Discrete Dynamics and Fractals

Course Description: 

This course is intended to introduce modern concepts in discrete dynamics. Topics include the following. One-dimensional discrete dynamical systems: chaos, symbolic dynamics, Period 3 theorem and Sarkovskii's theorem; higher-dimensional discrete dynamical systems: iterative functions system, fractals; introduction to complex analytic dynamics, Julia and Mandelbrot sets. Students taking this course are expected to have knowledge in advanced calculus.

Course Code: 
MATH4270
Units: 
3
Programme: 
Undergraduates