Introduction to Dynamical Systems 1

Introduction to Dynamical Systems 1
Discrete dynamical systems; iterations of maps on the line and the plane; bifurcation theory; chaos, Julia sets, and fractals. Computational experimentation.
MATH
534
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMath 334, 341; or equivalents.
 RecommendedMath 352.
 TaughtFall Contact Department, Winter Contact Department
 ProgramsContaining MATH 534
Course Outcomes

Learning Outcomes

Students should know all relevant definitions, correct statements of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts. The students should be able to demonstrate their mastery by solving non-trivial problems related to these concepts, and by proving simple (but non-trivial) theorems about the concepts below, related to, but not identical to, statements proven by the text or instructor. For more detailed information visit the Math 534 Wiki Page.

Overview

Discrete dynamical systems; iterations of maps on the line and the plane; bifurcation theory; chaos, Julia sets, and fractals. Computational experimentation.