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.

If Overenrolled: Preference to seniors and mathematics majors.

Cost: $188 ?

MATH 260 - LEC

Section 01
M 10:00 AM - 10:50 AM SMUD 207
W 10:00 AM - 10:50 AM SMUD 207
F 10:00 AM - 10:50 AM SMUD 207

MATH 260 - DIS

Section 01
Th 10:00 AM - 10:50 AM SMUD 014

This is preliminary information about books for this course. Please contact your instructor or the Academic Coordinator for the department, before attempting to purchase these books.

ISBN Title Publisher Author(s) Comment Book Store Price
Nonlinear Dynamics and Chaos Westview Press Steven Strogatz Amherst Books TBD

These books are available locally at Amherst Books.

Offerings

Other years: Offered in Spring 2009, Spring 2011, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Fall 2023, Fall 2024