01/26/2004 - 05/08/2004
Monday 06:00 PM - 08:30 PM
Science Tower 139
Discrete Mathematics, broadly defined, refers to those topics in classical and modern mathematics that do not depend on limiting processes. Some of these topics date from 2200 B.C., while others are under development at the present time. This area of study is becoming increasingly important due, in large part, to the availability of the computer and to the stimulation of problems from computer science.
Topics covered will include mathematical induction, set theory, relations and functions, and a considerable amount of combinatorics. This latter subject, sometimes defined as the study of the possible arrangement of objects, has many applications. Some of these will be explored. We will develop a certain amount of algebra--notably some elementary number theory including the theory of congruences, and the method of generating functions--to help us handle some of these problems.
A good grasp of basic algebra and an inquiring mind are the prerequisites.
A syllabus for this course is available at:
James Reid (B.S., M.A. Fordham University; Ph.D. University of Washington) is professor of mathematics, emeritus. He has published extensively in the field of Abelian Groups, including recent papers "Quotient divisible groups, omega-groups, and an example of Fuchs. Abelian groups, rings, modules, and homological algebra", 265-273, Lect. Notes Pure Appl. Math., 249, Chapman & Hall/CRC, Boca Raton, FL, 2006; "Endomorphism Rings of Free Modules," Rocky Mtn. J. Math., 2002; and "Some Matrix Rings Associated with ACD Groups," Proc. International Conference on Abelian Groups and Modules, Dublin, 1998.
Consent of Instructor Required: No
|Level: GLSP||Credits: 3||Enrollment Limit: 18|
Texts to purchase for this course:
Edward Schneiderrman, MATHEMATICS: A DISCRETE INTRODUCTION (Brooks Cole) Hardcover
READING MATERIALS AVAILABLE AT BROAD STREET BOOKS, 45 BROAD STREET, MIDDLETOWN, 860-685-7323
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