Mathematics 5020 3 credits
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.
Mathematics 5040 4 credits
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.
Mathematics 5130 3 credits
Topics in Euclidean geometry include classical theorems, transformational geometry, and Euclidean construction. Axiomatic structures are studied by examining finite geometrics. Prerequisite: Mathematics 2640.
Mathematics 5230 3 credits
Matrices, systems of equations, determinants, eigenvalues, eigenvectors, vector spaces, linear transformations, and diagonalization. Prerequisite: Mathematics 2740 with a grade of "C" or better.
Mathematics 5330 3 credits
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.
Mathematics 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. Prerequisite: Grade of "C" or better in Mathematics 2840.
Mathematics 5730 3 credits
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.
Mathematics 5830 3 credits
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.
Mathematics 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. Prerequisite: Grade of "C" or better in Mathematics 2740.
Mathematics 6040 3 credits
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.
Mathematics 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 the modern mathematics of the 20th century. Prerequisite: Mathematics 2640 with a grade of "C" or better.
Mathematics 6330 3 credits
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.
Mathematics 6430 3 credits
Sequences, limits, continuity, differentiation, integration, infinite series, and uniform convergence. Prerequisite: Mathematics 2840 with a grade of "C" or better.
Mathematics 6530 3 credits
Complex numbers, complex function, differentiation, elem-entary functions, integration, and infinite series. Prerequisite: Mathematics 2840 with a grade of "C" or better.
Mathematics 6620 1-3 credits
Topics in Modern Mathematics
Topics to be selected by the instructor. Prerequisite: Approval of the instructor.
Mathematics 7920 0-2 credits
Seminar Paper Research
Mathematics 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.
Mathematics 7990 3-6 credits