A formal study of the classical theory of numbers including such topics as divisibility, primes, congruency, Diophantine equations, number theoretic functions, and quadratic reciprocity. A study of the various ways in which technology can be used in the K-12 classroom. The development of mathematical ideas, from ancient to modern times and their relevance for other fields of knowledge.
Special attention is given to several of the most important original writings in mathematics.
A formal study of basic and advanced concepts of Euclidean, non-Euclidean and projective geometry. The designs of mathematical models for solving problems in the physical, social, and life sciences. Emphasis is on the use of mathematics in such problems as traffic flow, group decision making and queuing. A study of discrete algebraic structures. See BIOL 7500 for course description.