Musical Analysis and Synthesis in Matlab.

Presents musical examples and computer tools that could be used in an introductory partial differential equation and Fourier Series class, where students work with the heat and wave equations. Analysis of the wave forms and harmonics of recorded sounds; Relation of a wave form composed of a summation of Fourier Series basis functions to the frequency domain; Wave equation with Dirichlet boundary conditions; Modes of a vibrating string.