Math 415: Applied Dynamical Systems, Chaos and Modeling (FA23)

This course has now ended.

Course Details

Instructor: Thomas G. J. Chandler
Course Website: https://canvas.wisc.edu/courses/363934
Piazza Website: https://piazza.com/wisc/fall2023/fa23math415001
Course Syllabus: Math 415 (FA23) syllabus
Lectures: MWF 9:55 AM – 10:45 AM (Social Sciences 6240)
Office Hours: T 12:30 PM – 2:00 PM (virtual, Zoom); F 1:00 PM – 2:00 PM (in-person, Math Learning Center at Table 1)

Course Description

An introduction to nonlinear dynamical systems including stability, bifurcations and chaos. The course will give underlying mathematical ideas, but emphasize applications from many scientific fields. Further details can be found on the course syllabus.

Course Material

Textbook: This course will follow the 2nd edition of Nonlinear Dynamics and Chaos, by Steven Strogatz.

Software: MATLAB (MATrix LABoratory) will be used for several demonstrations. UW students have institutional access to MATLAB, see here (UW login required). Learning and using MATLAB is recommended, but is not required for this course; however, assessed homework may require reading, understanding, and writing algorithms in MATLAB-like syntax. Alternatives to MATLAB (e.g. Python and Mathematica) may also be useful to students.

Other material: Handwritten class notes, MATLAB code, homework, and midterm solutions will all be posted on the canvas page.