# December 2009

## ADVANCED EUCLIDEAN GEOMETRY

Logical structure and proofs in several geometries including affine, Euclidean and some finite geometries.

Prerequisite or co-requisite: MATH 3253. 3 hours

## MODERN ALGEBRA I

Introduction to algebraic properties of groups, rings, fields and other abstract algebras. Prerequisite: MATH 3253. 3 hours

## MODERN ALGEBRA II

Continuation of MATH 3323. Prerequisite: MATH 3323. 3 hours

## DIFFERENTIAL EQUATIONS

Study of some ordinary differential equations, their applications, and methods of obtaining solutions. Prerequisite: MATH 3243. 3 hours

## ADVANCED CALCULUS I

Rigorous treatment of topics, including advanced topics in calculus of one variable, calculus of several variables, sequences and series, vector calculus, line and surface integrals. Green’s and Stoke’s theorems. Prerequisite: MATH 3243. 3 hours

## ADVANCED CALCULUS II

Continuation of MATH 3363. Prerequisite: MATH 3363. 3 hours

## PROBABILITY AND STATISTICS I

Probability and statistical theory including such topics as conditional probability; distributions; moment generating functions; estimation and confidence intervals. Prerequisite: MATH 2223. 3 hours

## PROBABILITY AND STATISTICS II

Continuation of MATH 4303. Study includes such topics as curve fitting; testing hypotheses; decision making; estimation; small sample distributions; nonparametric methods; regression; correlation and analysis of variance. Prerequisites: MATH 3243 and MATH 4303. 3 hours

## NUMERICAL ANALYSIS

Selected topics in this field including approximation theory; iterative methods for solving equations; interpolation; numerical differentiation and integration; and difference equations. Emphasis on methods of high speed computing. Prerequisites: CSCI 2243 and MATH 3243. 3 hours

## SENIOR RECITAL PROJECT

Instruction in piano, voice, guitar, woodwind, brass, percussion or composition, ending with recital. 2 hours.