The orbits of one-dimensional maps
Bifurcations and the logistic family
Dynamics of metric spaces
Countability, sets of measure zero and the cantor set
Devaney's definition of chaos
Conjugacy of dynamical systems
Conjugacy, fundamental domains and the tent family
Newton's method for real quadratics and cubics
Coppel's theorem and a proof of Sharkovsky's theorem
Real linear transformations, the Hénon Map and hyperbolic toral automorphisms
Elementary complex dynamics
Examples of substitutions
Fractals arising from substitutions
Compactness in metric spaces and an introduction to topological dynamics
Substitution dynamical systems
Sturmian sequences and irrational rotations
The multiple recurrence theorem of Furstenberg and Weiss
Appendix A. Theorems from calculus
Appendix B. The Baire category theoreum
Appendix C. The complex numbers
Appendix D. Weyl's equidistribution theorem.
