Prerequisites: MATH 009C or MATH 09HC; MATH 010B; MATH 046 or MATH 146A; MATH 113 or MATH 131 (MATH 113 or MATH 131 may be taken concurrently)
Description: Covers Fourier series expansions of periodic functions, properties, and convergence; the Dirichlet kernel; Fourier integrals and the Fourier transform in one and several variables; the Plancherel theorem; and Fourier inversion. Includes applications of Fourier analysis (e.g., to spectral theory, numerical analysis, ordinary and partial differential equations, and wavelet transform).