40000

This course develops rigorous understanding of algebraic structures.  Students construct and critique proof of properties concerning finite groups, finite simple groups, rings, integral domains, fields, polynomial rings, ring factorization, extension fields, finite fields, Sylow Theorems, and Lagrange's Theorem.
Prerequisite:  A "C" or better in MAT 30243 Transitions to Higher Mathematics.

Introduces numerical techniques and algorithms fundamental to scientific computer work including discussion of error, roots of equations, interpolation, systems of equations, numerical integration and methods of solution of ordinary differential equations. Prerequisite: MAT 21144 Calculus II.

Advanced Undergraduate Topic introduces the student of mathematics to university instruction of an advanced undergraduate mathematics course. Which course offered will be determined by mutual consent of instructor and students with interest at point of offering. Prerequisite: A C or better in MAT 30243 Transition to Higher Mathematics and instructor consent.

Introduction to Real Analysis develops the theory of calculus carefully and rigorously from basic principles, giving the student of mathematics the ability to construct, analyze and critique mathematical proofs in analysis. Prerequisite: A C or better in MAT 30243 Transitions to Higher Mathematics.

Capstone course that evaluates comprehensive knowledge of undergraduate mathematics.  Assessment includes narrative from student describing his/her understanding of the program's learning objectives, comprehensive assessment of intuitive undergraduate mathematics, and a research component whereby the student submits some original mathematics. Prerequisite:  Completion of all required major courses or instructor consent.