MAT - Mathematics
Credit cannot be earned in mathematics courses that are prerequisites for courses already completed.
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
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).
Credit Hours: 4
Topics include functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, and matrices.
Credit Hours: 4
Prerequisites
MAT 150 or equivalent.
This course covers exponential and logarithmic functions, trigonometric functions, analytic trigonometry, applications of trigonometric functions and polar coordinates.
Credit Hours: 4
Prerequisites
MAT 160 or equivalent.
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
An introduction to descriptive and inferential statistics, with applications in various disciplines using statistical computer software.
Credit Hours: 4
Prerequisites
MAT 155 or equivalent (or higher).
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.
Credit Hours: 4
Prerequisites
MAT 160 or equivalent.
Covers limits, continuity, differentiation, applications of derivatives, integration, and integration by substitution.
Credit Hours: 4
Prerequisites
MAT 170 with a grade of "C" or higher, or equivalent.
Covers integration techniques and applications, parametric and polar curves, sequences and infinite series.
Credit Hours: 4
Prerequisites
MAT 260 with a grade of "C" or higher.
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.
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
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 equivalent
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.
This course teaches programming fundamentals such as program design and modularity, with an emphasis on mathematical applications. Mathematical fields from which problems will be drawn include number theory, linear algebra, statistics, differential equations, multivariable calculus and modeling.
Spartan Studies:
UTAMPA 200
Credit Hours: 4
Prerequisites
MAT 261 with a grade of "C" or higher
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.
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.
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.
Covers systems of equations, matrices, vectors spaces and subspaces, dimension, linear transformations, eigenvalues and eigenvectors.
Credit Hours: 4
Prerequisites
MAT 299 with a grade of "C" or higher.
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.
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.
Covers the theory of limits, continuity, differentiation and integration.
Credit Hours: 4
Prerequisites
MAT 299 with a grade of "C" or higher.
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
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.
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.
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.
Covers the theory of groups, rings and fields.
Credit Hours: 4
Prerequisites
MAT 299 with a grade of "C" or higher.
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.
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.
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.
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.
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.
Subject may be chosen from point-set topology, partial differential equations, combinatorics, graph theory or other topics.
Credit Hours: 1-4