Mathematics (MATH)
MATH 0132 Foundations of Contemporary Mathematics 1 Credit
Department: College of Arts and Sciences
Corequisite(s): MATH 1332
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS
MATH 0213 Foundations of Mathematics for Allied Health 3 Credits
Department: College of Arts and Sciences
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.
Corequisite(s): MATH 1313
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 0214 Foundations of College Algebra 2 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): TSIA Math with a score of 336 or SAT Math Section with a score of 530 or (SAT Overall Math/Verbal (OLD) with a score of 1070 and SAT Mathematics (OLD) with a score of 500) or (ACT Composite with a score of 23 and ACT Math with a score of 19) or STAAR Algebra II EOC Math with a score of 4000 or MATH 0370
Corequisite(s): MATH 1314
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS
MATH 0224 Foundations of Business Math 2 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): TSIA Math with a score of 336 or SAT Math Section with a score of 530 or (SAT Overall Math/Verbal (OLD) with a score of 1070 and SAT Mathematics (OLD) with a score of 500) or (ACT Composite with a score of 23 and ACT Math with a score of 19) or STAAR Algebra II EOC Math with a score of 4000 or MATH 0370
Corequisite(s): MATH 1324
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS
MATH 0242 Foundations of Statistical Methods 2 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): TSIA Math with a score of 336 or SAT Math Section with a score of 530 or (SAT Overall Math/Verbal (OLD) with a score of 1070 and SAT Mathematics (OLD) with a score of 500) or (ACT Composite with a score of 23 and ACT Math with a score of 19) or STAAR Algebra II EOC Math with a score of 4000 or MATH 0370
Corequisite(s): MATH 1342
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS
MATH 0270 Special Topics in Foundations of Mathematics 2 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 0370 Foundations in College Mathematics 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): TSIA Math with a score of 336
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS
MATH 0372 Foundations in Precalculus 3 Credits
Department: College of Arts and Sciences
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.
Corequisite(s): MATH 2311
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS
MATH 1313 Mathematics for Allied Health 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1314 College Algebra(Non-Calculus) 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1316 Trigonometry 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 1314
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1324 Mathematics for Business and Social Sciences 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1332 Contemporary Mathematics I 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1333 Contemporary Mathematics II 3 Credits
Department: College of Arts and Sciences
Intended for non-STEM (Science, Technology, Engineering and Mathematics) majors. Topics include number systems, graph theory and voting theory. Additional topics may be covered.
Prerequisite(s): MATH 1332
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1342 Elementary Statistical Methods 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1350 Fundamentals of Math for Elementary School Teachers 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 1314 or MTH 1334
Restriction(s):
Enrollment limited to students in the BS-INDS program.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 1351 Math for Elementary Educators 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 1314
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2311 Precalculus I 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2312 Pre Calculus and Elementary Functions 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): (SAT Mathematics (OLD) with a score of 500 or ACT Math with a score of 19) or MATH 2311 or MATH 1314
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2318 Linear Algebra 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 2413
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2320 Ordinary Differential Equations 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 2414
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2413 Calculus and Analytical Geometry I 4 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2414 Calculus and Analytical Geometry II 4 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 2413
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 2415 Calculus III 4 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 2414
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3300 History of Mathematics 3 Credits
Department: College of Arts and Sciences
Historical origin and development of mathematical concepts through the sixteenth century. Topics include Egyptian and Babylonian mathematics, Greek mathematics, and early European mathematics.
Restriction(s):
Enrollment limited to students with a class of Junior, Post Baccalaureate or Senior.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3301 Ordinary Differential Equations 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 2414
Prerequisite(s)/Corequisite(s): MATH 3328 or MATH 2318
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3311 Foundations of Mathematics I 3 Credits
Department: College of Arts and Sciences
Introduction to mathematical logic and the language and nature of proofs. Applications to sets, mathematical induction, relations and functions.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3312 Probability Statistics and Statistical Modeling 3 Credits
Department: College of Arts and Sciences
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
Prerequisite(s): MATH 1314
Restriction(s):
Enrollment limited to students in the BS-INDS program.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3313 Elementary Geometry 3 Credits
Department: College of Arts and Sciences
The development of Euclidean geometry, introduction to proofs, concepts of measurement and co-ordinate geometry.
Restriction(s):
Enrollment limited to students in the BS-INDS program.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3316 Calculus Concept & Modeling II 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 3313
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3321 Discrete Structures 3 Credits
Department: College of Arts and Sciences
Combinatorics, graphs, Boolean algebra, algebraic structures, coding theory, finite state machines, machine design and computability.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3322 Introduction to Advanced Mathematics 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3350 Modern Algebra - Groups 3 Credits
Department: College of Arts and Sciences
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
Prerequisite(s): MATH 3322
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3351 Modern Algebra - Rings 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 3322
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 3370 Introduction to the Theory of Statistical Inference 3 Credits
Department: College of Arts and Sciences
An introduction to calculus-based statistics and probability. Students will study special probability distributions, nature of statistical methods, sampling theory, estimation and testing hypotheses.
Prerequisite(s): MATH 2414
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4131 Special Problems 1 Credit
Department: College of Arts and Sciences
Special advanced problems in mathematics to suit the needs of individual students.
May be Repeated for a maximum of 3 hours
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4302 Introduction to Partial Differential Equations 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4307 Problem Solving 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4310 Introduction to Complex Variables 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 2415
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS, Satisfactory/Unsatisfactory
MATH 4313 Introduction to Linear Regression Analysis 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 3370
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4315 Introduction to Numerical Analysis 3 Credits
Department: College of Arts and Sciences
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.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4318 Applied Linear Algebra and Matrix Theory 3 Credits
Department: College of Arts and Sciences
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
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4319 Introduction to Design and Analysis of Experiments 3 Credits
Department: College of Arts and Sciences
Basic statistical concepts, analysis of variance, randomized blocks, Latin-squares, general factorial designs, 2k and 3k designs, modeling and analysis using MINITAB or SPSS.
Prerequisite(s): MATH 3370
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4321 Capstone for Educator Preparation 3 Credits
Department: College of Arts and Sciences
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.
May be Repeated for a maximum of 6 hours
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4325 Analysis I 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 3322
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4326 Analysis II 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 4325
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4330 Advanced Linear Algebra 3 Credits
Department: College of Arts and Sciences
Vector spaces, linear transformations, matrices, determinants, eigenvalues, eigevectors, canonical forms, bi-linear mappings and quadratic forms.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4331 Special Problems 3 Credits
Department: College of Arts and Sciences
Special advanced problems in mathematics to suit the needs of individual students.
May be Repeated for a maximum of 12 hours
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS, Satisfactory/Unsatisfactory
MATH 4332 Independent Study 3 Credits
Department: College of Arts and Sciences
A course for students to study advanced topics in mathematics not covered in other courses in a one on one setting with an instructor.
May be Repeated for a maximum of 6 hours
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4340 Introduction to Topology 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 4325
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4351 Introduction to Combinatorics 3 Credits
Department: College of Arts and Sciences
This course introduces fundamental concepts and results in combinatorics. Students will study counting techniques, binomial coefficients, partitions, and recurrence relations.
Prerequisite(s): MATH 3322
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4361 Introduction to Combinatorial Design Theory 3 Credits
Department: College of Arts and Sciences
This course introduces fundamental concepts and results in design theory. Students will study pairwise balanced designs, graph decompositions, and Latin squares.
Prerequisite(s): MATH 3322
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4371 Introduction to Graph Theory 3 Credits
Department: College of Arts and Sciences
This course introduces fundamental concepts and results in graph theory, appealing to mathematicians, computer scientists and engineers.
Prerequisite(s): MATH 3322
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 4380 Intermediate Theory of Statistical Inference 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 3370
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5300 Regression Analysis 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5308 Ordinary Differential Equation 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5310 Real Variables 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5312 Complex Variables 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS, Satisfactory/Unsatisfactory
MATH 5315 Numerical Analysis 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5317 Prob Thry/Stochastic Pro 3 Credits
Department: College of Arts and Sciences
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.
Prerequisite(s): MATH 3370
Restriction(s):
Enrollment limited to students with a class of Graduate.
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5319 Design and Analysis of Experiments 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5320 Modern Algebra 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5325 Partial Differential Equations 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Enrollment limited to students with a class of Graduate.
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5328 Appl Linear Algebra/Matrix Thy 3 Credits
Department: College of Arts and Sciences
Matrix factorizations, canonical forms, orthogonality, matrix norms, projectors, least squares, generalized inverses, singular values.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5330 Linear Algebra II 3 Credits
Department: College of Arts and Sciences
Vector-spaces, linear transformations, matrices, determinants, eigenvalues, eigenvectors, canonical forms, bi-linear mappings and quadratic forms.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5331 Special Topics 3 Credits
Department: College of Arts and Sciences
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.
May be Repeated for a maximum of 9 hours
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5340 Topology 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Enrollment limited to students with a class of Graduate.
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5351 Combinatorics 3 Credits
Department: College of Arts and Sciences
This course introduces fundamental concepts and results in combinatorics such as counting techniques, binomial coefficients, partition and reference relations.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5361 Advanced Combinatorial Design Theory 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5371 Advanced Graph Theory 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5380 Statistical Inference 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5381 Advanced Statistical Methods 3 Credits
Department: College of Arts and Sciences
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
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5382 Time Series Analysis 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5383 Predictive Analytics 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5384 Advanced Machine Learning 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS
MATH 5390 Thesis 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS, Thesis/Dissertation
MATH 5391 Thesis 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Satisfactory/Unsatisfactory, Registrar do not use FN, Registrar do not use FS, Thesis/Dissertation
MATH 5395 Internship 3 Credits
Department: College of Arts and Sciences
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.
Restriction(s):
Undergraduate level students may not enroll.
Grade Mode(s): Standard Letter, Registrar do not use FN, Registrar do not use FS