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Course Number: 0132Credit Hours: 1Title: Foundations of Contemporary MathematicsCourse 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: 0214Credit Hours: 2Title: Foundations of College AlgebraCourse 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: 0224Credit Hours: 2Title: Foundations of Business MathCourse 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: 0242Credit Hours: 2Title: Foundations of Statistical MethodsCourse 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: 0270Credit Hours: 2Title: Special Topics in Foundations of MathematicsCourse 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: 0370Credit Hours: 3Title: Foundations in College MathematicsCourse 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: 0372Credit Hours: 3Title: Foundations in PrecalculusCourse 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: 1314Credit Hours: 3Title: 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: 1316Credit Hours: 3Title: TrigonometryCourse 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: 1324Credit Hours: 3Title: Mathematics for Business and Social SciencesCourse 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: 1332Credit Hours: 3Title: Contemporary Mathematics ICourse 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: 1333Credit Hours: 3Title: Contemporary Mathematics IICourse 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: 1342Credit Hours: 3Title: StatisticsCourse 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: 1350Credit Hours: 3Title: Fundamentals of Math for Elementary School TeachersCourse 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: 2310Credit Hours: 3Title: Mathematical Modeling ICourse Description:This course is specifically designed for students who will become teachers in grades 4-8. Students will examine characteristics of situations to select or create math models in algebra, geometry, and trigonometry using real world situations. |

Course Number: 2311Credit Hours: 3Title: Precalculus ICourse 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: 2312Credit Hours: 3Title: Pre Calculus and Elementary FunctionsCourse 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: 2318Credit Hours: 3Title: Linear AlgebraCourse 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: 2413Credit Hours: 4Title: Calculus & Analytical Geom ICourse 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. |

Course Number: 2414Credit Hours: 4Title: Calculus and Analytical Geometry IICourse 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. |

Course Number: 2415Credit Hours: 4Title: Calculus IIICourse 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 Greenâ€™s Theorem, Stokesâ€™ Theorem and the Divergence Theorem. |

Course Number: 3300Credit Hours: 3Title: History of MathematicsCourse 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: 3301Credit Hours: 3Title: Ordinary Differential EquationsCourse 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: 3311Credit Hours: 3Title: Foundations of Mathematics ICourse Description:Introduction to mathematical logic and the language and nature of proofs. Applications to sets, mathematical induction, relations and functions. |

Course Number: 3312Credit Hours: 3Title: Probability Statistics and Statistical ModelingCourse 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: 3313Credit Hours: 3Title: Elementary GeometryCourse Description:The development of Euclidean geometry, introduction to proofs, concepts of measurement and co-ordinate geometry. |

Course Number: 3316Credit Hours: 3Title: Calculus Concept & Modeling IICourse 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: 3321Credit Hours: 3Title: Discrete StructuresCourse Description:Combinatorics, graphs, Boolean algebra, algebraic structures, coding theory, finite state machines, machine design and computability. |

Course Number: 3322Credit Hours: 3Title: Intro to Advanced MathematicsCourse 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: 3350Credit Hours: 3Title: Modern Algebra - GroupsCourse 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: 3351Credit Hours: 3Title: Modern Algebra - RingsCourse 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: 3370Credit Hours: 3Title: Intro Theory Statistical InferCourse 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: 4131Credit Hours: 1Title: Special ProblemsCourse Description:Special advanced problems in mathematics to suit the needs of individual students. |

Course Number: 4302Credit Hours: 3Title: Introduction to Partial Differential EquationsCourse 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: 4307Credit Hours: 3Title: Problem SolvingCourse 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: 4310Credit Hours: 3Title: Complex VariablesCourse Description:Complex numbers, analytic functions, complex line integrals, Cauchy integral formula and applications. |

Course Number: 4313Credit Hours: 3Title: Introduction to Linear Regression AnalysisCourse Description: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: 4315Credit Hours: 3Title: Numerical AnalysisCourse Description: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: 4318Credit Hours: 3Title: Appl Linear Algebra/Matrix ThyCourse 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: 4319Credit Hours: 3Title: Introduction to Design and Analysis of ExperimentsCourse 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: 4321Credit Hours: 3Title: Topics in Secondary MathCourse Description:Introduction to essential topics for pre-service 4-12 mathematics educators. Topics include quantitative reasoning, algebraic thinking, geometry, spatial reasoning, measurement, precalculus, mathematics models, and AP Calculus and Statistics. |

Course Number: 4325Credit Hours: 3Title: Analysis ICourse 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: 4326Credit Hours: 3Title: Analysis IICourse 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: 4330Credit Hours: 3Title: Advanced Linear AlgebraCourse Description:Vector spaces, linear transformations, matrices, determinants, eigenvalues, eigevectors, canonical forms, bi-linear mappings and quadratic forms. |

Course Number: 4331Credit Hours: 3Title: Special ProblemsCourse Description:Special advanced problems in mathematics to suit the needs of individual students. |

Course Number: 4332Credit Hours: 3Title: Independent StudyCourse 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: 4340Credit Hours: 3Title: Introduction to TopologyCourse 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: 4351Credit Hours: 3Title: CombinatoricsCourse Description:This course introduces fundamental concepts and results in combinatorics. Students will study counting techniques, binomial coefficients, partitions, and recurrence relations. |

Course Number: 4361Credit Hours: 3Title: Combinatorial Design TheoryCourse Description:This course introduces fundamental concepts and results in design theory, including pairwise balanced designs, graph decompositions, and Latin squares. |

Course Number: 4371Credit Hours: 3Title: Graph TheoryCourse Description:This course introduces fundamental concepts and results in graph theory, appealing to mathematicians, computer scientists and engineers. |

Course Number: 4380Credit Hours: 3Title: Theory Statistical InferenceCourse Description: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: 5300Credit Hours: 3Title: Regression AnalysisCourse Description:Review of simple linear regression analysis, theory of least squares, multiple regression models in matrix terms, multivariate analysis, and theory of the general linear model. |

Course Number: 5308Credit Hours: 3Title: Ordinary Differential EquationCourse Description:Systems of linear differential equations, autonomous systems, stability, sensitivity, existence and uniqueness theorems, Fourier series, boundary value problems, derivation of selected numerical methods such as Runge-Kutta and multi-steps methods. |

Course Number: 5310Credit Hours: 3Title: Real VariablesCourse Description:Analytical functions, pathological functions, set functions, Riemann integral, measure theory, Lebesgue integral, Riemann-Stieltjes and Lebesgue-Stieltjes integral. |

Course Number: 5312Credit Hours: 3Title: Complex VariablesCourse Description:Conformal mapping and analytic continuation, calculus of residues, and applications. |

Course Number: 5315Credit Hours: 3Title: Numerical AnalysisCourse Description: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: 5317Credit Hours: 3Title: Prob Thry/Stochastic ProCourse 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. Prerequisites: Graduate standing and MATH 3370 or its equivalent Offered: Other |

Course Number: 5319Credit Hours: 3Title: Design of ExperimentsCourse Description:Experimental design and analysis of experiments are developed as tools of the manufacturing and process industries. Analysis of variance, randomized blocks, Latin-squares design, general factorial design, 2k and 3k design are treated in detail. |

Course Number: 5320Credit Hours: 3Title: Modern AlgebraCourse Description:Groups, rings and the theory of fields. The theory of fields includes the study of subfields, prime fields, algebraic fields extensions and Galois fields. |

Course Number: 5325Credit Hours: 3Title: Partial Differential EquationsCourse Description:Boundary value problems with simple geometries in 1,2, or 3 space dimensions for the heat equation, wave equation, and potential (Laplace) equation, separation of variables, Fourier Series, Sturm-Liouville eigenvalue problems and Helmholts equation, Rayleigh Quotient, introduction to finite difference methods. |

Course Number: 5328Credit Hours: 3Title: Appl Linear Algebra/Matrix ThyCourse Description:Matrix factorizations, canonical forms, orthogonality, matrix norms, projectors, least squares, generalized inverses, singular values. |

Course Number: 5330Credit Hours: 3Title: Linear Algebra IICourse Description:Vector-spaces, linear transformations, matrices, determinants, eigenvalues, eigenvectors, canonical forms, bi-linear mappings and quadratic forms. |

Course Number: 5331Credit Hours: 3Title: Special TopicsCourse 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: 5340Credit Hours: 3Title: TopologyCourse Description:Topological spaces, metric spaces, compact spaces, embedding, Urysohn's lemma and homotopy. |

Course Number: 5351Credit Hours: 3Title: CombinatoricsCourse Description:This course introduces fundamental concepts and results in combinatorics such as counting techniques, binomial coefficients, partition and reference relations. |

Course Number: 5361Credit Hours: 3Title: Combinatorial Design theoryCourse Description:This course introduces fundamental concepts and results in design theory, including airwise balanced designs, graph decompositions, and Latin squares. |

Course Number: 5371Credit Hours: 3Title: Graph TheoryCourse Description:This course introduces fundamental concepts and results of graph theory, appealing to mathematicians, computer scientists and engineers. |

Course Number: 5380Credit Hours: 3Title: Statistical InferenceCourse Description:Theories of point estimation, interval estimation and hypothesis testing, regression analysis, analysis of variance. |

Course Number: 5381Credit Hours: 3Title: Advanced Statistical MethodsCourse 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: 5382Credit Hours: 3Title: Time Series AnalysisCourse 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: 5383Credit Hours: 3Title: Predictive AnalyticsCourse 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: 5384Credit Hours: 3Title: Advanced Machine LearningCourse 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: 5390Credit Hours: 3Title: ThesisCourse Description:Prerequisite: Approval of graduate advisor. Must complete both for required 6 credits. |

Course Number: 5391Credit Hours: 3Title: ThesisCourse Description:Prerequisite: Approval of graduate advisor. Must complete both for required 6 credits. |

Course Number: 5395Credit Hours: 3Title: InternshipCourse 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. |