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Math M268A: General Course Outline

Catalog Description

268A. Functional Analysis for Applied Mathematics and Engineering. (Formerly numbered 268A.) (Same as Electrical Engineering M208B.) Lecture, four hours. Requisites: courses 115A and 115B (or Electrical Engineering 208A), 131A, 131B, 132. Topics may include L^{p} spaces, Hilbert, Banach, and separable spaces; Fourier transforms; linear functionals. Riesz representation theory, linear operators and their adjoints; self-adjoint and compact operators. Spectral theory. Differential operators such as Laplacian and eigenvalue problems. Resolvent distributions and Green's functions. Semigroups. Applications. S/U or letter grading.