MTH 101 Algebra
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
UAS 095 or equiv
Prerequisite: UAS 095 or equivalent.
Sets and real numbers; algebra of polynomials; algebra of rational expressions; exponents and radicals; linear equations and inequalities; systems of linear equations; quadratic equations.  0  0  0  0  0 
MTH 102 Algebra A
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
UAS 095
UAS 095 or equivalent
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  0  0 
MTH 103 Algebra B
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 102
Grade of C or higher in MTH 102
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  0  0 
MTH 104 Algebra C
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 103
Grade of C or higher in MTH 103
Rational exponents; radical expressions; solving equations containing radical expressions; quadratic equations; applications of quadratic equations.  1  0  0  0  0 
MTH 109 Engineering Math
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
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  0  0 
MTH 110 Applications in Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
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  0  0 
MTH 111 Mathematical Analysis I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 101 or equiv
Prerequisite: MTH 101 or equivalent.
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  0  0 
MTH 112 Mathematical Analysis II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 111
Prerequisite: MTH 111 or equivalent.
Precalculus topics; derivatives and integrals; applications; techniques of integration.  3  0  0  0  0 
MTH 140 Elementary Functions
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 101 or equiv
Prerequisite: MTH 101 or equivalent.
Study of functions, including polynomials; rational, algebraic, exponential, logarithmic and trigonometric functions. Computer laboratory included.  3  0  0  0  0 
MTH 141 Analytic Geometry and Calculus I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 140 or equiv
Prerequisite: MTH 140 or equivalent.
Functions; limits and continuity; derivatives and integrals of polynomial, rational and trigonometric functions. Computer laboratory included.  4  0  0  0  0 
MTH 142 Analytic Geometry and Calculus II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 141
Prerequisite: MTH 141
Topics in analytic geometry, differentiation and integration of exponential, logarithmic and inverse trigonometric functions; sequences and series. Computer laboratory included.  4  0  0  0  0 
MTH 214 Basic Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 101
Prerequisite: MTH 101
Statistical analysis for business and social science applications; descriptive statistics; probability; sampling; estimation; hypothesis testing; regression analysis.  3  0  0  0  0 
MTH 241 Analytic Geometry and Calculus III
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142
Prerequisite: MTH 142.
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  0  0 
MTH 276 Discrete Structures
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 141
Prerequisite: MTH 141.
Sets; functions and proof techniques; logic and logic circuits; relations; combinatorics; some graph theory; application to Computer Science.  3  0  0  0  0 
MTH 305 Mathematics of Compound Interest
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 111 or
MTH 140
Prerequisite: MTH 111 or 140.
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  0  0 
MTH 306 Mathematical Thinking
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 241
MTH 276
Plausible conjectures, techniques of proofs, direct proof, proof by contrapositive, proof by induction, application to set theory, analysis, combinatories, group theory, functions, relations.  3  3  0  0  0 
MTH 327 Introduction to Probability and Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 241
Prerequisite: MTH 241.
Introductory probability theory; elements of sampling and descriptive statistics; sampling distributions; computer laboratory using a statistical software package.  2  0  0  0  0 
MTH 372 Differential Equations with Linear Algebra
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142
Prerequisite: MTH 142.
Linear dependence; linear differential equations and applications; systems of linear differential equations; series solutions.  4  0  0  0  0 
MTH 402 Linear Algebra with Applications
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 141
or permission of instructor.
Vector spaces, matrices, systems of linear equations, determinants, inner products, linear transformations, similar matrices, eigenvalues and eigenvectors of a matrix.  3  0  0   
MTH 405 Introduction to Modern Algebra I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 402
Sets and mappings, an axiomatic approach to the number system, groups, rings, ideals, fields, isomorphism theorems, induction, permutations.  3  0  0   
MTH 406 Introduction to Modern Algebra II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 405
Euclidean domains, polynomial rings, field extension, finite fields, finite groups, pgroups, the Sylow theorems, introduction to Galois theory.  3  0  0   
MTH 410 Foundations of Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 402
(Prerequisite: MTH 402 or permission of instructor.)
Logic, set theory, axiomatic structure of the number system, infinite sets, cardinal numbers, ordinal numbers, axiom of choice.  3  0  0   
MTH 415 Theory of Numbers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142
Divisibility, congruences, quadratic reciprocity, number theoretic functions, Diophantine equations, prime number theorems, recent developments in number theory.  3  0  0   
MTH 423 Probability
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 241
Probability theory based on the Kolmogorov axioms, combinatorics, independence, random variables, expectation, probability distributions, Chebyshev's inequality, central limit theorem.  3  0  0   
MTH 427 Applied Probability and Statistics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 241
Prerequisite: MTH 241.
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  0  0 
MTH 428 Analysis of Variance
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 427
Prerequisite: MTH 427.
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  0  0 
MTH 435 Modern Analysis I
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 402
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 436 Modern Analysis II
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 435
Infinite series, sequences of functions, differentiation of functions of several variables, maxima and minima, function spaces, norms, operator theory.  3  0  0   
MTH 437 Complex Variables
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 241
Prerequisite: MTH 241.
Analytic functions; complex integration; application of Cauchy?s theorem; conformal mapping; applications.  3  0  0  0  0 
MTH 451 Techniques of Advanced Calculus
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 214
Mth 372
Real vector spaces, Laplace transforms, Fourier series, boundary value theorems, series solution about singular points, Bessel functions, Legendre polynomials.  3  0  0   
MTH 452 Nonlinear Differential Equations
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 451
Boundary value problems, asymtotic solutions, autonomous systems, systems of equations, applications.  3  0  0   
MTH 453 Linear Partial Differential Equations
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 451
First and secondorder equations, initial and boundary value problems, integral transforms, Green's function, perturbations, variational and asymtotic methods.  3  0  0   
MTH 455 Operations Research
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 402
Linear programming, project scheduling, dynamic programming, integer programming, queuing theory.  3  0  0   
MTH 457 Regression Modelling
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142
Prerequisite: MTH 142.
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  0  0 
MTH 458 Applied Analysis
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 372
Prerequisite: MTH 372.
Optimization concepts, maxima and minima for functions of one and several variables, calculus of variations using direct and indirect methods.  3  0  0  0  0 
MTH 459 Principles of 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 460 Graph Theory
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142 or
permission of instructor
Prerequisite: MTH 142 or permission of instructor.
Trees, connectivity, coverings, planarity, colorability, networks and digraphs  3  0  0  0  0 
MTH 461 Transformational Geometry
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142
Transformations of the Euclidean, affine and projective planes. Classification of these transformations by groups and their invariant properties.  3  0  0   
MTH 462 The Projective Plane
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 142
An axiomatic development of the projective plane, models of the projective plane, analytic plane geometry.  3  0  0   
MTH 466 Introduction to Topology
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 435
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 469 Seminar in Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
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  0  0 
MTH 477 Concepts of Modern Elementary School Mathematics 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 478 Concepts of Modern Elementary School Mathematics 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 480 Analysis 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 481 Modern Algebra for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 480
Prerequisite: MTH 480.
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  0  0 
MTH 482 Linear Algebra for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 480
Prerequisite: MTH 480.
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  0  0 
MTH 483 Fundamental Concepts of Geometry
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
Prerequisites: Permission of instructor.
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  0  0 
MTH 484 History of Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 101
Prerequisite: MTH 101 or equivalent.
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  0  0 
MTH 485 Statistics for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 101
Prerequisite: MTH 101 or equivalent.
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  0  0 
MTH 486 Higher Arithmetic for Teachers
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 101
Prerequisite: MTH 101 or equivalent.
Credit only applies in mathematics education. Divisibility, prime numbers, congruences, quadratic reciprocity law.  3  0  0  0  0 
MTH 487 Finite Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
MTH 111 or
MTH 482
Prerequisite: MTH 111 or MTH 482.
Credit only applies in mathematics education. Topics selected from combinatorial analysis, probability, stochastic processes and Markov chains, theory of games.  3  0  0  0  0 
MTH 490 Topics in Advanced Mathematics
 Credit Hours  Recitation/Lecture Hours  Studio Hours  Clinical Hours  Lab Hours 
Prerequisites:
(Prerequisite: Permission of the chairperson.)
Course may be repeated for additional credit. Content of the course varies according to the needs or desires of the students.  1  0  0   

