MATH 6220

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  • Schedule of Classes - October 16, 2026 7:07PM EDT

MATH 6220
Applied Functional Analysis

Course information provided by the 2026-2027 Catalog.

Functional analysis is a branch of mathematical analysis that mainly focuses on the study of infinite-dimensional vector spaces and the operators acting upon them. It builds upon results and ideas from linear algebra and real and complex analysis to develop general frameworks that can be used to study analytical problems. Functional analysis plays a pivotal role in several areas of mathematics, physics, engineering, and even in some areas of computer science and economics. This course will cover the basic theory of Banach, Hilbert, and Sobolev spaces, as well as explore several notable applications, from analyzing partial differential equations (PDEs), numerical analysis, inverse problems, control theory, optimal transportation, and machine learning.


Prerequisites MATH 6110 or MATH 6210 or equivalent.

Last 4 Terms Offered 2026SP, 2025SP, 2024SP, 2022SP

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Syllabi: none

  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  • 16079 MATH 6220   LEC 001

  •  
    • TR
    • Jan 25 - May 11, 2027

    • Yang, Y

  • Instruction Mode: In Person