Class Links and Handouts

Other Links

Lecture Notes

  1. Award winning Mobius Transformation video (caution 130MB file!)
  2. Joukowski flow Java widget implemented by NASA
  3. Homework 1 , solutions
  4. Homework 2 , solutions
  5. Homework 3 , solutions
  6. Homework 4 , solutions
  7. Homework 5 , solutions
  8. Syllabus
  1. Research for Undergrads:1 2
  2. Undergrad Math Scholarships
  3. Math = $1,000,000
  4. Mathematical Fiction
  5. Math News
  1. The Calculus of Variations
    1. Notes
    2. Payoff Functions supplement
  2. Fourier Series and Transforms
  3. Conformal Mapping
    1. Video Lecture 02/01/08
    2. Notes (updated 02/05/08)
  4. Contour Integrals and Laplace Transforms(updated 02/15/08)
  5. ODE
    1. Review
    2. Analytical and Numerical Methods
    3. Video Lecture 03/03/08
    4. More Numerical Methods
    5. The Shooting Method
  6. Method of Characteristics
Bass

Modeling 120Hz bass response in my living room.

The subwoofer is in the upper right corner.

Red= high sound pressure in phase.
Blue= high sound pressure out of phase.
Yellow= low sound pressure.

The mathematical model is a simple one, derived by looking for low amplitude waves in the compressible Navier-Stokes equations.

Plot shows values predicted by a numerical simulation of my mathematical model. These values were later confirmed by testing with a decibelmeter.

My Home

Math Biology's Home

Pee-Wee's Home