This fall I taught “Chaos!” (Math 53), an upper-level course on discrete and continuous dynamical systems.  Course webpage.

Courses taught at Dartmouth College:

  • Chaos! (Math 53):
    • Discrete dynamics including bifurcations, Lyapunov Exponents, sensitive dependence, stable and unstable manifolds,  Sarkovskii’s Theorem, Henon map, limit sets.  Fractals, box-counting dimension, Julia sets and the Mandelbrot set.  Iterated function systems and generative artwork.  Continuous dynamics, attractors, Poincare-Bendixson Theorem.  The Lorenz attractor.  Time series analysis including delay embeddings, recurrence plots, generating partitions.   Shannon entropy, KL divergence, permutation entropy.  Cellular automata, Langton’s ant, the Game of Life.
    •  Course webpage.
  •  Probability (Math 20):
  • Differential Calculus (Math 2):
    • Mean Value Theorem, optimization, related rates, Riemann sums, integration, basic differential equations, solids of revolution.
    • Course webpage.

I led drop-in tutorial sessions for various calculus courses at Dartmouth and for several years as an undergraduate at Kenyon College.

Kate Moore, Kemeny Math Dept. Class

A day in “Chaos!”, Fall 2017.
Photo credit: Robert Gill photo for Dartmouth College.