2700 Linear Algebra Vector spaces, matrices, and linear transformations with applications to the solutions of linear equations, determinants, eigenvalues, and orthogonality. History of Mathematics A survey of mathematical ideas and discoveries in their historical context. Offered in 1999-2000 and alternate years. Introduction to Advanced Mathematics Induction, fundamentals of set theory and logic, cardinal numbers, partially ordered sets, relations, and functions. Introduction to basic structures to algebra and analysis.
Emphasis is on theorem proving.
I Theory of probability and mathematical statistics including discrete and continuous random variables, moment generating functions, Chebyshev s Inequality and special distributions. Offered in 1999-2000 and alternate years. Abstract Algebra I Introduction to classical algebraic systems and their morphisms. Topics include groups, rings, integral domains, fields, substructures, ideals, homomorphisms, and quotients. Offered in 1999-2000 and alternate years.