**MTH 442**

**Introduction**** to Difference Equations**

**Course
Information and Syllabus, Spring 2014**

**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 M. R. S. Kulenovic and O. Merino

**Prerequisites**:
MTH 142, 243

**Exams and Grading**:

Course grade will be determined based on
homework, quizzes,
mid-term and final exams, *Mathematica** *projects and the final project.

The exams could be in part of the take home variety.

**Grading**.

TWO TESTS: 50 percent

** Mathematica**
PROJECTS, QUIZZES, AND HOMEWORK: 30 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

global dynamics for second order difference
equations

applications

**Computer Requirements**

The use of computer algebra systems ** Mathematica**
is required.

**Instructor**: Dr. M. Kulenovic
**Office: **Lippitt 202D

**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,W,F: 11-12 and by appointment.

**Time**: M,W,F: 10-10:50

**Place**: Lippitt 205

Useful links:

1. Difference Equations at URI

2. The Dynamical Systems at Boston University

4. Fractint