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Thursday 30 Aug
Introduction to fractals, types of self-similarity, examples of fractals in
nature and the arts |
| Tuesday 4 Sept
Iterated function systems, a language for making fractals. notes |
Thursday 6 Sept
Finding rules to make fractals, continued review notes |
| Tuesday 11 Sept
The chaos game, the random IFS algorithm review notes |
Thursday 13 Sept
Driven IFS: using fractals to find hidden patterns review notes |
| Tuesday 18 Sept
Continuing driven IFS review |
Thursday 20 Sept
Measuring fractals, box-counting dimension review notes |
| Tuesday 25 Sept
Similarity dimension, the Moran equation, mass dimension review notes |
Thursday 27 Sept
The algebra of dimensions, some applications of dimension review notes |
| Tuesday 2 Oct
Generalizing dimensions: multifractals review notes |
Thursday 4 Oct
More multifractals and some random fractals review notes |
| Tuesday 9 Oct
Manufactured fractals review |
Thursday 11 Oct
Fractals in the wild |
| Tuesday 16 Oct
Midterm review review |
Thursday 18 Oct
Midterm Exam and solutions |
| Tuesday 23 Oct
Random fractals review |
Thursday 25 Oct |
| Tuesday 30 Oct
Fractal cartoons of financial processes, the Trading Time theorem |
Thursday 1 Nov
A brief glimpse of chaos, simple processes with very complicated dynamics
review notes |
| Tuesday 6 Nov
Some ways to analyze chaotic data review notes |
Thursday 8 Nov
Driven IFS analysis of chaotic data review notes |
| Tuesday 13 Nov
Cellular automata: fractals in space and time |
Thursday 15 Nov
The universe is a cellular automaton: views for and against review |
| Tuesday 20 Nov |
Thursday 22 Nov |
| Tuesday 27 Nov
Complex iteration, Julia sets, and the Mandelbrot set notes |
Thursday 29 Nov
Some basic properties of the Mandelbrot set review notes |
| Tuesday 4 Dec
Fractal basin boundaries, the Mandelbrot set is everywhere review |
Thursday 6 Dec
Some things we do (and don't) know about the Mandelbrot set
review notes |