## MATH
520 Methods of Applied
Mathematics II Spring 2019

## MWF 1:10-2:00 184 Carver

INSTRUCTOR: Prof. P. Sacks
OFFICE: 436 Carver

TELEPHONE:
294--8143
EMAIL: psacks@iastate.edu

Class URL: orion.math.iastate.edu/psacks/classes/m520/math520.html

OFFICE HOURS: Monday and Tuesday 11-12, Wednesday and Friday 2- 3, or by appointment

TEXTBOOK:
Techniques of Functional Analysis for Differential and
Integral Equations by
P. Sacks

COURSE CONTENT:
Topics from Chapters 9-16 of textbook, including

- Linear operator theory
- Spectral
theory of diffferential and integral operators
- Green's
functions and boundary value problems
- Weak solutions of partial
differential equations and variational methods
- Calculus in Banach spaces
and applications

COURSE GRADING POLICIES:
Homework
assignments..................................50% of grade

Midterm
exam
............................................... 20%
of
grade

Final examination............................................ 30% of
grade

Homework
assignments will be given about
once a week and due about a week later. Discussion of homework problems
with other students is encouraged, but what is handed in should be your
own work. I am often willing to talk with you and give hints about the
assignments before they are due.

Midterm Exam:
Tentatively this is scheduled for the week of March 4-8, with exact
date to be determined later.

OTHER REFERENCES:

*Applied
Analysis *by
J. K. Hunter and B. Nachtergaele
- Theory of Linear Operators in
Hilbert Space, Volume 1, by
N. I. Akhiezer and I.M. Glazman
- Functional Analysis, Sobolev
Spaces and Partial Differential Equations, by
H. Brezis
*Functional
Analysis* by
P. Lax
- Functional Analysis by
F. Riesz and B. Sz.-Nagy

*Green's Functions
and Boundary Value Problems* by I.
Stakgold

If
a student has a disability that qualifies under the Americans with
Disabilities Act and Section 504 of the Rehabilitation Act and requires
accommodations, he/she should contact the Student Accessibility Service
(SAS) office for information on appropriate policies and procedures.
SAS is located on the main floor of the Student Services Building, Room
1076; their phone is 515-294-7220, email accessibility@iastate.edu.