Mathematics majors learn knowledge and awareness of: basic real analysis of one variable, calculus of several variables and vector analysis, basic linear algebra and the theory of vector spaces, the structure of mathematical proofs and definitions and at least one additional specialized area of mathematics. In addition, students completing a degree in mathematics are expected to acquire the ability and skills to move from concrete to abstract thinking and back with facility; recognize patterns and connections between areas of mathematics and between mathematics and other subjects; and organize and construct a logical argument, provide evidence to support arguments and clearly articulate arguments, both verbally and in writing.
Those who specialize in mathematics are needed by almost all companies engaged in industrial and scientific research. In addition, organizations involved in computational work or statistical analysis make use of the talents of those trained in this field. Advanced work is necessary for students who plan to do research in pure mathematics. Career options for mathematics majors who have completed both theoretical and practical courses include jobs in business, industry, science and government.
The mathematics program offers four tracks which lead to the BA degree. The comprehensive track emphasizes theoretical mathematics, and is aimed at students seeking a general background in mathematics or intending to pursue graduate work in mathematics. The applicable track emphasizes computational mathematics. The secondary education track is designed to align with the Colorado licensure requirements for mathematics secondary education, and the university does offer a program for obtaining secondary education mathematics teaching licensure. The computational track is designed for students with an interest in the intersection of mathematics and computer science. All four tracks require calculus, MATH 2001, MATH 3001 and MATH 3130.
The department offers both a Master of Science and Master of Arts, as well as a PhD in Mathematics. The graduate faculty is a diverse group with areas of research that include algebra, algebraic geometry, combinatorics, differential equations, differential geometry, logic and foundations, modern analysis, noncommutative geometry, number theory, operator algebras, probability and topology.