IAM 933 (01) - Applied Functional Analysis

Applied Functional Analysis

Durham   Engineering&Physical Sciences :: Integrated Applied Mathematics
Credits: 3.0
Term: Spring 2022 - Full Term (01/25/2022 - 05/09/2022)
Grade Mode: Letter Grading
Class Size:   12  
CRN: 56375
Introduction to rigorous mathematical analysis from the perspective of applications. Topics include: metric and normed spaces; convergence; completeness; continuity; Lebesgue measure theory; convergence theorems; Banach, Hilbert, Lp, and Sobolev spaces; orthogonality, bases, and projections; Sturm-Liouville theory; spectral theory; distributions; and weak solutions. Applications including to differential and integral equations, are presented throughout. Prereq: real analysis or graduate introductory courses in mathematical physics or applied mathematics.
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Instructors: Mark Lyon

Times & Locations

Start Date End Date Days Time Location
1/25/2022 5/9/2022 MW 12:40pm - 2:00pm KING N345