MATH 6360 FALL 1999
COURSE INFORMATION

Instructor: 		 Prof. S. Canic 

Room 620, PGH 

Phone 743-3466 		 e-mail canic@math.uh.edu 
Course Number: 		 MATH 6360 		 Section 08313 
Time: 		 Tu-Th 10-11:30 		  Room 203 AH 

Text:

1.

N. Kolmogorov and S. V. Fomin, Introductory Real Analysis, Dover, New York, 1975. (At bookstore)

2.

Charles W. Groetsch, Elements of Applicable Functional Analysis, Dekker, New York, 1980, (Reserve Section of Library).

Background References:

1.

R. Creighton Buck, Advanced Calculus, McGraw-Hill, New York, 1978.

2.

M. H. Protter and C. B. Morrey, A First Course in Real Analysis, Springer-Verlag, New York, 1977. (Library, QA 300 .P968).

3.

W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, New York, 1964.

Topics:

1.

Metric spaces: convergence, completeness and compactness. The Arzelà - Ascoli theorem and applications to differential equations and the calculus of variations.

2.

The contraction mapping principle: inverse and implicit function theorems; applications in differential and integral equations.

3.

Linear spaces: Banach and Hilbert spaces; linear operators; the Reisz representation; the Hahn-Banach theorem; compact operators.