Mathematics Graduate Courses (MATH)

6300 Historical Survey of Mathematics for Educators (30). Historical development of selected mathematical concepts, terminology, and algorithms; impact of mathematics on the development of our culture; major figures in the development of mathematics.
6305 Foundations of Mathematics for Educators (30). A survey of foundational topics in mathematics, including propositional and first order logic, naive set theory and its paradoxes, the concept of infinity, and the axiom of choice.
6314 Number Theory for Educators (30). A survey of number theory topics including Pythagorean triples, linear Diophantine equations, congruences, Fermat’s Little Theorem, Euler’s Formula, Mersenne Primes, perfect numbers, Carmichael numbers, primitive roots, quadratic reciprocity, and Pell’s equation.
6317 Probability for Educators (30). A survey of probability topics including combinatorics, conditional probability and independence, jointly distributed random variables, limit theorems, and applications relevant to the classroom.
6320 Mathematical Modeling for Educators (30). A study of qualitative and quantitative models using techniques which may include interpolation, linear programming, difference equations, differential equations, model fitting, geometric similarity, dimensional analysis, simulation, probability, graph theory, decision theory, or game theory.
6321 Geometry for Educators (30). Classical geometry taught from a historical prospective. Topics include a study of Euclid’s Elements, Euclid’s Axiomatic Method, coordinates, vectors, Euclidean spaces, perspective, and projective planes. Additional topics as time permits.
6327 Graph Theory for Educators (30). A study of trees, paths, cycles, connectivity, matching theory, graph coloring, planarity, integer flows, and surface embeddings. Other advanced topics as time allows.
6333 Statistics for Educators I (30). A survey of statistical methods including distribution, central tendency, variability, confidence intervals, hypothesis tests, and regression; some basic probability.
6334 Statistics for Educators II (30). A survey of statistical methods including nonparametric methods, regression, and ANOVA; some basic probability.
Prerequisite: Mathematics 6333.