MATH 418 - Fourier Analysis

Credits 3
An introduction to principles and applications of Fourier series and Fourier transforms. Includes Fourier sine and cosine series, complex form of Fourier series, Parseval's theorem, Fourier integral, Fourier transform and its properties, convolutions, application to partial differential equations, windowed Fourier transforms, Shannon's sampling theorem, discrete Fourier transform, sampled Fourier series, the n-point DFT and filtering, fast Fourier transform, amplitude and frequency modulation, application to music composition and a brief introduction to wavelets.
May not be audited.