Partial Differential Equations

Graduate

Topics may include linear second order partial differential equations (parabolic, elliptic, and hyperbolic), separation of variables, eigenfunction expansion, Fourier series, method of characteristics, nonlinear waves. MATH 5763 Signal Processing Approximation theory, Fourier analysis, wavelet analysis, discrete signal processing, applications to audio and image processing and coding. MATH 5810 Research Seminar Preparation and practice for participating in research seminars. Includes attending all department research seminars and presenting once in each term.