Math 412 : Nonlinear Dynamics and Chaos
Instructor : Professor Monika Nitsche,
Office: Hum 465, Office hours: MWF 2-3
Time and Place : MWF 9-9:50, Hum 424
Prerequisites: 264 and one of 314, 316
Text: Nonlinear Dynamics and Chaos, by Steven H. Strogatz
This is an ordinary differential
equations course which focuses on the study of nonlinear interactions.
We stay in context of applications in physics, biology, and chemistry,
and emphasize the qualitative analysis of the models. Sample applications
are lasers, synchronization, population models, chemical reactions. The
topics covered include: phase portraits, stability analysis, bifurcation
theory, discrete maps, fractals, and chaos.
Math 412 and Math 316 are two
complementary courses on ordinary differential equations.
While Math 316 focuses on quantitative analysis
of linear ODEs (exact solutions),
Math 412 focuses
on the qualitative analysis describing
the behaviour of solutions to nonlinear ODEs.
Course information (pdf, course description, grading policies)
Detailed Syllabus (pdf)
Reviews (to be posted)
Office: 465 Humanities
E-mail: nitsche at math dot unm dot edu
Office hours: MWF 2-3
University of New Mexico
Mathematics at UNM