# December 2009

## MATHEMATICS WORKSHOP

Related topics and problems in mathematics. 1-6 hours (may be repeated for total of 9 hours with change in title and content).

## FOUNDATIONS OF MATHEMATICS

Study of logic structure in mathematics, mathematical language and proof, set theory, relations and functions, and number system. Prerequisite: MATH 2223. 3 hours

## MATHEMATICS TUTORIAL

Independent study in mathematics under faculty supervision. 1-4 hours (may be repeated for total of 9 hours with change in title and content).

## CALCULUS & ANALYTIC GEOMETRY IV

Topics covered include vector calculus, multivariable functions and their derivatives; extreme values; Lagrange multipliers; multiple integrals; integration in vector fields. Prerequisite: MATH 2243. 3 hours

## MANAGEMENT WORKSHOP

Guided study in management under faculty supervision; various topics and methods of instruction. 1-4 hours (may be repeated for total of 6 hours with change in title and topic).

## 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