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-4300 Introduction to Complex Variables: Theory and Applications

and

MATH-4200 Mathematical Analysis I

and

MATH-4600 Advanced Calculus

Past Term Data

Offered

Not Offered

Offered as Cross-Listing Only

No Term Data

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	Spring	Summer		Fall
		(Session 1)	(Session 2)
2023				Applied Functional Analysis (4c) Fengyan Li Seats Taken: 3/20
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