Prerequisites: MATH 005C with a grade of C- or better or MATH 009C with a grade of C- or better or MATH 09HC with a grade of C- or better; MATH 010B with a grade of C- or better; MATH 031 with a grade of C- or better, may be taken concurrently; MATH 046 with a grade of C- or better or MATH 146A with a grade of C- or better; MATH 110 with a grade of C- or better
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).