Catalog 2024-2025

MAT - Mathematics

Credit cannot be earned in mathematics courses that are prerequisites for courses already completed.

MAT 150 Introductory Algebra

A study of the basic concepts of algebra such as first-degree equations, factoring, rational expressions, graphing, quadratic equations, exponents and radicals.

Credit Hours: 4

MAT 155 Finite Mathematics for Liberal Arts

Topics include social choice (voting, fair division, and apportionment), management science (graph theory), financial mathematics, probability and statistics (probability and odds, five number summaries and standard deviation, normal distributions, and linear regression).

Spartan Studies:

UTMAT

Credit Hours: 4

MAT 160 College Algebra

Topics include functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, and matrices.

Spartan Studies:

UTMAT

Credit Hours: 4

Prerequisites

MAT 150 or equivalent.

MAT 170 Precalculus

This course covers exponential and logarithmic functions, trigonometric functions, analytic trigonometry, applications of trigonometric functions and polar coordinates.

Spartan Studies:

UTMAT

Credit Hours: 4

Prerequisites

MAT 160 with a grade of "C" or higher, or equivalent.

MAT 180 College Geometry

This course covers the basic concepts of geometry to include properties of geometric shapes, transformations, similarity, problem solving and proof writing.
Credit Hours: 4

Prerequisites

MAT 160 or equivalent

MAT 201 Introduction to Statistics

An introduction to descriptive and inferential statistics, with applications in various disciplines using statistical computer software.

Spartan Studies:

UTMAT

Credit Hours: 4

Prerequisites

MAT 155 or higher, or equivalent.

MAT 225 Calculus for Business

This course is designed to provide students with the fundamental components of differential and integral calculus, with a particular emphasis on those aspects of calculus that have applications to business. The course covers exponential and logarithmic functions, limits, differentiation and differentiation techniques, applications of the derivative (e.g., marginal cost, marginal revenue, rate of growth), anti-derivatives, the integral as an area, functions of several variables, and partial derivatives.

Spartan Studies:

UTMAT

Credit Hours: 4

Prerequisites

MAT 160 or equivalent.

MAT 260 Calculus I

Covers limits, continuity, differentiation, applications of derivatives, integration, and integration by substitution.

Spartan Studies:

UTMAT

Credit Hours: 4

Prerequisites

MAT 170 with a grade of "C" or higher, or equivalent.

MAT 261 Calculus II

Covers integration techniques and applications, parametric and polar curves, sequences and infinite series.

Spartan Studies:

UTMAT

Credit Hours: 4

Prerequisites

MAT 260 with a grade of "C" or higher.

MAT 262 Calculus III

Covers vectors in two and three dimensional space, partial derivatives, multiple integration and vector calculus.

Credit Hours: 4

Prerequisites

MAT 261 with a grade of "C" or higher.

MAT 270 Discrete Mathematics for Computer Science

This course is designed for majors in computer science. It covers basic aspects of discrete mathematics that are fundamental to digital computing. Topics include sets and relations, numbers and sequences, mathematical logic, elementary combinatorics, graph theory, and related algorithms.
Credit Hours: 4

Prerequisites

MAT 260 Calculus I

MAT 271 Computational Linear Algebra

Covers linear equations, matrices and determinants. Vector spaces and linear transformations. Inner products and eigenvalues. Emphasizes computational aspects of linear algebra and applications.
Credit Hours: 4

Prerequisites

MAT 261 or PHY 205/PHY 205L or equivalent.

MAT 272 Applied Statistics

This course provides the basic understanding of descriptive and inferential statistics, with applications in various disciplines. It gives the insight into how a statistician gathers, summarizes, and draws conclusions from real life data. This course covers the basics of statistical testing, regression analysis, experimental design, analysis of variance, and use of statistical software (especially R) to analyze data.
Credit Hours: 4

Prerequisites

MAT 225 or MAT 260 with a grade of "C" or higher.

MAT 285 Programming with Mathematical Applications

This course teaches programming fundamentals, with an emphasis on mathematical applications. Topics include mathematical modeling and the mathematics behind technological advances.

Spartan Studies:

UTAMPA 200

Credit Hours: 4

Prerequisites

MAT 260 with a grade of "C" or higher

MAT 299 Introduction to Higher Mathematics

Covers proof techniques, basic set theory, relations and partitions, functions and cardinality.

Credit Hours: 4

Prerequisites

MAT 262 with a grade of "C" or higher.

MAT 300 Differential Equations

Covers first-order differential equations with applications, higher-order differential equations with applications, systems of differential equations and numerical solutions of differential equations.

Credit Hours: 4

Prerequisites

MAT 262 with a grade of "C" or higher.

MAT 301 Discrete Mathematics

Covers sets, induction, algorithms, recursion, matrices, relations, functions, digraphs, partially ordered sets, lattices, Boolean algebra, switching circuits, trees and combinatorial analysis.

Credit Hours: 4

Prerequisites

MAT 299 with a grade of "C" or higher.

MAT 308 Linear Algebra

Covers systems of equations, matrices, vectors spaces and subspaces, dimension, linear transformations, eigenvalues and eigenvectors.

Credit Hours: 4

Prerequisites

MAT 262 with a grade of "C" or higher.

MAT 310 Probability

The main objective of this course is to provide students with an introduction to probability and its applications. Basic ideas of probability and random variables, discrete probability functions, continuous probability densities, joint distributions, transformation of random variables, moments, and moment generating functions of random variables, and limit theorems will be discussed.
Credit Hours: 4

Prerequisites

MAT 262 with a grade of "C" or higher.

MAT 311 Financial Mathematics

This course provides an understanding of the fundamental concepts of financial mathematics. Topics covered: interest rate measurement, time value of money, annuities, loan payment, bond, general cash flows and portfolios (yield curves, rates of return, and measures of duration and convexity), cash flow matching and immunization, and interest rate swaps.
Credit Hours: 4

Prerequisites

MAT 261 with a grade of "C" or higher.

MAT 401 Real Analysis

Covers the theory of limits, continuity, differentiation and integration.

Credit Hours: 4

Prerequisites

MAT 299 with a grade of "C" or higher.

MAT 402 Applied Regression Analysis

This course provides the basic understanding of regression analysis and its application in real life. The course focuses on both theory and application of simple and multiple linear regression, and logistic regression. Topics covered are correlation, simple and multiple linear regression, model assumptions, parameter estimation, inference on regression model and parameters, regression diagnostic, model selection, multicollinearity, linear models with qualitative predictors, logistic regression, polynomial regression, and introduction to time series analysis. Students are required to analyze real-life datasets using statistical software.
Credit Hours: 4

Prerequisites

MAT 262 and MAT 272 with C or better

MAT 410 Complex Analysis

Covers complex numbers, analytic functions, elementary functions, integrals, series, residues and poles.

Credit Hours: 4

Prerequisites

MAT 299 with a grade of "C" or higher.

MAT 414 Actuarial Mathematics P

Actuarial Mathematics P is intended for, but not limited to actuarial science majors. The course covers the basic principles of insurance and risk management and introduces students to the actuarial profession. Students learn most of the content of Society of Actuaries (SOA) Exam P in Probability course. This course has a problem-solving approach, where probability theory is applied to solve problems related to quantitative assessment of risk and prepare students for SOA Exam P.
Credit Hours: 2

Prerequisites

MAT 310 with a grade of "C" or higher.

MAT 415 Actuarial Mathematics FM

Actuarial Mathematics FM is intended for, but not limited to actuarial science majors. Students learn most of the content of the Society of Actuaries (SOA) Exam FM in Financial Mathematics course. This course, in particular, has a problem-solving approach, where mathematics is applied to solve problems related to topics of interest theory, and prepares students for SOA Exam FM. 
Credit Hours: 2

Prerequisites

MAT 311 with a grade of "C" or higher.

MAT 420 Modern Abstract Algebra

Covers the theory of groups, rings and fields.

Credit Hours: 4

Prerequisites

MAT 299 with a grade of "C" or higher.

MAT 425 Mathematical Statistics

Mathematical Statistics is intended, but not limited to mathematics and actuarial science majors. This course focuses on inferential statistics and the theory of estimation. It covers several different methods of estimation, including the method of moments and the method of maximum likelihood. Students will become familiar with the construction of confidence intervals for unknown parameters, and construction of hypothesis tests via the likelihood ratio.
Credit Hours: 4

Prerequisites

MAT 272 and MAT 310 with a grade of "C" or higher.

MAT 450 Independent Study

Involves independent study directed by a full-time mathematics faculty member on a topic agreed upon by the faculty member and the student. May be repeated for credit if subject matter varies.
Credit Hours: 1-4

Prerequisites

Consent of department chair.

MAT 490 Senior Seminar

This course is an in-depth study of a topic in actuarial science, computer science, data science, mathematics, or statistics. All topics should have a strong understanding in mathematical principles. Consultation with a faculty mentor, independent research and study, and a presentation of results are required.

Credit Hours: 1

Prerequisites

Senior standing in mathematics, mathematics with computer science, data science, or actuarial science. Permission of the department chair is required.

MAT 491 Undergraduate Research in Mathematics

This course provides a research experience in different topics of mathematics. Students select a specific research topic to investigate in collaboration with the instructor. The research work culminates with a presentation at an undergraduate conference, and optionally a publication.
Credit Hours: 2

Prerequisites

MAT 299 with a grade of "C" or higher. If the class is taken in place of MAT 490, then the student must have completed at least four (4) mathematics courses numbered MAT 300 or above.

MAT 492 Math Assessment

This course is for assessment at the program level. Students will complete assessment instruments which may include a cumulative mathematics exam and an exit survey. 

Credit Hours: 0

Prerequisites

Math majors and Math with Computer Science majors & Senior standing

MAT 495 Internship in Mathematics

This internship exposes the student to a real-life learning experience. Students are hired by an organization for the specific objective of gaining work experience in that organization. The internship might be paid or unpaid, for a variable number of credit hours (1-4).  A student should work 56 hours for one credit hour. The internship should be in the actuarial field or other math-related fields, previously approved by the instructor.
Credit Hours: 1-4

Prerequisites

Junior or senior standing with a GPA of 2.25 or higher.

MAT 499 Selected Topics

Subject may be chosen from point-set topology, partial differential equations, combinatorics, graph theory or other topics.

Credit Hours: 1-4