— Analysis

Prerequisites & course information

This version has ended; see updated course, below. Course Description: Metric and normed spaces. Continuous functions. Topological, Hilbert, and Banach spaces. Fourier series. Spectrum of bounded and compact linear operators. Linear differential operators and Green's functions. Distributions. Fourier transform. Measure theory. Lp and Sobolev spaces. Differential calculus and variational methods. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Grade Mode: Letter. MAT 201B — Analysis (4 units) Course Description: Metric and normed spaces. Continuous functions. Topological, Hilbert, and Banach spaces. Fourier series. Spectrum of bounded and compact linear operators. Linear differential operators and Green's functions. Distributions. Fourier transform. Measure theory. Lp and Sobolev spaces. Differential calculus and variational methods. Prerequisite(s): Graduate standing in Mathematics or Applied Mathematics, or consent of instructor. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Grade Mode: Letter. MAT 201B — Analysis (4 units) Course Description: Metric and normed spaces. Continuous functions. Topological, Hilbert, and Banach spaces. Fourier series. Spectrum of bounded and compact linear operators. Linear differential operators and Green's functions. Distributions. Fourier transform. Measure theory. Lp and Sobolev spaces. Differential calculus and variational methods. Prerequisite(s): Graduate standing in Mathematics or Applied Mathematics, or consent of instructor. Learning Activities: Lecture 3 hour(s), Term Paper/Discussion 1 hour(s). Enrollment Restriction(s): Open to graduate students; open to undergraduate students with consent of instructor. Grade Mode: Letter. This course version is effective from, and including: Winter Quarter 2027.