|
MTH 1010 Algebra
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
UAS 0950 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
UAS 0950 (Minimum Grade of C, May not be taken concurrently)
Corequisites: MTH 1030 MTH 1040
Linear equations and applications; systems of linear equations; linear functions in the rectangular coordinate system. The combination of MTH 1020 + MTH 1030 + MTH 1040 is equivalent to MTH 1010. | 1 | 0 | 0 | | |
|
MTH 1030 Algebra B
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1020 (Minimum Grade of C, May be taken concurrently)
Corequisites: MTH 1040
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 |
Prerequisites:
MTH 1030 (Minimum Grade of C, May be taken concurrently)
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 |
This course introduces high school students to the basic concepts behind right triangle and circle based trigonometry. Topics covered include angles, right triangle trigonometry formulas, law of sines and cosines, applications of triangle-based trigonometry, circle trigonometry formulas, the relationship between right triangle and circle trigonometry, the unit circle, circumference, reference angles. | 2 | 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 |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
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 |
Prerequisites:
MTH 1110 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
Study of functions, including polynomials; rational, algebraic, exponential, logarithmic and trigonometric functions. Computer laboratory included. | 3 | 0 | 0 | | |
|
MTH 1410 Analytic Geometry and Calculus I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1400 (Minimum Grade of C, May not be taken concurrently)
Functions; limits and continuity; derivatives and integrals of polynomial, rational and trigonometric functions. Computer laboratory included. | 4 | 0 | 0 | | |
|
MTH 1420 Analytic Geometry and Calculus II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1410 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
Statistical analysis for business and social science applications; descriptive statistics; probability; sampling; estimation; hypothesis testing; regression analysis. | 3 | 0 | 0 | | |
|
MTH 2410 Analytic Geometry and Calculus III
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1410 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1120 (Minimum Grade of D, May not be taken concurrently)
OR
MTH 1420 (Minimum Grade of D, May not be taken concurrently)
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 |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
MTH 2760 (Minimum Grade of C, May not be taken concurrently)
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 Introduction to Probability and Statistics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 2410 (Minimum Grade of C, May not be taken concurrently)
Introductory probability theory; elements of sampling and descriptive statistics; sampling distributions; computer laboratory using a statistical software package. | 2 | 0 | 0 | | |
|
MTH 3720 Differential Equations with Linear Algebra
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
Linear dependence; linear differential equations and applications; systems of linear differential equations; series solutions. | 4 | 0 | 0 | | |
|
MTH 4020 Linear Algebra with Applications
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 Introduction to Modern Algebra I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 2760 (Minimum Grade of C, May not be taken concurrently)
MTH 4020 (Minimum Grade of C, May not be taken concurrently)
Sets and mappings, an axiomatic approach to the number system, groups, rings, ideals, fields, isomorphism theorems, induction, permutations. | 3 | 0 | 0 | | |
|
MTH 4060 Introduction to Modern Algebra II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4050 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 2410 (Minimum Grade of C, May not be taken concurrently)
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 Probability and Statistics
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 4270 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 2760 (Minimum Grade of C, May not be taken concurrently)
MTH 3060 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 4350 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 2410 (Minimum Grade of C, May not be taken concurrently)
Analytic functions; complex integration; application of Cauchy's theorem; conformal mapping; applications. | 3 | 0 | 0 | | |
|
MTH 4510 Techniques of Advanced Calculus
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 2410 (Minimum Grade of C, May not be taken concurrently)
MTH 3720 (Minimum Grade of C, May not be taken concurrently)
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 Equations
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4510 (Minimum Grade of C, May not be taken concurrently)
Boundary value problems, asymtotic solutions, autonomous systems, systems of equations, applications. | 3 | 0 | 0 | | |
|
MTH 4530 Linear Partial Differential Equations
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4510 (Minimum Grade of C, May not be taken concurrently)
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 Research
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4020 (Minimum Grade of C, May not be taken concurrently)
Linear programming, project scheduling, dynamic programming, integer programming, queuing theory. | 3 | 0 | 0 | | |
|
MTH 4570 Regression Modeling
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 3720 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
Transformations of the Euclidean, affine and projective planes. Classification of these transformations by groups and their invariant properties. | 3 | 0 | 0 | | |
|
MTH 4620 The Projective Plane
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 |
Prerequisites:
MTH 1420 (Minimum Grade of C, May not be taken concurrently)
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 Concepts of Elementary School Mathematics I
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
(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 Concepts of Elementary School Mathematics II
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 4770 (Minimum Grade of C, May not be taken concurrently)
(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 Analysis for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1010 (Minimum Grade of D, May not be taken concurrently)
(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 |
Prerequisites:
MTH 1400 (Minimum Grade of C, May not be taken concurrently)
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 Fundamental Concepts of Geometry
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
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 |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
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 Probability and Statistics for Teachers
| Credit Hours | Recitation/Lecture Hours | Studio Hours | Clinical Hours | Lab Hours |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
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 |
Prerequisites:
MTH 1010 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1020 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1030 (Minimum Grade of C, May not be taken concurrently) AND
MTH 1040 (Minimum Grade of C, May not be taken concurrently)
OR
MTH 1100 (May not be taken concurrently)
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 |
Prerequisites:
MTH 1400 (Minimum Grade of C, May not be taken concurrently)
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 Mathematics
| 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. | 1 | 0 | 0 | | |
|
|
