTS: 45 percent

MAPLE PROJECTS, QUIZZES, AND HOMEWORK: 35 percent

FINAL PROJECT: 20 percent

The topics that will be covered are:

basic theory for linear difference equations

stability theory

periodic points

chaos for first order difference equations

fractals

applications

**Computer Requirements**

The use of computer algebra systems MAPLE is required.
MAPLE worksheets dealing with the different problems in theory will be provided
and demonstrated in the class.

Most of the exams will be MAPLE-aid exams.

**Instructor**: Dr. M. Kulenovic
**Office: **Tyler 216

**Phone: **44436
**e-mail**: kulenm@math.uri.edu
**Online information**: www.math.uri.edu/courses
or www.math.uri.edu/~kulenm

**Office hours**: M, T, W: 1-2 and by appointment.

**Time**: T,Th: 2-3:15

Useful links:

1. Difference Equations at URI

2. The Dynamical Systems at Boston University

4. Fractint

*Maple*
worksheets:

*Maple *format:

Second Order Equations and Systems