Topics include distributions, fundamental solutions of partial differential equations, the Schwartz space and tempered distributions, Fourier transform, Plancherel theorem, Green's functions, Sobolev spaces, weak solutions, differential calculus in normed spaces, implicit function theorems, applications to nonlinear equations, smooth variational problems, applications to classical mechanics, constrained variational problems. Computational Science, Engineering, and Mathematics 386D and Mathematics 383D may not both be counted. Three lecture hours a week for one semester.

Explore fundamental aspects of measurement systems: sensing, signal processing, experimental methods, uncertainty analysis, detection, and estimation. Mechanical Engineering 383D and 397 (Topic: Thry/Dsgn of Mech Measurement) may not both be counted. Three lecture hours a week for one semester.