In the Spring I am teaching:
MATH 322 This course is a continuation of MATH 321. Point-set topology in metric spaces with attention to n-dimensional space; completeness, compactness, connectedness, and continuity of functions. Topics in sequences, series of functions, uniform convergence, Fourier series and polynomial approximation. Theoretical development of differentiation and Riemann integration. We will be using a textbook entitled, "Real Mathematical Analysis", by Charles Chapman Pugh, and a textbook entitled, "Elements of Real Analysis", by David A. Spreche. If you have questions, you may contact me by e-mail. I check my mail regularly, so this is an excellent way to reach me, and I am always happy to hear from you.
MATH 308 This is the second semester of an integrated, two-semester theoretical course in abstract and linear algebra, studied on an axiomatic basis. The major algebraic structures studied are groups, rings, fields, and modules. We will be using a textbook entitled, "A Book of Abstract Algebra", by Charles C. Pinter. If you have questions, you may contact me by e-mail. I check my mail regularly, so this is an excellent way to reach me, and I am always happy to hear from you.
In theFall 2013 term I taught:
MATH 303 - Introduction to Number Theory and Cryptology. We will be using a textbook entitled, "A Friendly Introduction to Number Theory, 4th Edition", by Joseph H. Silverman. This course develops basic concepts in number theory and investigates applications to the exciting field of secure communications and cryptosystems.
MATH 321 - Fundamentals of Analysis I. This course is an introduction to abstract mathematical reasoning in the context of analysis in Euclidean space. Topics include formal reasoning, sets and functions, and the number systems; infinite sequences and series; Cauchy sequences and convergence; the elementary topology of point sets.
(This page was last updated on 12/26/13)