MTH 1010 Algebra
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Sets and real numbers; algebra of polynomials; algebra of rational expressions; exponents and radicals; linear equations and inequalities; systems of linear equations; quadratic equations.  3  0  0   
MTH 1020 Algebra A
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Linear equations and applications; systems of linear equations; linear functions in the rectangular coordinate system. The combination of MTH 102 + MTH 103 + MTH 104 is equivalent to MTH 101.  1  0  0   
MTH 1030 Algebra B
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Algebra of polynomials; algebra of rational expressions; solving polynomial and rational equations; ratio and proportion; literal equations. The combination of MTH 102 + MTH 103 + MTH 104 is equivalent to MTH 101.  1  0  0   
MTH 1040 Algebra C
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Rational exponents; radical expressions; solving equations containing radical expressions; quadratic equations; applications of quadratic equations.  1  0  0   
MTH 1090 Engineering Math
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
A course for high school students that covers functions, graphs of functions, descriptive statistics including mean, mode, median, standard deviation, and right triangle trigonometry.  3  0  0   
MTH 1100 Applications in Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
A special course for high school students providing an introduction to statistics along with applications. Through a combination of lectures and problem solving sessions, the student will be exposed to the topics of central measures  mode, mean, and standard deviation  as well as with topics in confidence levels.  2  0  0   
MTH 1110 Mathematical Analysis I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Equations and inequalities; graphs and functions; polynomials and rational functions; exponential and logarithmic; systems of equations and inequalities; matrices and determinants; conic sections.  3  0  0   
MTH 1120 Mathematical Analysis II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Precalculus topics; derivatives and integrals; applications; techniques of integration.  3  0  0   
MTH 1400 Elementary Functions
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Study of functions, including polynomials; rational, algebraic, exponential, logarithmic and trigonometric functions. Computer laboratory included.  3  0  0   
MTH 1410 Analytic Geom & Calculus I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Functions; limits and continuity; derivatives and integrals of polynomial, rational and trigonometric functions. Computer laboratory included.  4  0  0   
MTH 1420 Analytic Geom & Calculus II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Topics in analytic geometry, differentiation and integration of exponential, logarithmic and inverse trigonometric functions; sequences and series. Computer laboratory included.  4  0  0   
MTH 2140 Basic Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Statistical analysis for business and social science applications; descriptive statistics; probability; sampling; estimation; hypothesis testing; regression analysis.  3  0  0   
MTH 2410 Analytic Geom & Calculus III
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Plane curves; polar coordinates; vectors in two and three dimensions; analytic geometry in the three dimensions; vector valued functions; partial derivatives and multiple integrals.  4  0  0   
MTH 2760 Discrete Structures
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Sets; functions and proof techniques; logic and logic circuits; relations; combinatorics; some graph theory; application to Computer Science.  3  0  0   
MTH 3050 Mathematics of Finance
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Measurement of interest; nominal and effective interest; force of interest; present value factor; annuities; amortization schedules and sinking funds; reinvestment rates; bonds and other securities.  3  0  0   
MTH 3060 Mathematical Thinking
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Students will learn how to form plausible conjectures. Students will be introduced to various techniques of proofs such as direct proof, proof by contrapositive, proof by induction, etc. Applications of these techniques on set theory, analysis, conmbinatories group theory, and functions and relations will be discussed.  3  0  0   
MTH 3270 Probability/Stats
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Introductory probability theory; elements of sampling and descriptive statistics; sampling distributions; computer laboratory using a statistical software package.  2  0  0   
MTH 3720 Differential Eqns w Linear Alg
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Linear dependence; linear differential equations and applications; systems of linear differential equations; series solutions.  4  0  0   
MTH 4020 Linear Algebra w Applications
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Vector spaces, matrices, systems of linear equations, determinants, inner products, linear transformations, similar matrices, eigenvalues and eigenvectors of a matrix.  3  0  0   
MTH 4050 Modern Algebra I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Sets and mappings, an axiomatic approach to the number system, groups, rings, ideals, fields, isomorphism theorems, induction, permutations.  3  0  0   
MTH 4060 Modern Algebra II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Euclidean domains, polynomial rings, field extension, finite fields, finite groups, pgroups, the Sylow theorems, introduction to Galois theory.  3  0  0   
MTH 4150 Theory Of Numbers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Divisibility, congruences, quadratic reciprocity, number theoretic functions, Diophantine equations, prime number theorems, recent developments in number theory.  3  0  0   
MTH 4230 Probability
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Probability theory based on the Kolmogorov axioms, combinatorics, independence, random variables, expectation, probability distributions, Chebyshev's inequality, central limit theorem.  3  0  0   
MTH 4270 Applied Prob and Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Introductory probability theory; elements of sampling and descriptive statistics; sampling distributions; estimations and hypothesis testing; regression and correlation analysis; computer laboratory using a statistical software package.  3  0  0   
MTH 4280 Analysis of Variance
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Completely randomized design; randomized complete block design; complete factorial designs; splitplot designs; analysis of covariance; multivariate regression; covariance and correlation; introduction to distributionfree methods.  3  0  0   
MTH 4350 Modern Analysis I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Techniques of mathematical proofs chosen from real numbers, sets, functions, point set theory, theory of limits, continuity, differentiation, Riemann integral, and infinite series.  3  0  0   
MTH 4360 Modern Analysis II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Infinite series, sequences of functions, differentiation of functions of several variables, maxima and minima, function spaces, norms, operator theory.  3  0  0   
MTH 4370 Complex Variables
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Analytic functions; complex integration; application of Cauchy's theorem; conformal mapping; applications.  3  0  0   
MTH 4510 Techniques of Adv Calculus
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Real vector spaces, Laplace transforms, Fourier series, boundary value theorems, series solution about singular points, Bessel functions, Legendre polynomials.  3  0  0   
MTH 4520 Nonlinear Differential Eqns
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Boundary value problems, asymtotic solutions, autonomous systems, systems of equations, applications.  3  0  0   
MTH 4530 Linear Partial Differential Eq
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
First and secondorder equations, initial and boundary value problems, integral transforms, Green's function, perturbations, variational and asymtotic methods.  3  0  0   
MTH 4550 Operations Researc
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Linear programming, project scheduling, dynamic programming, integer programming, queuing theory.  3  0  0   
MTH 4570 Regression Modelng
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
A study of mathematical modeling concepts utilizing qualitative and quantitative variables and applied regression analysis. The practical interaction of mathematics, basic statistics, and regression analysis is developed and applied to a real world setting.  3  0  0   
MTH 4580 Applied Analysis
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Optimization concepts, maxima and minima for functions of one and several variables, calculus of variations using direct and indirect methods.  3  0  0   
MTH 4590 Model Building
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Introduction to the ideas of a mathematical model and model building, linear programming models, gametheoretic models, regression analysis models. Applications in business, ecology, psychology, sociology, and political science.  3  0  0   
MTH 4600 Graph Theory
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Trees, connectivity, coverings, planarity, colorability, networks and digraphs  3  0  0   
MTH 4610 Transformational Geometry
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Transformations of the Euclidean, affine and projective planes. Classification of these transformations by groups and their invariant properties.  3  0  0   
MTH 4620 Projective Plane
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
An axiomatic development of the projective plane, models of the projective plane, analytic plane geometry.  3  0  0   
MTH 4660 Introduction to Topology
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Topics to be chosen from metric spaces, topological spaces, compactness, product spaces, the Tychonoff theorem, rubber sheet geometry, Euler's formula, the FourColor Problem, the Jordan curve theorem, topological properties of figures.  3  0  0   
MTH 4690 Mathematics Seminar
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Students will prepare and present paper(s) related to their primary area of interest. This course should be taken by mathematics majors in their final year of study.  3  0  0   
MTH 4770 Con of Elementary Math I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
(Credit applies only in undergraduate or graduate programs in mathematics education.) Sets, logic, mathematical systems, systems of numeration, natural numbers, whole numbers, integers, rational numbers, real numbers.  3  0  0   
MTH 4780 El Sch Math II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
(Credit applies only in undergraduate or graduate programs in mathematics education.) Foundations of algebra, metric and nonmetric geometry, probability and statistics.  3  0  0   
MTH 4800 Analy For Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
(Credit applies only in undergraduate or graduate programs in mathematics education.) Topics chosen from algebra and trigonometry, including roots of polynomial equations, root approximation techniques, the factor theorem, the remainder theorem, Descartes' rule of signs, trigonometric functions, law of sines, law of cosines, complex numbers.  3  0  0   
MTH 4810 Modern Algebra for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. Structure of a mathematical system, groups, fields, ordered fields including important models (namely the real number system).  3  0  0   
MTH 4820 Linear Algebra for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. Matrices, vectors, mathematical systems, determinants, inverse of a matrix system of linear equations, matrix solutions, linear inequalities, linear programming  3  0  0   
MTH 4830 Concepts of Geometry
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. Intuitive geometry; axiomatic geometry including treatment of lines, planes, congruence, measures, parallelism and similarity; nonEuclidean geometries.  3  0  0   
MTH 4840 History of Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. A historical development of mathematics from primitive origins to the Twentieth Century concentrating on numeration systems, arithmetic methods. Euclidean and nonEuclidean geometries, number theory, theory of equations, and the origins of Calculus.  3  0  0   
MTH 4850 Prob & Statistics for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. Organization and presentation of data, frequency distributions, measures of centrality and dispersion, percentiles and standard scores, sampling theory and distributions, tests of hypotheses and confidence intervals, correlation.  3  0  0   
MTH 4860 Higher Arithmetic for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. Divisibility, prime numbers, congruences, quadratic reciprocity law.  3  0  0   
MTH 4870 Finite Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Credit only applies in mathematics education. Topics selected from combinatorial analysis, probability, stochastic processes and Markov chains, theory of games.  3  0  0   
MTH 4900 Topics in Advanced Math
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Course may be repeated for additional credit. Content of the course varies according to the needs or desires of the students.  0  0  0   
MTH 5020 Adv Linear Algebra
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Vector spaces, linear transformations, canonical matrices, metric spaces, linear programming optimization, applications to business and engineering.  3  0  0   
MTH 5050 Modern Algebra I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Sets and mapping, an axiomatic approach to the number system, general algebraic systems, groups, rings and ideals, fields, isomorphism theorems.  3  0  0   
MTH 5060 Modern Algebra II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Euclidean domains, polynomial rings, field extensions, finite fields, finite groups, pgroups, the Sylow theorems, introduction to Galois theory.  3  0  0   
MTH 5070 Theory Of Groups
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Groups, normal subgroups, homomorphism, Abelian groups, Sylow theorems, permutation groups, composition series, solvable groups.  3  0  0   
MTH 5080 Theory Rings/Flds
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Rings, ideals, fields, extensions, Galois theory of fields, Noetherian rings.  3  0  0   
MTH 5150 Adv Theory Of Nbrs
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Farey fractions, distribution of primes, quadratic forms, representation of integers as sums of kth powers, quadratic fields, introduction to algebraic number theory and foundations of analytic number theory.  3  0  0   
MTH 5230 Adv Probability
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Probability spaces, extension of probability, Boolean semialgebras, compact classes, integration of random variables, Laplace spaces, product of measurable spaces, conditional expectations and Martingales, ergodic theory and Markov processes.  3  0  0   
MTH 5240 Theory Stat Estim
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Testing of hypotheses in oneparameter cases, power of a test, most powerful critical regions, asymptotically best tests, estimation of a single parameter, some properties of efficient statistics, the multi parameter theory.  3  0  0   
MTH 5270 App Prob & Stats
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Elements of sampling and descriptive statistics, sampling distributions, estimation and hypothesis testing, regression and correlation analysis.  3  0  0   
MTH 5280 Analysis Variance
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Completely randomized design, randomized complete block design, Latin square design, complete factorial designs, splitplot designs, analysis of covariance, multivariate regression, covariance and correlation, introduction to distributionfree methods.  3  0  0   
MTH 5330 Measure Theory
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Lesbegue outer measure and Lesbegue measure of sets, measurable functions, Lesbegue integrable functions and square integrable functions.  3  0  0   
MTH 5340 Functional Analys
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Normed linear spaces, Banach spaces, Hilbert spaces.  3  0  0   
MTH 5370 Complex Variables
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Analytic functions, complex integration, application of Cauchy's theorem, power series, conformal mapping, applications.  3  0  0   
MTH 5490 Graduate Seminar
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Students undertake a significant mathematical project in area of interest to them, prepare a scholarly paper, and make an oral presentation in class. This should ordinarily be taken in the last semester of graduate studies.  3  0  0   
MTH 5500 Vector/Tensor Analysis
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Vector differential calculus, vector interval calculus, functions of a complex variable, conformal mappings.  3  0  0   
MTH 5520 NonLin PDE's I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Formal and computational aspects of solutions and related equations. Focus on engineering applications.  3  0  0   
MTH 5530 NonLinear Pde II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Formal and computational aspects of NavierStokes and related equations. Focus on engineering applications.  3  0  0   
MTH 5570 Grad Applied Math
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Mathematical modeling concepts utilizing qualitative and quantitative variables and applied regression analysis. Practical interaction of mathematics, basic statistics and regression analysis.  3  0  0   
MTH 5580 Grad Applied Analy
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Optimization concepts, maxima and minima for functions of one and several variables, calculus of variations using direct and indirect methods.  3  0  0   
MTH 5600 Graph Theory
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Trees, connectivity, coverings, planarity, colorability, networks, digraphs.  3  0  0   
MTH 5630 Algebraic Geometry
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Plane algebraic curves, singularities, formal power series, transformations.  3  0  0   
MTH 5650 Diff Geometry
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Theory of curves and surfaces in ordinary space, Frenet formulas, curves in a surface, developable surfaces, intrinsic geometry on a surface, geodesics, quadric surfaces, ruled surfaces.  3  0  0   
MTH 5660 Genl Topology
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Abstract topological spaces, classification and properties, MooreSmith convergence, compact and uniform spaces.  3  0  0   
MTH 5900 Top In Grad Math
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Course may be repeated for additional credit. Content of the course varies according to the needs and desires of the student.  1  0  0   

