MATH 5020 3 credits Teaching of Mathematics in the Middle and Secondary School

An analysis of the mathematics studies in the middle and secondary schools. Topics include the principles and standards implemented by the NCTM for teaching mathematics and the methods and materials used in educating students in mathematics. P: MATH 2740.

MATH 5040 4 credits Mathematics Seminar for Middle School Teachers

This course is intended to provide a background for teaching algebra and geometry in the middle school. The course will emphasize problem solving, communication, reasoning, representations and making connections. Through problem solving activities lead by either the instructor or students, the course will emphasize specific topics such as proportional reasoning, pattern finding, generalizing functional relationships, solving equations, area, perimeter and volume. In particular, the course will emphasize the links between algebra and geometry, and when appropriate, will use relevant manipulatives including technology. The course will also emphasize pedagogical implications of current research regarding the teaching and learning of algebra and geometry. P: Three courses in mathematics for elementary school teachers or consent of the department chair.

MATH 5130 3 credits College Geometry

Topics in Euclidean geometry including classical theorems, transformational geometry, and Euclidean construction. Noneuclidean topics include inversion and reciprocation, as well as some ideas from projective geometry. A dynamic geometry software program is used extensively to illustrate ideas in the course. P: MATH 2640.

MATH 5230 3 credits Linear Algebra

Matrices, systems of equations, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, and diagonalization. P: MATH 2740 with a grade of “C” or better.

MATH 5330 3 credits Modern Algebra

Study of the structure of abstract algebraic systems through formal proof; deals primarily with groups, but also examines other algebraic systems including rings and fields. P: MATH 3230 or MATH 5230 with a grade of “C” or better.

MATH 5630 3 credits Differential Equations I

Solution of first order differential equations, linear homogenous and non-homogeneous differential equations, Laplace transforms, linear systems, and applications. P: Grade of “C” or better in MATH 2840.

MATH 5730 3 credits Numerical Analysis

This course is intended to provide an introduction to numerical methods. Topics will include computer arithmetic, solving nonlinear equations, numerical linear algebra, interpolation and curve fitting, numerical calculus and numerical solutions of ordinary differential equations. Other topics may be added as time permits. P: Fluency in a programming language and MATH 3230.

MATH 5830 3 credits Differential Equations II

Linear systems of differential equations, nonlinear systems, series solutions of differential equations, partial differential equations, orthogonal sets and Fourier series. P: MATH 3630 or MATH 5630 with a grade of “C” or better.

MATH 6030 3 credits Statistical Methods with Applications

Introduction to probability, density and distribution functions, special discrete and continuous distributions, estimation, hypothesis testing, chi-square, correlation, and regression. P: Grade of “C” or better in MATH 2740.

MATH 6040 3 credits Statistics and Probability

A thorough investigation of more advanced applications in statistics including joint distributions, linear regressions, multiple regression, design of experiments for a single factor and multiple factors, analysis of variance, nonparametric statistics and statistical quality control. P: grade of “C” or better in MATH 4030 or MATH 6030.

MATH 6320 2 credits History and Development of Mathematical Concepts

A study of the history and development of mathematics from the primitive origins of numbers to modern mathematics. P: MATH 2640 with a grade of “C” or better.

MATH 6330 3 credits Theory of Numbers

Integers, divisibility, prime numbers, Euclidean algorithm, linear Diophantine equations, congruences, Wilson’s and Euler’s theorems, Fermat’s little theorem and other selected topics. P: a “C” or better in MATH 2640.

MATH 6430 3 credits Advanced Calculus

Study, through formal proof, of sequences, limits, continuity, differentiation, integration, infinite series, and uniform convergence. P: MATH 2840 with a grade of “C” or better.

MATH 6530 3 credits Complex Variables

Complex numbers, complex functions, differentiation, elementary functions, integration, and infinite series. P: MATH 2840 with a grade of “C” or better.

MATH 6620 1-3 credits Topics in Modern Mathematics

Topics to be selected by the instructor. P: Approval of the instructor.

MATH 7920 0-2 credits Seminar Paper Research

MATH 7980 1-4 credits Independent Study in Mathematics

The amount of graduate credit allowed for independent study may not exceed a total of four credits except with the special permission of the student’s advisor and the graduate dean. Approval must be secured before independent study courses are begun. Students registering for independent study must submit at or before registration a description signed by the instructor conducting the independent study of the subject to be covered. Independent study may not be used for collecting information for the seminar paper.

MATH 7990 3-6 credits Thesis Research