**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 142, 243

**Exams and Grading**:

Course grade will be determined based on homework, take home
quizzes, 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.

Most of the exams will require some

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

**Phone: 87**4-4436
**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:

rsolve first order equations

rsolve higher order equations and systems

Second Order Equations and Systems