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 |
Pre-calculus 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, p-groups, 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; split-plot designs; analysis of covariance; multivariate regression; covariance and correlation; introduction to distribution-free 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 second-order 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, game-theoretic 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 Four-Color 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; non-Euclidean 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 non-Euclidean 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, p-groups, 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 k-th 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 semi-algebras, 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 one-parameter 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, split-plot designs, analysis of covariance, multivariate regression, covariance and correlation, introduction to distribution-free 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 Non-Lin 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 Non-Linear Pde II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Formal and computational aspects of Navier-Stokes 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, Moore-Smith 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 | | |
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