The course provides an introduction to the topological dynamics of iterated maps: circle maps, unimodal maps, Smale's horseshoe, Hyperbolic toral automorphisms, and polynomials C
. There is an emphasis on symbolic techniques (kneading theory, Markov partitions, etc.)
The aim is to provide an introduction to a broad range of topics, rather than to discuss any of the topics in great depth.
Undergraduate-level courses in metric spaces and complex analysis.