Dynamics\u00a0is the branch of mathematics that deals with the study of change. In this course we will focus on simple discrete non-linear\u00a0dynamical\u00a0systems that produce astoundingly rich and unpredictable behavior -- something that is colloquially\u00a0referred to as "chaos". Topics will include one dimensional dynamics (including fixed points and their classifications), Sharkovsky's Theorem, a careful formulation\/definition of "chaos", symbolic dynamics, complex dynamics (including Julia and Mandelbrot sets), iterated function systems, fractals and more.\u00a0<\/p>\n\n \n <\/div>\n