Teaching of Mathematics in the Middle and Secondary School

A study of the mathematics curriculum 6-12 and the methods and materials used in teaching middle and secondary school mathematics. Prerequisite: Mathematics 2740.

Algebra and Geometry for Elementary/Middle School Teachers

Extends the teacher's knowledge of mathematics through the study of algebra, number theory, motion geometry, inductive and deductive reasoning, and problem solving. Calculators and computers will be used to investigate topics of mathematics by using spreadsheets, geometric investigation software, graphing software, graphing calculators, and the LogoWriter computer language. Students will learn to use manipulatives to help students understand mathematical concepts. This will include Algebra Lab Gear, D.I.M.E. materials, and geoboards. Prerequisites: Three courses in mathematics for elementary school teachers or consent of the department chair.

College Geometry

Topics in Euclidean geometry include classical theorems, transformational geometry, and Euclidean construction. Axiomatic structures are studied by examining finite geometrics. Prerequisite: Mathematics 2640.

Linear Algebra

Matrices, systems of equations, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, and diagonalization. Prerequisite: Mathematics 2740 with a grade of "C" or better.

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. Prerequisite: Mathematics 3230 or Mathematics 5230 with a grade of "C" or better.

Differential Equations I

Solution of first order differential equations, linear homogenous and non-homogeneous differential equations, Laplace transforms, linear systems, and applications. Prerequisite: Grade of "C" or better in Mathematics 2840.

Numerical Analysis

An introduction to numerical methods stressing the basic operations of computations, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations. Prerequisite: Fluency in a programming language and Mathematics 3230.

Differential Equations II

Series solutions of linear differential equations, nonlinear series solutions, specific power series equations, numerical methods, partial differential equations, orthogonal sets and Fourier series. Prerequisite: Mathematics 3630 or Mathematics 5630 with a grade of "C" or better.

Statistical Methods with Applications

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

Statistics and Probability

A thorough investigation of the density functions, means, variances, and moment generating functions for some common probability distributions; gamma and beta distributions; Tchebysheff's Theorem; joint, marginal, and conditional probability distributions; probability distributions of functions of random variables; order statistics; sampling distributions and the Central Limit Theorem; point estimators; method of moments; maximum likelihood estimators; hypothesis testing including power of the test and the likelihood ratio test; simple and multiple linear regression; analysis of variance; nonparametric statistics. Prerequisite: grade of "C" or better in Mathematics 4030 or Mathematics 6030.

History and Development of Mathematical Concepts

A study of the history and development of mathematics from the primitive origins of numbers to the modern mathematics of the 20th century. Prerequisite: Mathematics 2640 with a grade of "C" or better.

Theory of Numbers

Properties of numbers; Euclid's Algorithm; prime numbers; congruencies; residue classes; Wilson's, Euler's and Fermat's Theorems and their consequences; and other selected topics. Prerequisite: a "C" or better in Mathematics 2640.

Advanced Calculus

Sequences, limits, continuity, differentiation, integration, infinite series, and uniform convergence. Prerequisite: Mathematics 2840 with a grade of "C" or better.

Complex Variables

Complex numbers, complex function, differentiation, elem-entary functions, integration, and infinite series. Prerequisite: Mathematics 2840 with a grade of "C" or better.

Topics in Modern Mathematics

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

Seminar Paper Research

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.

Thesis Research