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PMath 370 Chaos and Fractals
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Winter 2012
This course is designed to introduce a wide range of students to the mathematical foundations of chaos, fractals, and discrete dynamical systems. Many students are intrigued by the scientific, visual, and computing aspects of chaos and fractals, but do not have much idea of the mathematics involved. This mathematics can be introduced to a student who has a background of calculus and linear algebra.
Basic Information
- Instructor : Kevin Hare,
- Office: MC 5086,
- Phone: Ext 35556.
- Office Hours : Mondays 10:00-11:30, Wednesday 3:00-4:30
- TA Office Hours : Mondays 2:30-3:30 (MC 5050)
- Lectures MWF 12:30pm-1:20pm Room MC 4042
Useful links of examples from class
Course Outline
- Course Outline
- Periodic Points - iterates of functions, fixed points, basins
of attraction, periodic points, attracting/repelling points, bifurcations,
Sharkovsky order.
- Chaos - Transitivity, strong chaos, conjugacy, linear functions,
nonlinear maps.
- Fractals - Dimensions, Julia sets, Mandelbrot sets, iterated function
systems.
- Anything else I happen to think is interesting at the time.
Assignments and Sample solutions
Exams
Project
This page was last updated on
by K. G. Hare