## MATH 519 Methods of Applied Mathematics I Fall 2013

TIME: MWF 2:10-3:00PM
PLACE: 68 Carver

INSTRUCTOR: Prof.
P. SACKS
OFFICE: 436 Carver

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

Class URL:
www.public.iastate.edu/~psacks/classes/m519/math519.html

OFFICE HOURS: Monday and Friday 11-12, Wednesday 1-2, Tuesday and Thursday 2-3, or by appointment

TEXTBOOK: *Applied Analysis *by J. K. Hunter and B. Nachtergaele

COURSE CONTENT:

- Model problems in integral equations, ordinary and partial
differential equations, review of some analytical techniques
- Vector spaces, metric spaces, basic theory of Hilbert and Banach
spaces, important function spaces
- Contraction mapping theorem and applications
- Distributions
- Fourier series and Fourier transform

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.

CLICK HERE FOR HOMEWORK ASSIGNMENTS

CLICK HERE FOR RECOMMENDED READING IN THE TEXT

FINAL EXAM TAKES PLACE WEDNESDAY, DECEMBER 18, 2:15-4:15 PM

OTHER REFERENCES:

- Functional Analysis, Sobolev Spaces and Partial DIfferential Equations, by H. Brezis
*Functional Analysis* by P. Lax
*Mathematics for the Physical Sciences* by L. Schwartz
*Green's Functions and Boundary Value Problems* by I. Stakgold
*Partial Differential Equations, an Introduction* by W. Strauss
*A Guide
to Distribution Theory and Fourier Transforms* by R. Strichartz
*A First Course in Partial Differential Equations with Complex
Variables and Transform Methods* by H. Weinberger

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 Disability Resources (DR) office for
information on appropriate policies and procedures. DR is located on the main
floor of the Student Services Building, Room 1076; their phone is 515-294-7220.