MATH 519 Methods of Applied Mathematics I Fall 2008
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 1-2, Wednesday 11-12 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.
OTHER REFERENCES:
- 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 515-294-6624.