Spring 2013

Topics in Differential Equations

Listed in: Mathematics and Statistics, as MATH-260

Formerly listed as: MATH-20

Faculty

Tanya L. Leise (Section 01)

Description

The study of differential equations is an important part of mathematics that involves many topics, both theoretical and practical. The precise subject matter of this course will vary from year to year. In spring 2013 the topics will be nonlinear dynamics and chaos.  We will study the dynamics of one- and two-dimensional flows.  The focus of the course will be on bifurcation theory: how do solutions of nonlinear differential equations change qualitatively as a control parameter is varied, and how does chaos arise?  To illustrate the analysis, we will consider examples from physics, biology, chemistry, and engineering.  The course will also cover basic theorems concerning existence and uniqueness of solutions and continuous dependence on parameters. Four class hours per week, one of which will be in the computer lab.

Requisite: MATH 211 or consent of the instructor. Spring semester. Professor Leise.

Keywords

Quantitative Reasoning

Offerings

2015-16: Offered in Spring 2016
Other years: Offered in Spring 2009, Spring 2011, Spring 2013, Spring 2014, Spring 2015