Math 215 - Lecture notes

1. The logistic equation.
2. Fixed points.
3. The logistic bifurcation diagram.
4. The logistic Mandelbrot set.
5. The classical Mandelbrot set.
6. Relations and symmetries.
7. Periodic and preperiodic points in the Mandelbrot set.
8. Julia sets for periodic and preperiodic points.
9. Mandelbrot travelog.
10. External angles in the Mandelbrot set: the work of Douady and Hubbard.
11. Counting in the Mandelbrot set: an excursion into number theory.
12. Mandelbrot and Julia sets for other functions.
13. Fractals associated with Newton's method.