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Graduate Mathematics

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Graduate Mathematics

2012 Fall Term

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3 Units

APPLIED STATISTICS

Mathematics 542

This course will cover the basics of statistical testing, regression analysis, experimental design, analysis of variance, the use of computers to analyze statistical problems.


3 Units

MATRICES AND LINEAR ALGEBRA

Mathematics 555

Systems of linear equations, vector spaces, linear dependence, bases, dimension, linear mappings, matrices, determinants, quadratic forms, orthogonal reduction to diagonal form, eigenvalues, geometric applications.


3 Units

PROBLEM SOLVING FOR THE ELEMENTARY TEACHER

Mathematics 570

This course is primarily for pre-service elementary and middle school teachers. Students will learn a variety of problem solving strategies applicable in elementary and middle school. The applications will cover many different areas of mathematics.


3 Units

DEVELOPMENT OF MATHEMATICS

Mathematics 575

A study of the development of mathematical notation and ideas from prehistoric times to the present. Periods and topics will be chosen corresponding to the backgrounds and interests of the students.


3 Units

GEOMETRY FOR THE ELEMENTARY TEACHER

Mathematics 616

A study of the intuitive, informal geometry of sets of points in space. Topics include elementary constructions, coordinates and graphs, tessellations, transformations, problem solving, and symmetries of polygons and polyhedra and use of geometry computer software.


3 Units

PROBABILITY THEORY

Mathematics 641

Probability spaces, discrete and continuous random variables, mathematical expectation, discrete and continuous distributions.


3 Units

ABSTRACT ALGEBRA

Mathematics 653

This course is a continuation of MATH 452/652 with emphasis on ring and field theory. Topics include a review of group theory, polynomial rings, divisibility in integral domains, vector spaces, extension fields, algebraic extension fields, etc.


1-3 Units

INDIVIDUAL STUDIES

Mathematics 798

In addition to allowing students to carry on independent studies in a wide variety of graduate level topics, students may take many of the department¿s upper level undergraduate courses supplemented with graduate components. These courses include advanced calculus, complex variables, differential equations, abstract algebra, number theory, probability, statistics, and more.

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