Introducing Chaos Theory - A New Program at Interschool

Chaos theory, a cutting-edge field of math that took off with the advent of modern computing, has applications in everything from meteorology to the stock market and beyond. In this course, we will study fundamental ideas in chaos theory and the mathematical discipline of dynamical systems, an area of math focused on systems that change over time.

Starting with the idea of iteration, we will explore how small changes in initial conditions can produce big differences in outcomes. We will come to understand a hallmark of chaos theory and dynamics: even the most simple and deterministic systems can produce unpredictable behavior and even the most complex systems can reveal some kind of order.

Finally, we will see how these ideas apply to the beautiful world of fractals, including the Julia sets and the Mandelbrot set.