**Math 442 Schedule**

Possible Math 300 topics

- Derive wave equation: Strings, Chains, and Ropes (SIAM Review 2006) (The Equations for Large Vibrations of Strings, Antman, 1980)
- How realistic is the D’Alembert plucked string (Euro. J. Phys, 1999)
- Can One Hear the Shape of a Drum? (Amer. Math. Monthly, 1966) (Wiki: Hearing the shape of a drum)
- Drums That Sound the Same (Amer. Math Monthly, 1995)
- Eigenvalues of Laplace on a L-shaped domain

a link Review paper (SIAM 1984) For equilateral triangle (SIAM 1980) a REU work From Cleve Moler (creater of Matlab) Matlab logo - Music and wave equation (a
course in Columbia) (The
Mathematics of Musical Instruments, Amer. Math. Monthly,
2001)

- Transport process in environmental studies (a course in MIT)
- Modeling mixing problem for multiple tanks with PDE (ODE setting, two tank problem)

Peter Olver's course