UG Course Descriptions

Continuation of MATH 301-302, covering additional topics from calculus, including L’Hôpital’s Rule, improper integrals, infinite series, parametric equations, polar coordinates, vectors, and surfaces in space. This course continues with the principles from MATH 207-208, including lab exercises that utilize technology to address conceptual understanding, mathematical modeling, and data analysis. 2 hours lecture, 2 hours laboratory. (Prerequisite: MATH 207-208)

The culmination of the calculus sequence, covering topics in multi-variable calculus, including vector-valued functions, partial derivatives, multiple integration, and line integrals. The principles from the rest of the calculus sequence are continued in this course, including laboratory exercises that utilize technology to address conceptual understanding, mathematical modeling, and data analysis. 2 hours lecture and 2 hours laboratory. (Prerequisite: MATH 304)

The topics of this course include: basic concepts of probability; random variables, common distributions, and applications; and basic concepts of statistics including sampling distributions, confidence intervals, hypothesis testing, and regression. (Prerequisites: MATH 207 and 208 or MATH 301 and 302 or instructor’s approval)

This course introduces numerical techniques for approximating solutions to a variety of problems spanning algebra, differential and integral calculus, interpolation, differential initial-value equations, and linear systems. Convergence criteria and error analysis associated with approximation methods will also be considered. (Prerequisite: MATH 304 and CIS 218)

Ordinary differential equations taught from a mathematical modeling perspective. Topics include: first-order equations, linear equations with constant coefficients, special systems of equations, and special equations of higher order. Real-world applications and technology are integrated. (Prerequisite: MATH 302 or 208)

A rigorous introduction to the theory of groups, rings, and fields. (Prerequisite: MATH 303 and MATH 311 or instructor’s approval)

A study of vector spaces, matrices, determinants, and systems of linear equations. (Prerequisite: MATH 303)

This course covers the development of postulational systems. Both Euclidean and non-Euclidean geometry will be discussed. (Recommended prerequisite: MATH 303)

A rigorous treatment of the topics of calculus, including: sequences, limits, continuity, derivatives, integrals, and series. (Prerequisites: MATH 303, MATH 304)

Introductory survey of linear programming, dynamic programming, transportation and network theory, assignment problems, equipment replacement, scheduling problems, inventory cotrol, decision theory, queuing theory, game theory, and simulation. Emphasis will be on methodology. (Pre-requisites: CIS 218, MATH 311)