Functional Analysis I
MATH 571 - Fall 2017
MWF 12:30 - 1:20 pm, TLC 144
Instructor:
|
Lyudmyla Barannyk
317 Brink Hall
tel: (208) 885-6719
fax: (208) 885-5843
barannyk@uidaho.edu
office hours:
M,W 1:30-2:30 pm, F 10:30-11:20
am or by appointment
|
There is a class email list: math-571-f17@uidaho.edu.
You can make an alias for it. You can use the email list to ask me
questions that might be of interest to others in the class. You can
also email me at barannyk@uidaho.edu
with other questions.
Course Description
This course provides an introduction to the basic concepts,
principles and methods of functional analysis and its applications.
Topics to be covered include: metric spaces, normed and Banach
spaces, linear operators, inner product and Hilbert spaces,
fundamental theorems for normed and Banach spaces, spectral theory
of linear operators.
Textbook
Introductory Functional Analysis with Applications
by Erwin Kreyszig
Additional reading:
Functional Analysis: An
Introduction by Yuli Eidelman, Vitali Milman, Antonis
Tsolomitis
Elements of the Theory of Functions and Functional Analysis by
A.
N. Kolmogorov and S. V. Fomin
Syllabus
Download syllabus: .pdf
Learning Outcomes
- Students will understand and be able to articulate the key
concepts of Banach and Hilbert spaces as well as spectral theory
of linear operators.
- Students will learn the fundamental theorems for normed and
Banach spaces.
- Students will be able to apply knowledge of the above topics
to problems in real and functional analysis.
Handouts
in 
format
Lecture Notes
Schedule, Homework and Exams
Follow links in the table below to obtain a copy of the
homework in 
Adobe
Acrobat(.pdf) format.
| Homework Sets |
Due Date
|
hw1
|
Friday,
September 1
|
|
hw2 |
Monday,
September 11 |
|
hw3
|
Wednesday,
September 20 |
|
hw4
|
Friday,
September 29 |
|
hw5 |
Friday,
October 6
|
|
hw6
|
Friday,
October 13 |
hw7
|
Friday,
October 20 |
hw8
|
Friday,
October 27 |
|
hw9 |
Friday,
November 3 |
|
hw10 |
Friday, November 10
|
|
hw11 |
Friday,
November 17 |
|
hw12 |
Friday,
December 1
|
|
Friday,
December 8 |
Midterm:
Friday, October 20 in class
Final:
Wednesday, December 18, 3:00 - 5:00 pm, TLC
247
Grading
40%- Homework
25%- Midterm Exam
35%- Final Exam
Midsemester Questionnaire