# Course Directory

### Mathematics (MATH)

SUBJECT CODE: MATH
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. Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 1332Credit Hours: 3Title: Contemporary Mathematics ICourse Description:This course is designed to meet the objectives of Component area 1 of the core curriculum for non-science related majors. Topics may include problem solving, sets, logic, and number theory, counting principles, probability and mathematics of finance. Applications are emphasized. Prerequisites: 350 Math TSI, TSI Complete, or TSI Exempt. Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 1342Credit Hours: 3Title: StatisticsCourse Description:Non-calculus based introduction to statistics, statistical measures of data, statistical description of data, elementary probability, random variables, binomial and normal distributions, estimation, testing hypotheses. Prerequisites: 350 Math TSI or TSI Exempt/Complete Prepares for: MATH 3370 Offered: Fall, Spring, Summer Department Description: Mathematics |

SUBJECT CODE: MATH
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. Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 2305Credit Hours: 3Title: Discrete MathematicsCourse Description:An introduction to combinatorial mathematics and finite mathematics required in the study of computer science. Topics include elementary set theory, relations and function, combinatorics, and introduction to graph theory with special emphasis on trees and search algorithms, an introduction to recurrence relations and generating functions, and finite state machines. Prerequisites: Students should be currently enrolled in or have received a grade of C or better in MATH 1325, 2376, 2413, 2460, or 3316 Prepares for: MATH 3321 Offered: Fall, Spring Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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. Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 2312Credit Hours: 3Title: Pre Calculus and Elementary FunctionsCourse Description:Intensive review of algebra, trigonometry and analytic geometry. Prerequisites: MRS 750 or C or better in MATH 1414. Prepares for: MATH 2376, 2413, 2460 Offered: Fall, Spring, Summer Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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, 2414, 3328 Offered: Fall, Spring, Summer Department Description: Mathematics |

SUBJECT CODE: MATH
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 3301, 3321, 3322, 3370, 3435 Offered: Fall, Spring, Summer Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3328 or its equivalent Prepares for: MATH 4302, 4315 Offered: Fall, Spring, Summer Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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. Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Prepares for: MATH 3328 Offered: Fall Department Description: Mathematics |

SUBJECT CODE: MATH
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 2414 and MATH 3328, and satisfactory completion of COSC requirement. Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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: Grade of C or better in MATH 2414 or its equivalent Prepares for: MATH 3330, 3350, 4325, 4330 Offered: Spring Department Description: Mathematics |

SUBJECT CODE: MATH
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: Grade of "C" or better in Math 1342 or consent of Instructor Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 3328Credit Hours: 3Title: Linear Algebra ICourse Description:Linear Algebra, matrix arithmetic, linear systems, vector spaces, fundamental subspaces, orthogonal projections, least squares method, QR factorization, eigenvalues and eigenspaces, introduction to linear differential equations, exponential of a matrix, and singular value decomposition, utilizing a computer algebra or numerical system for performing linear algebra. Prerequisites: Grade of C or better in MATH 2413 or its equivalent Prepares for: MATH 3301, 3321, 4315, 4318, 4330 Offered: Fall, Spring Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 3350Credit Hours: 3Title: Modern Algebra ICourse Description:An introduction to abstract algebraic structures concentrating mainly in group theory. Topics in group theory include cyclic groups, normal subgroups, quotient groups, homomorphisms, isomorphisms, permutation groups, the Sylow theorems, and the structure theorem for finite abelian groups. Prerequisites: Grade of C or better in MATH 3322 or its equivalent Prepares for: MATH 3351 Offered: Fall Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 3351Credit Hours: 3Title: Modern Algebra IICourse Description:Continuation of MATH 3350. The abstract algebraic structures studied here include rings, fields, and modules. MATH 3351 is strongly recommended for undergraduates contemplating graduate study in mathematics. Prerequisites: Grade of C or better in MATH 3350 or its equivalent Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 3435Credit Hours: 4Title: Calculus IIICourse Description:Functions of several variables, partial derivatives, vector functions, multiple integrals in different coordinate systems, line and surface integrals of both functions and vector fields, some basic 1st and 2nd order differential equations. Prerequisites: Grade of "C" or better in MATH 2414 or its equivalent Prepares for: MATH 4302, 4310 Offered: Fall, Spring Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3435 and MATH 3301 or their equivalents Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3435 or its equivalent Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3328 and MATH 3301, and one of ELEN 1301, COSC 1377, or COSC 3306 Prepares for: MATH 4316 Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3328 and 3301 or their equivalents Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3328 and MATH 3322 or their equivalents Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3380 or its equivalent Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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, 4326 or permission of instructor Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3435 and COSC 1336, or its equivalent Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 2414 and MATH 3328 Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 its equivalent Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 3301 and MATH 3328 Offered: Fall Department Description: Mathematics |

SUBJECT CODE: MATH
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 2414 and MATH 3328 Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
Course Number: 5350Credit Hours: 3Title: Complex VariablesCourse Description:Complex numbers, analytic functions, complex line integrals, Cauchy integral formula and applications. Prerequisite: MATH 3435 Offered: Other Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

SUBJECT CODE: MATH
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 Department Description: Mathematics |

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

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

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