CALCULUS AND ANALYTIC GEOMETRY 2

MATH 621

Integration in Euclidean spaces, change of variables, multilinear algebra, vector fields and differential forms, manifolds and tangent spaces, integration on manifolds, Stokes theorem. Classical vector analysis. Cauchy integral theorem.

MATH 221

Introduction to differential and integral calculus and plane analytic geometry; applications; transcendental functions.

MATH 561

Theory of curves and surfaces by differential methods.

MATH 228

Topics in algebra, trigonometry, differential, integral and multi-variable calculus and analytic geometry will be covered depending on which calculus courseMATH 228is attached to.MATH 228must be taken in conjunction with the appropriate WES section ofMATH 171,217,221,222, or234.

MATH 213

First order differential equations, introduction to multivariable calculus and constrained optimization, infinite sequences and series, methods of approximation, and a brief introduction to probability. Models and applications from business and the social sciences.