EC ENGR M208B

Main Course

Functional Analysis for Applied Mathematics and Engineering

Description

(Same as Mathematics M268A.) Lecture, four hours; outside study, eight hours. Requisites: course 208A (or Mathematics 115A and 115B), Mathematics 131A, 131B, 132. Topics may include Lp 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.

Prerequisites

• Choose 1 from:
  • Required: EC ENGR 208A

    Plan

    Taken?
• Required: MATH 131A

  Plan

  Taken?
• Required: MATH 131B

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  Taken?
• Required: MATH 132

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  Taken?