This term, I am teaching “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,  Henon map, Sarkovskii’s Theorem.  Fractals, Mandelbrot and generative artwork.  Continuous dynamics including the Lorenz Attractor and Poincare-Bendixson Theorem.  Time series analysis including delay embeddings, and estimating entropy using contemporary non-linear techniques.
    •  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 "Chaos"

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