# Applied Functional Analysis

## MATH-6220

A basic course in the concepts of linear functional analysis, including such topics as Banach and Hilbert spaces, L^p and l^p (sequence) spaces; weak, strong and weak* convergence; linear functionals; linear bounded, unbounded, closed, and compact operators; spectrum, resolvent, the spectral theorem for compact operators, Fredholm alternative; applications are to differential equations, integral equations and optimization.

4 credits
Prereqs:
MATH-4100 Linear Algebra
and
MATH-4200 Mathematical Analysis
and
MATH-4300 Intro To Complex Variables
and
MATH-4600 Advanced Calculus

# Past Term Data
Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
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Detailed View

| Spring | Summer | Fall
--- | --- | --- | ---
| (Session 1) | (Session 2) |
2025 |  |  |
2024 |  |  |
2023 |  |  | Applied Functional Analysis (4c) Fengyan Li Seats Taken: 5/20
2022 |  |  |
2021 |  |  | Applied Functional Analysis (4c) Fengyan Li Seats Taken: 3/30
2020 |  |  |
2019 |  |  | Applied Functional Analysis (4c) David Isaacson Seats Taken: 4/20
2018 |  |  |
2017 |  |  | Applied Functional Analysis (4c) Fengyan Li Seats Taken: 7/20
2016 |  |  | Intro To Func Analysis (4c) Joyce R. McLaughlin Seats Taken: 8/20
2015 |  |  | Intro To Func Analysis (4c) Joyce R. McLaughlin Seats Taken: 12/30
2014 | Intro To Func Analysis (4c) Chjan C Lim Seats Taken: 8/30 |  | Intro To Func Analysis (4c) Joyce R. McLaughlin Seats Taken: 8/30
2013 |  |  |
2012 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 12/30
2011 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 10/30
2010 |  |  | Intro To Functional Analysis (4c) Michael Zuker Seats Taken: 4/30
2009 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 7/30
2008 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 16/30
2007 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 2/20
2006 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 10/20
2005 |  |  | Intro To Functional Analysis (4c) Chjan C Lim Seats Taken: 4/20
2004 |  |  | Intro To Functional Analysis (4c) Chjan C Lim Seats Taken: 9/20
2003 |  |  | Intro To Functional Analysis (4c) Thomas Pok-Yin Yu Seats Taken: 3/20
2002 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 9/20
2001 |  |  | Intro To Functional Analysis (4c) Thomas Pok-Yin Yu Seats Taken: 5/20
2000 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 9/20
1999 |  |  | Intro To Functional Analysis (4c) David Isaacson Seats Taken: 8/20
1998 |  |  | Intro To Functional Analysis (4c) Joyce R. McLaughlin Seats Taken: 7/20