Course Number: 0132
Credit Hours: 1
Title: Foundations of Contemporary Mathematics

Course Description:
This course is intended for Non-STEM (Science, Technology, Engineering and Mathematics) majors who are also taking MATH 1332. Topics include fractions, sets, logic and number sense in support of the MATH 1332 curriculum. This course is not applicable toward any degree.

Course Number: 0213
Credit Hours: 2
Title: Foundations of Mathematics for Allied Health

Course Description:
This course will provide the necessary review and foundation of topics in college algebra necessary for successful completion of Math 1313. Topics include graphing, functions, and solving equations.

Course Number: 0214
Credit Hours: 2
Title: Foundations of College Algebra

Course Description:
This course will provide the necessary review and foundation of topics in college algebra necessary for successful completion of MATH 1314. Topics include graphing, functions and solving equations. This course is not applicable toward any degree.

Course Number: 0224
Credit Hours: 2
Title: Foundations of Business Math

Course Description:
This course will provide the necessary review and foundation of topics in algebra and business topics for successful completion of MATH 1324. Topics students study include linear, quadratic and polynomial functions. This course is not applicable toward any degree.

Course Number: 0242
Credit Hours: 2
Title: Foundations of Statistical Methods

Course Description:
This course will provide the necessary review and foundation of topics in data analysis and statistics necessary for successful completion of MATH 1342. Topics students study include graphical representations of data, slope and linear equations, fractions, probability and support for computer skills. This course is not applicable toward any degree.

Course Number: 0270
Credit Hours: 2
Title: Special Topics in Foundations of Mathematics

Course Description:
Topics in foundations of mathematics to suit the needs of individual students. This course is not applicable toward any degree. It may be taken as a co-requisite of MATH 1342, MATH 1314 or other first-year mathematics courses as deemed appropriate by the Director of First-Year Mathematics Experience.

Course Number: 0370
Credit Hours: 3
Title: Foundations in College Mathematics

Course Description:
This course will provide the necessary review and foundation in topics in foundations of basic mathematics and algebra skills necessary to prepare students for co-requisite course entry into first-year mathematics courses. Topics include whole numbers, integers, fractions, decimals, ratios and proportions, percent, and introductory algebra topics. This course is not applicable toward any degree.

Course Number: 0372
Credit Hours: 3
Title: Foundations in Precalculus

Course Description:
This course will provide the necessary review and foundations of topics in algebra necessary for successful completion of MATH 2311. Topics students study include solving linear and quadradic equations, functions and functional notation, as well as other topics for just-in-time review for MATH 2311. This course is not applicable toward any degree.

Course Number: 1313
Credit Hours: 3
Title: Mathematics for Allied Health

Course Description:
This course is designed for future health care professionals in the fields of practical nursing and veterinary technology. Selected mathematical skills relevant to the subject are included in the course, such as algebra and trigonometry.

Course Number: 1314
Credit Hours: 3
Title: College Algebra(Non-Calculus)

Course Description:
A beginning course in the study and application of polynomial, rational, exponential and logarithmic functions, and systems of equations. Students will learn how to solve polynomial, rational and absolute values equations and inequalities, function notation, exponential and logarithm functions and solve systems of equations. This course DOES NOT prepare students to advance to the Calculus sequence.

Course Number: 1316
Credit Hours: 3
Title: Trigonometry

Course Description:
This course introduces the basic concepts of trigonometry. Students study trigonometric functions, graphs, identities, inverse trigonometric functions, trigonometric equations, and applications of trigonometry. Recommended for students who have not had high school trigonometry.

Course Number: 1324
Credit Hours: 3
Title: Mathematics for Business and Social Sciences

Course Description:
This course will introduce students to the basics of mathematics used in business and social sciences. The course will cover the application of common algebraic functions, including polynomial, exponential, and logarithmic, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value.

Course Number: 1332
Credit Hours: 3
Title: Contemporary Mathematics I

Course Description:
This course includes introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology and communication are embedded throughout the course. This course is intended for non-STEM (Science, Technology, Engineering and Mathematics) majors.

Course Number: 1333
Credit Hours: 3
Title: Contemporary Mathematics II

Course Description:
Intended for non-STEM (Science, Technology, Engineering and Mathematics) majors. Topics include number systems, graph theory and voting theory. Additional topics may be covered.

Course Number: 1342
Credit Hours: 3
Title: Elementary Statistical Methods

Course Description:
A beginning course in the collection, analysis, presentation and interpretation of data and probability. Students will conduct analysis of data using descriptive statistics, correlation and regression, confidence intervals and hypothesis testing.

Course Number: 1350
Credit Hours: 3
Title: Fundamentals of Math for Elementary School Teachers

Course Description:
This course introduces the theory behind elementary concepts and serves as a refresher of elementary computations. A connection between elementary concepts, state standards, and state testing will be made. PLEASE NOTE : Enrollment for this course is restricted to Interdisciplinary Studies majors only.

Course Number: 1351
Credit Hours: 3
Title: Math for Elementary Educators

Course Description:
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the concepts of geometry, measurement, probability, and statistics with an emphasis on problem solving and critical thinking.

Course Number: 2311
Credit Hours: 3
Title: Precalculus I

Course Description:
This course is an in depth study of topics from algebra. Students study polynomials, solving a variety of equations (linear, quadratic, radical, absolute value and systems of equations), solving inequalities, graphs of basic equations, functions and properties of functions, exponential and logarithm functions as well as applications using the various functions from the class.

Course Number: 2312
Credit Hours: 3
Title: Pre Calculus and Elementary Functions

Course Description:
This course is an intensive review of concepts from algebra, trigonometry and analytic geometry that are needed in a Calculus course. Students study inverse functions, exponential and logarithmic functions, the unit circle, right triangle trigonometry, trigonometric functions and their inverses, trigonometric identities, laws of sines and cosines, techniques for solving exponential, logarithmic, and trigonometric equations.

Course Number: 2318
Credit Hours: 3
Title: Linear Algebra

Course Description:
This course introduces and provides models for application of the concepts of vector algebra. Topics include finite dimensional vector spaces and their geometric significance; representing and solving systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion; matrices; determinants; linear transformations; quadradic forms, eigenvalues and eigenvectors; and applications in science and engineering.

Course Number: 2320
Credit Hours: 3
Title: Ordinary Differential Equations

Course Description:
This course will introduce students to the topic of solving differential equations. Students will learn how to solve first order differential equations using either integrating factor or separating variables, apply undetermined coefficients or variation of parameters to find the solution to a constant coefficient nonhomogeneous 2nd order differential equation, use Laplace transforms to determine the solution to a differential equations and to use eigenvalues and eigenfunctions to find the solution to a system of differential equations.

Course Number: 2413
Credit Hours: 4
Title: Calculus and Analytical Geometry I

Course Description:
This course introduces the basic concepts of single variable Calculus. Students study limits and continuity, the derivative, techniques for differentiation of algebraic, logarithmic, exponential and trigonometric functions, indefinite and definite integrals, applications of the derivative and anti-differentiation, Fundamental Theorem of Calculus. This course meets for five lecture hours per week.

Course Number: 2414
Credit Hours: 4
Title: Calculus and Analytical Geometry II

Course Description:
This course continues the student of concepts of single variable calculus. Students study further integration techniques such including integration by parts and trig substitutions. In addition, students are introduced to the concepts of parametric equations, sequences, series and vectors. Students will also be introduced to several applications of calculus. This course meets for five lecture hours per week.

Course Number: 2415
Credit Hours: 4
Title: Calculus III

Course Description:
This course will further the study of vectors and calculus involving vectors. In addition, the course will introduce the concepts of multi-variable calculus. Students will study limits, partial derivatives, multiple integrals, line integrals and surface integrals. Students will also investigate important theorems of multi-variable calculus including Green’s Theorem, Stokes’ Theorem and the Divergence Theorem.

Course Number: 3300
Credit Hours: 3
Title: History of Mathematics

Course Description:
Historical origin and development of mathematical concepts through the sixteenth century. Topics include Egyptian and Babylonian mathematics, Greek mathematics, and early European mathematics.

Course Number: 3301
Credit Hours: 3
Title: Ordinary Differential Equations

Course Description:
This course will introduce students to the topic of solving differential equations. Students will learn how to solve first order differential equations using either integrating factor or separating variables, apply undetermined coefficients or variation of parameters to find the solution to a constant coefficient nonhomogeneous 2nd order differential equation, use Laplace transforms to determine the solution to a differential equations and to use eigenvalues and eigenfunctions to find the solution to a system of differential equations.

Course Number: 3311
Credit Hours: 3
Title: Foundations of Mathematics I

Course Description:
Introduction to mathematical logic and the language and nature of proofs. Applications to sets, mathematical induction, relations and functions.

Course Number: 3312
Credit Hours: 3
Title: Probability Statistics and Statistical Modeling

Course Description:
This introduces the basic concepts of probability and statistics to Interdisciplinary Studies majors. Students will study principles and applications of probability and statistics. The class will emphasize using real-world data collected, organized, and analyzed by the students. Students also will learn to use a statistical computer software package such as MINITAB or EXCEL to do the statistical modeling on real-world problems with larger data sets taken from a real-world population in projects. PLEASE NOTE: Enrollment in this course is restricted to Interdisciplinary Studies majors

Course Number: 3313
Credit Hours: 3
Title: Elementary Geometry

Course Description:
The development of Euclidean geometry, introduction to proofs, concepts of measurement and co-ordinate geometry.

Course Number: 3316
Credit Hours: 3
Title: Calculus Concept & Modeling II

Course Description:
This course is specifically designed for students who will become teachers in grades 4-8. It includes principles and conceptual foundations of calculus and applications to middle-school mathematics.

Course Number: 3321
Credit Hours: 3
Title: Discrete Structures

Course Description:
Combinatorics, graphs, Boolean algebra, algebraic structures, coding theory, finite state machines, machine design and computability.

Course Number: 3322
Credit Hours: 3
Title: Introduction to Advanced Mathematics

Course Description:
This course provides introduction to logic and the basic methods of proof required to be successful in a proof oriented mathematics course. Students will study applications in basic set operations, relations, functions, cardinality, and the real number system to learn the basics of mathematics proofs.

Course Number: 3350
Credit Hours: 3
Title: Modern Algebra - Groups

Course Description:
This course provides a proof-based introduction to abstract algebraic students mainly in group theory. Topics students will study include cyclic groups, normal subgroups, quotient groups, homomorphisms, isomorphism, permutation groups, the Sylow theorems, and the structure theorem for finite abelian groups

Course Number: 3351
Credit Hours: 3
Title: Modern Algebra - Rings

Course Description:
This course provides a proof-based introduction to abstract algebraic structures concentrating mainly on rings and fields. Topics students will study include commutative rings, rings with unity, integral domains, subrings, ideals, quotient rings, principal ideal domains, unique factorization domains, and fields. This course is not a continuation of Math 3350 and can be taken without having had Math 3350.

Course Number: 3370
Credit Hours: 3
Title: Introduction to the Theory of Statistical Inference

Course Description:
An introduction to calculus-based statistics and probability. Students will study special probability distributions, nature of statistical methods, sampling theory, estimation and testing hypotheses.

Course Number: 4131
Credit Hours: 1
Title: Special Problems

Course Description:
Special advanced problems in mathematics to suit the needs of individual students.

Course Number: 4302
Credit Hours: 3
Title: Introduction to Partial Differential Equations

Course Description:
This first course in partial differential equations introduces the basic ideas from the theory of partial differential equations, and their connection with the simplest physical systems. This course focuses on the discussion of Boundary value problems with simple geometries in 1, 2, or 3 space dimensions for the heat equation, wave equation, and Laplace equation, separation of variables, Fourier Series, Sturm-Liouville eigenvalue problems and Helmholts equation, Rayleigh Quotient, and introduction to finite difference methods.

Course Number: 4307
Credit Hours: 3
Title: Problem Solving

Course Description:
This course is a study of heuristics and strategies used in solving problems, with extensive practice in problems involving skills in arithmetic, algebra, geometry, and logic.

Course Number: 4310
Credit Hours: 3
Title: Introduction to Complex Variables

Course Description:
This course introduces the topic of complex analysis, a part of various branches of Mathematics. This course covers the fundamental concepts of the theory and applications of a single complex variable. Students will study analytic functions, conformal mapping, the calculus of complex functions, and applications with a focus on understanding and constructing proofs and examples.

Course Number: 4313
Credit Hours: 3
Title: Introduction to Linear Regression Analysis

Course Description:
This course provides an introduction to the concept of linear regression, one of the most widely used techniques for analyzing data. This course blends both theory and applications allowing the student to gain an understanding of the basic principles necessary to apply regression modeling at the undergraduate level. The following topics will be covered: simple linear regression, theory of least squares, multivariate analysis, theory of the general linear model, application to real life data, modeling, and interpretation of computer-generated graphical and numerical results in regression analysis.

Course Number: 4315
Credit Hours: 3
Title: Introduction to Numerical Analysis

Course Description:
This course provides an introduction to numerical analysis. Numerical analysis deals with the use of computers to solve problems that may arise in a workplace by implementing both analytical and computational techniques. The following topics are covered : algorithms for solving linear and non-linear equations and systems thereof, polynomial interpolation, finite difference approximations of derivatives, techniques of numerical integration, One-step and multi-step methods for solving ordinary differential equations and systems thereof.

Course Number: 4318
Credit Hours: 3
Title: Applied Linear Algebra and Matrix Theory

Course Description:
This course provides an introduction applied linear algebra and matrix theory. Topics that will be covered in the course include matrix factorization, canonical forms, orthogonality, matrix norms, projectors, least squares, generalized inverses and singular values

Course Number: 4319
Credit Hours: 3
Title: Introduction to Design and Analysis of Experiments

Course Description:
Basic statistical concepts, analysis of variance, randomized blocks, Latin-squares, general factorial designs, 2k and 3k designs, modeling and analysis using MINITAB or SPSS.

Course Number: 4321
Credit Hours: 3
Title: Capstone for Educator Preparation

Course Description:
Update the Title and Course Outline/Objectives/SLO's to more closely match what is currently being done in the course. In addition, added prerequisites to the course to make sure students in the course are prepared.

Course Number: 4325
Credit Hours: 3
Title: Analysis I

Course Description:
This course is an introduction to the workings behind the topic of real analysis. Students will study the real number system, and the axioms behind it, along with properties and results involving distance, sequences, and topological concepts. Next students will take a deep look at the standard real function results from Calculus such as continuity, differentiation, and integration.

Course Number: 4326
Credit Hours: 3
Title: Analysis II

Course Description:
This course is an extension of Analysis I. It begins with a continuation of the study of the Riemann integral and The Fundamental Theorem of Calculus. Then it moves on to other, more generalized, types of integration such as the Riemann-Stieltjes integral. Next are the properties of metric spaces and the application of this type of space to sequences, series, continuity, and connectedness.

Course Number: 4330
Credit Hours: 3
Title: Advanced Linear Algebra

Course Description:
Vector spaces, linear transformations, matrices, determinants, eigenvalues, eigevectors, canonical forms, bi-linear mappings and quadratic forms.

Course Number: 4331
Credit Hours: 3
Title: Special Problems

Course Description:
Special advanced problems in mathematics to suit the needs of individual students.

Course Number: 4332
Credit Hours: 3
Title: Independent Study

Course Description:
A course for students to study advanced topics in mathematics not covered in other courses in a one on one setting with an instructor.

Course Number: 4340
Credit Hours: 3
Title: Introduction to Topology

Course Description:
This course explores introductory properties of topological spaces and structures defined on them at an undergraduate level. This course introduces the concepts of point set topology, including metrizability, compactness, embeddings, Urysohn's lemma, and homotopy.

Course Number: 4351
Credit Hours: 3
Title: Introduction to Combinatorics

Course Description:
This course introduces fundamental concepts and results in combinatorics. Students will study counting techniques, binomial coefficients, partitions, and recurrence relations.

Course Number: 4361
Credit Hours: 3
Title: Introduction to Combinatorial Design Theory

Course Description:
This course introduces fundamental concepts and results in design theory. Students will study pairwise balanced designs, graph decompositions, and Latin squares.

Course Number: 4371
Credit Hours: 3
Title: Introduction to Graph Theory

Course Description:
This course introduces fundamental concepts and results in graph theory, appealing to mathematicians, computer scientists and engineers.

Course Number: 4380
Credit Hours: 3
Title: Intermediate Theory of Statistical Inference

Course Description:
This class formalizes and extends the material in Math 3370 – Introduction to Statistical Inference. The course provides a formal introduction to statistical inference, sampling theory, general principles of statistical inference, goodness of fit tests, regression and correlation, analysis of variance.

Course Number: 5300
Credit Hours: 3
Title: Regression Analysis

Course Description:
Regression Analysis is considered the bedrock of statistical techniques for modeling and analyzing data. This course provides a rigorous discussion of simple linear regression analysis, theory of least squares, multiple regression models in matrix terms, multivariate analysis, theory of the general linear model, and nonlinear regression.

Course Number: 5308
Credit Hours: 3
Title: Ordinary Differential Equation

Course Description:
Differential equations, and systems of, play a fundamental role in understanding our surroundings. This is a graduate level course focusing on the study of systems of linear differential equations, autonomous systems, stability, sensitivity, existence and uniqueness theorems, Fourier series, boundary value problems, and the derivation of selected numerical methods such as Runge-Kutta and multi-steps methods.

Course Number: 5310
Credit Hours: 3
Title: Real Variables

Course Description:
This course covers fundamental abstract concepts by studying the real numbers, focusing on the comprehension and construction of rigorous proofs. Students develop an understanding of pathological functions, set functions, the Riemann integral, Lebesgue measure and outer measure, and the Lebesgue integral along with other generalized integrals.

Course Number: 5312
Credit Hours: 3
Title: Complex Variables

Course Description:
This course covers the fundamental concepts of the theory and applications of a single complex variable. Students discuss analytic functions, conformal mapping, the calculus of complex functions, and applications with a focus on understanding and constructing proofs and examples.

Course Number: 5315
Credit Hours: 3
Title: Numerical Analysis

Course Description:
In this course the student constructs, analyzes, and implements algorithms for solving numerically problems from continuous mathematics. We discuss Algorithms for solving linear and non-linear equations and systems thereof; Interpolating polynomials; finite difference approximations of derivatives; techniques of numerical integration; One-step and multi-step methods for solving ordinary differential equations and systems thereof.

Course Number: 5317
Credit Hours: 3
Title: Prob Thry/Stochastic Pro

Course Description:
Theory of probability, random variables, well-known distributions, conditional probability, Bayes' formula, Markov Chain, counting process, Poisson processes, Chapman-Kolmogorov equations, gambler's ruin, branching process.

Course Number: 5319
Credit Hours: 3
Title: Design and Analysis of Experiments

Course Description:
Experimental design and analysis of experiments are developed as tools of the manufacturing and process industries. This course provides a rigorous review of analysis of variance, randomized blocks, Latin-square design, general factorial design, 2^k and 3^k design.

Course Number: 5320
Credit Hours: 3
Title: Modern Algebra

Course Description:
The course is designed to explore the fundamentals of Modern Algebra. We discuss at a graduate level the topics of Groups, Rings, and the theory of Fields. This course focuses on the study of subfields, prime fields, algebraic fields extensions and Galois fields.

Course Number: 5325
Credit Hours: 3
Title: Partial Differential Equations

Course Description:
This course aims to provide a graduate level foundation on the fundamental concepts of partial differential equations, and their connection with physical processes. The course focuses on the discussion of boundary value problems with simple geometries in 1, 2, or 3 space dimensions for the heat equation, wave equation, and Laplace’s equation, separation of variables, Fourier Series, Sturm-Liouville eigenvalue problems, Helmholtz equation, Rayleigh Quotient, finite difference and spectral numerical methods.

Course Number: 5328
Credit Hours: 3
Title: Appl Linear Algebra/Matrix Thy

Course Description:
Matrix factorizations, canonical forms, orthogonality, matrix norms, projectors, least squares, generalized inverses, singular values.

Course Number: 5330
Credit Hours: 3
Title: Linear Algebra II

Course Description:
Vector-spaces, linear transformations, matrices, determinants, eigenvalues, eigenvectors, canonical forms, bi-linear mappings and quadratic forms.

Course Number: 5331
Credit Hours: 3
Title: Special Topics

Course Description:
Advanced topics in mathematics to suit the needs of individual students. Course may be repeated for a maximum of six semester hours credit when the topic varies.

Course Number: 5340
Credit Hours: 3
Title: Topology

Course Description:
Topology serves as a tool for students to construct a solid foundation on the study of the features of an object that are invariant under deformations. This course covers topological spaces, metric spaces, compact spaces, embedding, Urysohn's lemma and homotopy.

Course Number: 5351
Credit Hours: 3
Title: Combinatorics

Course Description:
This course introduces fundamental concepts and results in combinatorics such as counting techniques, binomial coefficients, partition and reference relations.

Course Number: 5361
Credit Hours: 3
Title: Advanced Combinatorial Design Theory

Course Description:
In this course students explore the arrangement of elements of a finite set into patterns according to specific rules. This course investigates rigorously, fundamental concepts and results in design theory. Students will study pairwise balanced designs, graph decompositions, and Latin squares.

Course Number: 5371
Credit Hours: 3
Title: Advanced Graph Theory

Course Description:
Graph Theory can model and study many real-world problems, and be applied in a wide range of modern disciplines. This course explores fundamental concepts and results in graph theory, appealing to mathematicians, computer scientists and engineers. This course covers chromatic number of a graph, hamiltonicity and eulerity of a graph, planarity of a graph, and decompositions into maximum packings.

Course Number: 5380
Credit Hours: 3
Title: Statistical Inference

Course Description:
Statistical Inference serves as a tool to identify patterns and trends in data, and inform decision making. This course focuses on sampling theory, general principles of statistical inference, goodness of fit tests, regression, correlation, and analysis of variance.

Course Number: 5381
Credit Hours: 3
Title: Advanced Statistical Methods

Course Description:
Statistical methods and reasoning, principles and applications of probability and statistics with emphasis on real-world data pertaining to data collection, organization, and analysis. Specifically, descriptive, and inferential statistical methods, probability distribution, permutation-based methods of inference, bootstrap confidence intervals, and the binomial exact test for proportions, confounding, randomization, and sampling variability, linear regression, and correlation. Statistical computing language and environment R

Course Number: 5382
Credit Hours: 3
Title: Time Series Analysis

Course Description:
This course covers methods for analyzing data collected over time. Topics include autoregressive moving average models (MA, AR, ARMA, ARIMA), exponential smoothing, model identification, parameter estimation, diagnostics, and forecasting. Appropriate statistical software (such as ITSM, R or SAS) used throughout.

Course Number: 5383
Credit Hours: 3
Title: Predictive Analytics

Course Description:
Advanced statistical techniques for analyzing large and high dimensional data. Topics include data mining strategy, data processing, predictive modeling techniques for decision making, model assessment and comparison. This course will be taught using appropriate statistical software.

Course Number: 5384
Credit Hours: 3
Title: Advanced Machine Learning

Course Description:
Machine learning and statistical pattern recognition concepts that include cost functions, gradient descent, backpropagation, neural networks, natural language processing, sentiment analysis, chatbots, recommender systems, reinforcement learning, supervised learning and unsupervised, computer vision, text processing, and bioinformatics.

Course Number: 5390
Credit Hours: 3
Title: Thesis

Course Description:
Independent research of a specific problem in a field of mathematics. The work will be supervised by a member of the graduate faculty of the Mathematics Department. To be scheduled only with the consent of the department. Six hours credit required. No credit assigned until thesis has been completed and filed with the graduate dean.

Course Number: 5391
Credit Hours: 3
Title: Thesis

Course Description:
Independent research of a specific problem in a field of mathematics. The work will be supervised by a member of the graduate faculty of the Mathematics Department. To be scheduled only with the consent of the department. Six hours credit required. No credit assigned until thesis has been completed and filed with the graduate dean. Continuous enrollment required once work on thesis has begun.

Course Number: 5395
Credit Hours: 3
Title: Internship

Course Description:
This is a supervised internship course resulting in the completion of a comprehensive final report. Internship is intended to provide students with hands-on experience in industry in an area related to Computational and Quantitative Methods. Each student is assigned to an industry partner and works with this partner at least 12 hours per week for one semester on a project involving data-driven decision making.