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Master of Science Program in Mathematics


Fall Schedule - 2008

 

Math 431 - Algebra And Linear Algebra (25165)
One of the core offerings. A graduate level treatment of algebraic structures and linear algebra. Included will be a detailed survey of algebraic structures: elementary group theory, ring theory and elementary field theory. Also included will be standard matrix algebra and matrix techniques, solutions of equations and determinants; general vector spaces, basis and dimension; linear transformations, linear operators and the relationship to matrices; inner product spaces and orthonormalization, least squares approximations, Hilbert spaces; diagonalization and other canonical forms for matrices; eigenvalues, eignevectors and applications to ordinary differential equations; Hermitian, unitary and positive definite matrices. Incorporated will be a discussion of the historical development of both abstract and linear algebra and the relationship of linear algebra to analysis. Part I in the fall will be primarily Abstract Algebra while Part II in the spring will be primarily Linear Algebra.
Monday 6:30-9:00 - Dr. Janet Striuli

Math 451 - Probability And Statistics I (23347)
A graduate level treatment of the theory of Probability and Mathematical Statistics. Included will be probability spaces and finite counting techniques, random variables and distribution functions, density, mass functions and expectation. The standard random variables. Multivariate distributions. Functions and sums of random variables. Limit theorems - weak and strong law of large numbers and the central limit theorem. Theory of estimators, maximum likelihood techniques. Theory of estimation. Hypothesis testing theory - decision analysis. Bayesian methods.
Tuesday 6:30-9:00 - Dr. Ben Fine

Math 550 - Classical Financial Mathematics (23674)
This course will cover the basic mathematics, ideas and theory in classical financial investments. This will include the basic formulas for compound interest and effective yields. Infinite series and exponential functions. Annuities and perpetuities. Amortization and sinking funds. Time value of money. Bond and stock discounts. This course is part of the Certificate Program in the Mathematics of Finance but is open to all in the program.
Wednesday 6:30-9:00 - Dr. Alan Anderson

Math 531 - Applied Mathematics I (25166)
This is the first part of a two course sequence in applied mathematics. Topics will include: mathematical modeling, ordinary differential equations and their solutions, linear differential equations, series methods, transform methods - Laplace transforms, partial differential equations, boundary value problems, Fourier series and Fourier analysis, some concepts of Probability Theory. The first course will be primarily ordinary differential equations. This course is part of the Certificate Program in the Mathematics of Finance but is open to all in the program.
Thursday 6:30-9:00 - Dr. Matthew Coleman

Math 545 - Number Theory (25167)
A graduate level survey of the problems and techniques of number theory. Included will be elementary number theory, and introductions to analytic and algebraic number theory.
Tuesday 6:30-9:00 - Dr. Dennis Spellman

Math 520 - Geometry (24499)
This course is a graduate level treatment of Geometry - both Euclidean and non-Euclidean. Included will be an introduction to The Geometer's Sketchpad that can be used in a secondary school classroom. This course is highly recommended for the program for teachers.
Thursday 6:30-9:00 - Prof. Ben Fine

7/2/08
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