Previous Classes

• Math 201, Mathematical Methods for Physical Sciences II, Spring 2007, University of Chicago.

• Math 274, Introduction to Differentiable Manifolds and Integration on Manifolds, Spring 2007, University of Chicago.

• Math 116, Calculus II, Fall 2003, University of Michigan.
  

• Math 215, Recitation, Calculus III, Fall 2002, University of Michigan.
  

• Math 115, Calculus II, Winter 2001, University of Michigan.
  

• Math 105, Precalculus, Fall 2000, University of Michigan.
  

Talks for Undergraduates

• 2007 REU: Seven Lectures on Mathematical Music Theory.
  University of Chicago, July 16th-26th, 2007.
  Slides, Problems, and other Material.

• Topology and Algebra in Music Theory.
  University of Chicago, November 7th, 2006.
  

• 2006 REU: Four Lectures on Mathematical Music Theory.
  University of Chicago, July 5th, 7th, 11th, and 13th, 2006.
  Slides, Problems, and other Material.

• Beethoven and the Torus.
  University of Michigan Undergraduate Math Club, October 14th, 2004.
  Slides dvi, pdf, ps
  Musical examples can be found on my Music page.

• Three Multi-Media lectures on Mathematics and Music
  Math 107 Winter 2003, University of Michigan.
  Lecture Notes pdf, ps.