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Course Number: 0070Credit Hours: 0Title: Preparing for Foundational MathematicsCourse Description:This is a non-course based option providing curriculum in mathematics required for co-requisite mathematics courses. |

Course Number: 0132Credit Hours: 1Title: Foundations of Contemporary MathematicsCourse Description:This course is intended for NonSTEM (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. Co-requisite: MATH 1332 |

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. Prerequisite: TSI score of 336 or higher. Students who are registered for MATH 1314 and MATH 0214 are not allowed to drop these courses due to the state's TSI compliance requirements. Corequisite: Students in this course must be concurrently enrolled in MATH 1314 |

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 include linear, quadratic and polynomial functions. Prerequisite: A TSI score of 310 or higher, or an ABE score of 4 or higher. Students who are registered for MATH 1324 and MATH 0224 are not allowed to drop these courses due to the state's TSI compliance requirements. |

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 include graphical representations of data, slope and linear equations, fractions, probability and support for computer skills. Prerequisite: A TSI score of 310 or higher or an ABE score of 4 or higher. Students who are registered for MATH 1342 and MATH 0242 are not allowed to drop these courses due to the state's TSI compliance requirements. Corequisite - Students in this course must be concurrently enrolled in MATH 1342 |

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. Prerequisites: A passing grade in MATH 0370, CRMA 0370, CRMA 0371, or a TSI score of 340 or higher, or consent of 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. Prerequisite: TSI of 336 or higher, or consent of department |

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 include solving linear and quadradic equations, functions and functional notation, as well as other topics for just-in-time review for MATH 2311. Corequisite: This course requires concurrent enrollment with MATH 2311 This course is not applicable toward any degree. |

Course Number: 1314Credit Hours: 3Title: College Algebra(Non-Calculus)Course Description:Study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations. Prerequisites: 350 Math TSI or TSI Exempt/Complete Prepares for: MATH 1316, 1342, 1350, 3312 Offered: Fall, Spring, Summer Note: This course DOES NOT prepare students to advance to the calculus sequence. |

Course Number: 1316Credit Hours: 3Title: TrigonometryCourse Description:Study of trigonometric functions, graphs, identities, inverse trigonometric functions, trigonometric equations, and applications of trigonometry. Recommended for students who have not had high school trigonometry. Prerequisites: MRS 750 or C or better in MATH 1314 or 1414 or equivalent Prepares for: MATH 2310, 3313 Offered: Fall, Spring, Summer |

Course Number: 1320Credit Hours: 3Title: Geometric StructuresCourse Description:Development of a mathematical way of thinking through a coherent first-hand experience. Emphasis on the student's deductive powers and ability to use language precisely and efficiently. Study of Euclidean geometry; Hilbert's axioms, neutral geometry, hyperbolic geometry; the axiomatic method; and an introduction to consistency, independence, and completeness of axiom systems. Prerequisites: 350 Math TSI or TSI Exempt/Complete Offered: Fall, Spring |

Course Number: 1324Credit Hours: 3Title: Mathematics for Business and Social SciencesCourse Description:The application of common algebraic functions, including polynomial, exponential, logarithmic and rational, to 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 simple value. Prerequisites: TSI complete or TSI exempt. Students with a TSI score of 336 or higher, or with a S in MATH 0370 may take this course with co-requisite course MATH 0224. Students who are registered for MATH 1324 and MATH 0224 are not allowed to drop these courses due to the state's TSI compliance requirements. |

Course Number: 1325Credit Hours: 3Title: Calculus for Business AppsCourse Description:An introduction to calculus. The derivative, applications of the derivative, techniques of differentiation, exponential and natural logarithmic functions, an introduction to integral calculus. Prerequisites: C or better in MATH 1314, or its equivalent Prepares for: MATH 2305 Offered: Fall, Spring, Summer |

Course Number: 1332Credit Hours: 3Title: Contemporary Mathematics ICourse Description:This course is intended for non-STEM (Science, Technology, Engineering and Mathematics) majors. topics include introductory treatments of sets and logic, financial mathematics, probability and statistics with appropriate applications. Number sense, proportional reasoning, estimation, technology and communication should be embedded throughout the course. Additional topics may be covered. Prerequisites: 350 Math TSI, TSI Complete, or TSI Exempt. Students with a TSI score or 310 or higher, or an ABE score of 4 or more may register for MATH 1332 if they also register for MATH 0132 as a co-requisite course. |

Course Number: 1333Credit Hours: 3Title: Contemporary Mathematics IICourse Description:Intended for nonSTEM (Science, Technology, Engineering and Mathematics) majors. Topics include number systens, graph theory and voting theory. Additional topics may be covered. Prerequisite: MATH 1332 with a mimimum grade of D |

Course Number: 1342Credit Hours: 3Title: StatisticsCourse Description:Collection, Analysis, presentation and integration of data and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Use of appropriate technology is recommended. Prerequisites: 350 Math TSI or TSI Exempt/Complete. this course can also be taken alogn with MATH 0242 or MATH 0270 as a co-requisite course if the student has a TSI Math score of 310 or higher or an ABE score of 4 or greater. |

Course Number: 1350Credit Hours: 3Title: Fundamentals of Math for Elementary School TeachersCourse Description:Concepts of sets, functions, numeration systems, number theory and properties of the natural numbers, integers, rational, and real number systems, with an emphasis on problem solving and critical thinking. Prerequisites: Grade of C or better in MATH 1314 or its equivalent Prepares for: MATH 3313 Offered: Fall, Spring Please note: Enrollment for this course is restricted to Interdisciplinary Studies majors only. |

Course Number: 1360Credit Hours: 3Title: Honors College AlgebraCourse Description:Generally covers same topics as MATH 1314.: Study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations. Prerequisites: 350 Math TSI or TSI Exempt/Complete Prepares for: MATH 1316, 1342, 1350, 3312 Offered: Other |

Course Number: 1414Credit Hours: 4Title: Precalculus ICourse Description:In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations. Prerequisites: 350 Math TSI or TSI Exempt/Complete Prepares for: MATH 1316, 1325, 1342, 1350, 2312, 2376, 3312, 3313 Offered: Fall, Spring, Summer |

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. Prerequisites: Grade of C or better in MATH 1314 or its equivalent Offered: Spring |

Course Number: 2311Credit Hours: 3Title: Precalculus ICourse Description:In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations. Prerequisites: 350 Math TSI, TSI Complete, or TSI Exempt. Prepares for: MATH 1316, 1325, 1342, 2312, 2376, 3312, 3313. Offered: Fall, Spring, Summer. |

Course Number: 2312Credit Hours: 3Title: Pre Calculus and Elementary FunctionsCourse Description:Intensive review of algebra, trigonometry and analytic geometry. Prerequisites: MRS 700 or C or better in MATH 2311. Prepares for: MATH 2376, 2413, 2460 Offered: Fall, Spring, Summer |

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. Prerequisite: MATH 2413 with a minimum grade of C |

Course Number: 2331Credit Hours: 3Title: Special ProblemsCourse Description:Special lower division problems in mathematics to suit the needs of individual students. Prerequisites: Permission of the Instructor Offered: Other |

Course Number: 2376Credit Hours: 3Title: Calculus for Social & Life SciCourse Description:Sets, functions, limits, derivatives and applications, introduction to integral calculus. Designed for students majoring in social and life sciences and students seeking 4-8 math teacher certifications. Prerequisites: MRS 700 or C or better in MATH 1314 or C or better in MATH 1414 or its equivalent. Prepares for: MATH 2305 Offered: Fall, Spring |

Course Number: 2413Credit Hours: 4Title: Calculus & Analytical Geom ICourse Description:Functions, limits, derivatives of algebraic, trigonometric, exponential and logarithmic functions, curve sketching, related rates, maximum and minimum problems, definite and indefinite integrals with applications. Prerequisites: MRS 800 or C or better in MATH 2312 or its equivalent Prepares for: MATH 2305, 2318, 2414 with a minimum grade of C in each Offered: Fall, Spring, Summer |

Course Number: 2414Credit Hours: 4Title: Calculus and Analytical Geometry IICourse Description:Methods of integration, polar co-ordinates, parametric equations, sequences and series, and vectors. Prerequisites: Grade of C or better in MATH 2413 or its equivalent Prepares for: MATH 2415, 3301, 3321, 3322, 3370 Offered: Fall, Spring, Summer |

Course Number: 2415Credit Hours: 4Title: Calculus IIICourse Description:This course covers advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals and Jacobian's application of the line integral, including Green's theorem, the Divergence theorem and Stokes' Theorem. Prerequisite: MATH 2414 with a minimum grade of C Prepares for: MATH 4302, 4310 Offered: Fall, Spring |

Course Number: 2460Credit Hours: 4Title: Honors Calculus & Analytic GeoCourse Description:Generally covers same topics as MATH 2413. Prerequisites: Grade of C or better in MATH 2312 or its equivalent Prepares for: MATH 2414 Offered: Other |

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. Prerequisites: Junior standing and grade of C or better in six hours of mathematics Offered: Spring |

Course Number: 3301Credit Hours: 3Title: Ordinary Differential EquationsCourse Description:First order equations: modeling and population dynamics, stability, existence and uniqueness theorem for nonlinear equations, Euler's method. Second order equations: nonlinear equations via reductions methods, variation of parameters, forced mechanical vibrations, resonance and beat. Laplace Transform: general forcing functions, the convolution integral. Systems of ODEs: eigenvalues and phase plane analysis. Prerequisites: Grade of C or better in MATH 2414 or its equivalent; Pre- or Co-requisite: Grade of C or better in MATH 2318 or its equivalent Prepares for: MATH 4302, 4315 Offered: Fall, Spring, Summer |

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. Prerequisites: Grade of C or better in nine semester hours of mathematics Prepares for: MATH 3315 Offered: Other |

Course Number: 3312Credit Hours: 3Title: Probability Statistics and Statistical ModelingCourse Description:Includes principles and applications of probability and statistics with an emphasis on using real-world data collected, organizes, and analyzed by the students. Prerequisites: Grade of C or better in MATH 1314 or its equivalent Offered: Fall, Spring, Summer 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. Prerequisites: Grade of C or better in MATH 1350 or MATH 1316 or its equivalent. Prepares for: MATH 3316 Offered: Fall, Spring PLEASE NOTE: Registration for this course will be restricted to Interdisciplinary Studies majors only |

Course Number: 3315Credit Hours: 3Title: Elementary Number TheoryCourse Description:A development of the elementary theory of numbers, Diophantine equations, congruences, Fibonacci numbers and magic squares. Prerequisites: Grade of C or better in MATH 3311 or its equivalent Offered: Other |

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. Prerequisites: Grade of C or better in MATH 3313 or its equivalent Offered: Fall |

Course Number: 3321Credit Hours: 3Title: Discrete StructuresCourse Description:Combinatorics, graphs, Boolean algebra, algebraic structures, coding theory, finite state machines, machine design and computability. Prerequisites: Grade of C or better in MATH 2318 and MATH 2414 with a minimum grade of C in each and satisfactory completion of COSC requirement. Offered: Other |

Course Number: 3322Credit Hours: 3Title: Intro to Advanced MathematicsCourse Description:An introduction to logic and methods of proof with applications to basic set operations, relations, functions, cardinality, and the real number system. Prerequisites: MATH 2414 or MATH 3311 with a minimum grade of C |

Course Number: 3325Credit Hours: 3Title: Stat Anlys w/SPSS or MINITABCourse Description:Introduction to data analysis with SPSS or MINITAB, correlation, regression, prediction, pairwise comparison, ANOVA, chi-square tests, nonparametric statistics, presentation of data. Prerequisites: Math 1342 with a minimum grade of C Offered: Other |

Course Number: 3330Credit Hours: 3Title: Higher GeometryCourse Description:Axiomatic and set-theoretic treatment of geometry, analysis of the metric and synthetic approaches to Euclidean geometry, introduction to non-Euclidean geometries. Prerequisites: Grade of C or better in MATH 3322 or consent of the instructor Offered: Other |

Course Number: 3350Credit Hours: 3Title: Modern Algebra - GroupsCourse Description:An introduction to abstract algebraic structures concentrating mainly in group theory. Topics in group theory include cyclic groups, normal subgroups, quotient groups, homo-morphisms, isomorphisms, permutation groups, the Sylow theorems, and the structure theorem for finite abelian groups. Prerequisite: MATH 3322 with a minimum grade of C Offered: Fall |

Course Number: 3351Credit Hours: 3Title: Modern Algebra - RingsCourse Description:An introduction to abstract algebraic structures concentrating mainly on rings and fields. Topics include communicative rings, rings with unity, integral domains, subrings, ideals, quotient rings, principal ideal domains, unique factorization domains and fields. Prerequisite: MATH 3322 with a minimum grade of C Offered in Spring |

Course Number: 3370Credit Hours: 3Title: Intro Theory Statistical InferCourse Description:A calculus-based introduction to statistics, probability, special probability distributions, nature of statistical methods, sampling theory, estimation, testing hypotheses. Prerequisites: Grade of C or better in MATH 2414 or its equivalent Prepares for: MATH 4380 Offered: Fall, Spring |

Course Number: 4131Credit Hours: 1Title: Special ProblemsCourse Description:Special advanced problems in mathematics to suit the needs of individual students. Prerequisites: Consent of Instructor Offered: Other |

Course Number: 4231Credit Hours: 2Title: Special ProblemsCourse Description:Special advanced problems in mathematics to suit the needs of individual students. Prerequisites: Consent of Instructor Offered: Other |

Course Number: 4302Credit 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. Prerequisites: Grade of C or better in MATH 2415 and MATH 3301 or their equivalents Offered: Other |

Course Number: 4307Credit Hours: 3Title: Problem SolvingCourse Description:Study of heuristics and strategies used in solving problems, with extensive practice in solving word problems involving skills in arithmetic, algebra, geometry, and logic. Prerequisites: Grade of C or better in nine semester hours of mathematics Offered: Fall |

Course Number: 4310Credit Hours: 3Title: Complex VariablesCourse Description:Complex numbers, analytic functions, complex line integrals, Cauchy integral formula and applications. Prerequisites: Grade of C or better in MATH 2415 or its equivalent Offered: Other |

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. Prerequisites: Grade of C or better in MATH 3370 or its equivalent Offered: Other |

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. Prerequisites: MATH 2318 and MATH 3301 with a minimum grade of C in each Prepares for: MATH 4316 Offered: Other |

Course Number: 4316Credit Hours: 3Title: Linear ProgrammingCourse Description:Topics chosen from linear programming, optimization, numerical simulation, or other fields of interest to students and instructor. Prerequisites: Grade of C or better in MATH 4315 or its equivalent Offered: Other |

Course Number: 4317Credit Hours: 3Title: Introduction to Probability Theory and Stochastic ProcessesCourse Description:Probability, well-known distributions, conditional probability, Bayes' formula, Markov chain, counting process, Poisson process, Chapman-Kolmogorov equations, gambler's ruin, branching process. Prerequisites: Grade of C or better in MATH 3370 or its equivalent Offered: Other |

Course Number: 4318Credit Hours: 3Title: Appl Linear Algebra/Matrix ThyCourse Description:Matrix factorization, canonical forms, orthogonality, matrix norms, projectors, least squares, generalized inverses, singular values. Prerequisites: Grade of C or better in MATH 2318 and 3301 or their equivalents Offered: Other |

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. Prerequisites: Grade of C or better in MATH 3370 or its equivalent Offered: Other |

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. Prerequisites: Completion of all other mathematics content courses Offered: Fall |

Course Number: 4325Credit Hours: 3Title: Analysis ICourse Description:The real number system, Completeness Axiom, metric spaces, sequences, compactness, continuity, differentiation, Intermediate Value Theorem, Extreme Value Theorem, the Riemann integral, Fundamental Theorem of Calculus. Prerequisites: Grade of C or better in MATH 3322 or permission of instructor Offered: Fall |

Course Number: 4326Credit Hours: 3Title: Analysis IICourse Description:Stieltjes integral, convergence, uniform convergence, sequences and series of functions, bounded variation, the Implicit Function Theorem. Prerequisites: Grade of C or better in MATH 4325 Offered: Other |

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. Prerequisites: Grade of C or better in MATH 2318 and MATH 3322 or their equivalents Offered: Other |

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

Course Number: 4340Credit Hours: 3Title: TopologyCourse Description:An introduction to point set topology, including metrizability, compactness, embeddings, Urysohn's lemma, and homotopy. Prerequisites: Grade of C or better in MATH 4325 or its equivalent Offered: Other |

Course Number: 4351Credit Hours: 3Title: CombinatoricsCourse Description:This course introduces fundamental concepts and results in combinatronics such as counting techniques, biomial coefficients, partitions and recurrence relations. Prerequisites: MATH 3322 or MATH 3311 with a minimum grade of C in each |

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. Prerequisites: MATH 3322 or MATH 3311 with a minimum grade of C in each |

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. Prerequisites: MATH 3322 or MATH 3311 with a minimum grade of C in either |

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. Prerequisites: MATH 3370 or its equivalent Offered: Other |

Course Number: 5119Credit Hours: 1Title: Advanced Placement SeminarCourse Description:To learn how to teach advanced placement classes in calculus and statistics. Prerequisite: Graduate standing Offered: Other |

Course Number: 5192Credit Hours: 1Title: Research Seminar and ProjectCourse Description:Independent research under the supervision of a faculty advisor and present their results as a seminar. Must complete both for required 2 credits. Prerequisite: Graduate standing Offered: Other |

Course Number: 5193Credit Hours: 1Title: Research Seminar and ProjectCourse Description:Independent research under the supervision of a faculty advisor and present their results as a seminar. Must complete both for required 2 credits. Prerequisite: Graduate standing Offered: Other |

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. Prerequisite: MATH 3370 or its equivalent Offered: Other |

Course Number: 5301Credit Hours: 3Title: Foundation/Logic for TeachersCourse Description:Introduction to logic, review of set operations, relations and functions, proof techniques. Prerequisite: Graduate standing Offered: Other |

Course Number: 5302Credit Hours: 3Title: Higher Geometry for TeachersCourse Description:An axiomatic and set-theoretic treatment of geometry and coordinate geometry. Prerequisite: MATH 2414 or its equivalent Offered: Other |

Course Number: 5303Credit Hours: 3Title: Modeling TheoryCourse 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 the Runge-Kutta and multi-step methods, phase plan analysis and crucial points, Lotka-Volterra and pendulum applications, contraction mapping theorem. Prerequisites: Graduate standing and MATH 3301 and 4326 or consent of instructor Offered: Other |

Course Number: 5304Credit Hours: 3Title: Functional AnalysisCourse Description:Study of linear topological spaces, convexity, Hilbert spaces, Banach spaces, applications. Prerequisite: Graduate standing and Mathematics 4325 Offered: Other |

Course Number: 5305Credit Hours: 3Title: ReliabilityCourse Description:Statistical theories pertinent to solution of reliability problems, failure distributions and failure theory including failure rate and mean time to failure, time-dependent failure models, reliability of systems, and the analysis of failure data including reliability estimation and testing. Prerequisite: MATH 3370 or its equivalent Offered: Other |

Course Number: 5306Credit Hours: 3Title: Adv Prob Solving for TeachersCourse Description:Study of the role of problem solving techniques in solution and posing of problems and the role of technology in problem solving, mathematical modeling. Prerequisite: MATH 2414 or its equivalent Offered: Other |

Course Number: 5307Credit Hours: 3Title: Linear/Higher Alg for TeacherCourse Description:Vectors, matrices, determinants and their applications, introduction to groups and rings. Prerequisite: MATH 2414 or its equivalent Offered: Other |

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. Prerequisites: MATH 3301, 4325 or permission of instructor |

Course Number: 5309Credit Hours: 3Title: Adv Calc & Analy for TeachersCourse Description:Intensive review of theory of sequences and series, study of differentiation and the Riemann integral. Prerequisite: MATH 2414 or its equivalent Offered: Other |

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. Prerequisite: Graduate standing and Mathematics 4325 Offered: Other |

Course Number: 5311Credit Hours: 3Title: Numerical AnalysisCourse Description:Solutions of ordinary and partial differential equations, approximation of functions, quadrature, and splines. Prerequisite: Graduate standing, Mathematics 4315 or its equivalent, and some knowledge of computer programming. Offered: Other |

Course Number: 5312Credit Hours: 3Title: Complex VariablesCourse Description:Conformal mapping and analytic continuation, calculus of residues, and applications. Prerequisite: Graduate standing and Mathematics 4310 or its equivalent Offered: Other |

Course Number: 5314Credit Hours: 3Title: Data Analysis for TeachersCourse Description:Probability and statistics, sampling distribution of statistics and statistical inference, design of experiments and surveys, graphical and numerical techniques to explore data, characterize patterns, and describe departures from patterns. Prerequisite: Graduate standing Offered: Other |

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. Prerequisite: MATH 2415 with a minimum grade of C and COSC 1336 with a minimum grade of D Offered: Other |

Course Number: 5316Credit Hours: 3Title: Linear ProgrammingCourse Description:Linear programming, unconstrained and constrained optimization, Lagrange multipliers, Newton's method, steepest descent, convex programming. Prerequisite: MATH 2318 and MATH 2414 with a minimum grade of C in each Offered: Other |

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: 5318Credit Hours: 3Title: Modern History of Mathematics for TeachersCourse Description:The history and evolution of mathematical concepts and ideas and, in particular, to the relationships between mathematics, science and engineering. The emphasis of the course is on the history of mathematics since Viette. Prerequisite: Graduate standing 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. Prerequisite: MATH 3370 or its equivalent Offered: Other |

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. Prerequisite: Graduate standing and Mathematics 3350 or 3351 with a minimum grade of C |

Course Number: 5321Credit Hours: 3Title: Research Methods in Mathematics EducationCourse Description:To enable students to understand and synthesize current research in mathematics education and to develop their own framework if effective teaching and learning in mathematics education. Prerequisite: Graduate standing Offered: Other |

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. Prerequisite: Grade of C or better in MATH 3301, and graduate standing or permission of instructor Offered: Other |

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. Prerequisites: MATH 2318 and MATH 3301 with a minimum grade of C in each Offered: Fall |

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. Prerequisite: MATH 2318 and MATH 2414 with a minimum grade of C in each Offered: Other |

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. Prerequisite: Graduate standing and consent of instructor Offered: Other |

Course Number: 5335Credit Hours: 3Title: Topics in MathematicsCourse Description:Topics include mathematical logic, group theory, field theory, approximation and interpolation, game theory and calculus of variations. Prerequisite: Graduate standing and consent of instructor Offered: Other |

Course Number: 5340Credit Hours: 3Title: TopologyCourse Description:Topological spaces, metric spaces, compact spaces, embedding, Urysohn's lemma and homotopy. Prerequisite: Graduate standing and Mathematics 4325 Offered: Other |

Course Number: 5350Credit Hours: 3Title: Complex VariablesCourse Description:Complex numbers, analytic functions, complex line integrals, Cauchy integral formula and applications. Prerequisite: MATH 2415 with a minimum grade of C Offered: Other |

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. Prerequisites: MATH 3322 or MATH 3311 with a minimum grade of C in either |

Course Number: 5360Credit Hours: 3Title: Computational Modern AlgebraCourse Description:Introduction to algebraic structures such as rings, integral domains, fields, and polynomials. Emphasis on finite structures with applications to computing. Prerequisite: MATH 3350 or its equivalent Offered: Other |

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. Prerequisite: MATH 3322 or 3311 with a minimum grade of C |

Course Number: 5370Credit Hours: 3Title: Methods of Applied MathCourse Description:The Dirichlet problem, solution of boundary value problems, the Bergman Kernel function, method of the minimum integral, applications of conformal mapping. Prerequisite: Graduate standing and Mathematics 4310 or 5350 Offered: Other |

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. Prerequisite: MATH 3322 or 3311 with a minimum grade of C |

Course Number: 5380Credit Hours: 3Title: Statistical InferenceCourse Description:Theories of point estimation, interval estimation and hypothesis testing, regression analysis, analysis of variance. Prerequisite: MATH 3370 or its equivalent Offered: Other |

Course Number: 5390Credit Hours: 3Title: ThesisCourse Description:Prerequisite: Approval of graduate advisor. Must complete both for required 6 credits. Offered: Other |

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

Course Number: 5393Credit Hours: 3Title: Research Thesis in Mathematics EducationCourse Description:Prerequisite: Approval of Graduate advisor. Offered: Other |