MTH 614 Functional Analysis
MTH 619 Topics in Analysis
Fall 2005
Instructor:
Juha
Pohjanpelto
Office/Phone: Kidder Hall 312,
737-5156
Office hours: Monday
2:10--3:00, Wednesday 10:00-10:50, or by appointment
Email:
juha@math.oregonstate.edu
Homepage:
www.oregonstate.edu/~pohjanpp
Historically, functional analysis
arose from the attempt to understand the algebraic, topological, and
geometric properties of various spaces of functions and of mappings
between them. Since the original works of Fréchet,
Hilbert,
Lebesgue, Banach, Schwartz, and others, functional analysis has grown
into a vast subject encompassing much of modern analysis, and it
currently exercises a profound influence on such varied fields as the
theory of differential equations, differential geometry, calculus of
variations, quantum mechanics, and numerical analysis.
Topics
in this introductory course
to functional analysis include
- Topological
vector spaces, Banach
and
Hilbert spaces
- Compact operators and their
spectral theory
- Distributions
- Applications
Prerequisites: MTH 511, MTH 512,
or equivalent
Text:
Robert Zimmer, Essential Functional
Analysis, The University of Chicago Press, 1990
Grading:
Your
grade will be based on 3 homework assignments, an
in-class midterm exam,
and a take-home final exam.
The homework assignments will be due October 14 (Homework
I), November 4, and
November 23. The midterm
exam is scheduled for
Friday, October 21 and the take-home final will be due at 4 p.m. on
December 2. The homework assignments count 35% towards your grade, the
midterm 25%, and the final exam 40%.
Last Changed: October 5,
2005