Math 215 - Lecture notes

- The logistic equation.
- Fixed points.
- The logistic bifurcation diagram.
- The logistic Mandelbrot set.
- The classical Mandelbrot set.
- Relations and symmetries.
- Periodic and preperiodic points in the Mandelbrot set.
- Julia sets for periodic and preperiodic points.
- Mandelbrot travelog.
- External angles in the Mandelbrot set: the work of Douady and Hubbard.
- Counting in the Mandelbrot set: an excursion into number theory.
- Mandelbrot and Julia sets for other functions.
- Fractals associated with Newton's method.

*This page was last revised on February 25, 1998.*