How do strings vibrate and what forces slow them?
How can one still a vibrating body as quickly as possible?
Can one deduce material properties of a body from measurements
of its vibrations?
Design, build and use a state-of-the-art monochord.
Measure complex eigenvalues and learn numerical means for computing
such eigenvalues. Build and test models of viscoelastic wound strings.
Prerequisite: consent of instructor.
Schedule, notes, MATLAB codes, etc.
Inverse Spectral Theory. Learn what the eigenvalues known.
We will cover one beautiful method, , in depth and survey
the methods in  and .
Prerequisite: complex analysis.
 J. Pöschel and E. Trubowitz.
Inverse Spectral Theory.
Academic Press, 1987.
 H. Dym and H. P. McKean.
Gaussian Processes, Function Theory and the Inverse Spectral Problem.
Academic Press, 1976.
 B. M. Levitan.
Inverse Sturm-Liouville Problems.
Archive: Fall 2005 Seminar