Abstract
This article presents musical examples and computer tools that could be used in an introductory pde and Fourier Series class, where students work with the heat and wave equations. The study of Fourier series from a musical perspective offers great in- sight into basic mathematical concepts and the physics of musical instruments. Tools available in Matlab allow students to easily analyze the wave forms and harmonics of recorded sounds and to synthesize their own. These experiments are a thought pro- voking way to understand how a wave form is composed of a summation of Fourier Series basis functions and how this relates to the frequency domain. Many students I have worked with have special musical interests and go on to conduct experiments with their own instruments. The plucked string. One of the standard problems in an introductory pde course is the wave equation with Dirichlet boundary conditions,
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