I. Number and title of course

Mathematics 490 -- Seminar in Mathematics

A. To provide an opportunity for the student to gain experience in investigating and presenting to a group some topics of current interest to mathematicians.

B. To provide greater flexibility and depth in the mathematics program.

A. To enable the student to increase his proficiency in reading mathematics new to him and sharing with others the knowledge thus obtained.

B. To aid the student in developing an appreciation of the interrelation among the various branches of mathematics.

C. To promote the student's interest in exploring the ]Literature of mathematics.

Showing some areas of mathematics from which one or more might be selected for investigation: The list is not intended to be exhaustive.

A. Group Theory

B. Rings and Ideals

C. Combinatorial Analysis

D. Game Theory

E. Algebraic Geometry

F. Differential Geometry

G. Graph Theory

H. Design of Experiments

I. Sampling Theory

J. Fourier Series

K. Infinite Series

L. Partial Differential Equations

M. Integral Equations

N. Lebesque Integration

0. Measure Theory

P. Dimension Theory

A. Each area will have a bibliography, as for example, "Group Theory.11 Artin, E. Galois Theory. South Bend: University of Notre Dame Press, 1-944.

A. Lattice Theory. New York: Colloquium Publications, Birkhoff, Garret

American Mathematical Society, Vol. XXV, rev. ed., 1948. Burnside, W. S. Theory of Groups of Finite Order. New York: Dover Publications, 1960.

Carmicheal, R. D. Introduction to the Theory of Groups of Finite Order. New York: Dover Publications, 1956.

Fuchs, Laszlo. Abelian Groups. New York: Pergamon Press Inc., 1960.