MATH 2030 Discrete Dynamical Systems (3)

Prereq.: MATH 1550 or MATH 1551 . Coreq.: MATH 1552 or MATH 1553 . The mathematical topics covered are fundamental in mathematical analysis, and are chosen from the area of discrete dynamical systems. These topics include precise definitions of limits, continuity, and stability properties of fixed points and cycles. Quadratic maps and their bifurcations are studied in detail, and metric spaces are introduced as the natural abstraction to explore deeper properties of symbolic dynamics, chaos, and fractals.