MAT 702N Research in Mathematics Education I (3 Credit Hours)

Prerequisites: Completion of a course in statistics and completion of the Measurement and Evaluation Standard

This course will allow the student to find and study models of accomplished researchers on the teaching of Mathematics at the secondary level. The course will examine necessary concepts in research validity; data gathering; instrumentation selection and construction; validation and reliability determinations; sampling techniques; and research designing. Further, the course will review the application of statistical models salient to designs utilized in conducting research which requires the testing of hypotheses that have been generated from problems in secondary school Mathematics. Open only to M.A.T. and M.Ed. candidates for degree credit.

MAT 705 Modern Plane Geometry (3 Credit Hours)

Prerequisite: Two semesters of Calculus

Suggested topics are: axiomatic approach to plane geometry, parallel postulate, Euclidean and hyperbolic geometries; quadratic extensions and angle trisection; plane measure.

MAT 721 Real Analysis II (3 Credit Hours)

Prerequisite: Real Analysis I

Suggested topics are functions of several real variables, Jacobians, implicit and inverse function theorems, vector analysis, theorems of Green, Gauss, and Stokes, with applications and additional topics as time permits.

MAT 747 Applied Statistical Inference (3 Credit Hours)

Prerequisite: Acceptance into either the Master of Science in Mathematics, Master of Arts in Teaching Mathematics or the Master of Science in Geo- Information Science program or permission of the Mathematics Graduate Program Coordinator.

A study of probability and statistical inference. Suggested topics are: Probability, discrete and continuous probability distributions, sampling distribution theory, confidence intervals, tests of statistical hypotheses, linear regression, and a nonparametric method: the Kolmogorov-Smirnov Goodness-of-Fit Test; applications to spatial statistics. The emphasis of the course is on applications and conceptual understanding, rather than on mathematical derivations.

MAT 807 Statistical Inference (3 Credit Hours)

Prerequisite: Mathematical Statistics

A continuation of MAT 707. Suggested topics are multiple regression, analysis of variance, decision functions, Bayes solutions, and nonparametric methods.

MSM 717 History of Mathematics for Middle School Teachers (3 Credit Hours)

Prerequisites: Acceptance into the Master of Arts in Teaching Middle School Mathematics program or permission of the Master of Arts in Teaching Middle School Mathematics coordinator. Not available for degree credit towards the MAT or MS programs.

This course is a survey of the history of mathematics, with emphasis placed on the development of topics encountered by students in elementary through middle school. Topics include numeration systems of ancient cultures, Euclidean geometry and number theory, origins of algebra, calculating devices throughout history, mathematics of non-western cultures, classical probability and modern topics such as graph theory and fractals.