MATH 178 Fractals and Chaos
Week 1 (May 7). Examples of fractals, self-similarity.
Week 2 (May 14). Constructing fractals by removing or adding pieces. Addresses
of a fractal. The Cantor set.
Week 3 (May 21). Measuring lengths of curves. Fractal dimension.
Week 4 (May 28). Consistent coverings.
Box counting method.
Week 5 (June 4). Iterated Function
Systems. Affine transformations.
Week 6 (June 11). Encoding and Decoding an IFS.
Fixed point of an IFS.
Week 7 (June 18). Chaos game.
Week 8 (June 25). Chaos game rules in "plain English".
Fractal Art, fractal music.
Week 9 (July 2). Discrete dynamical systems.
Week 10 (July 9). Experiments with the
Week 11 (July 16). Period doubling bifurcations.
the final state diagram of the logistic function. Symbolic dynamics.
Week 12 (July 23). Symbolic dynamics. Complex numbers.
Week 13 (July 30). Julia and Mandelbrot sets.
Last updated: Aug 1