MATH 232
COURSE DESCRIPTION: Integral Vector Calculus (2:2:0) Multidimentional
analytic geometry; double and triple integrals; potential fields;
Green's divergence and Stokes' theorems. Students who have passed
MATH 230 may not schedule this course.
PREREQUISITE: MATH 231.
TOPICS
MULTIPLE INTEGRALS
Double Integrals over Rectangles
Iterated Integrals
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Surface Area
Triple Integrals
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables in Multiple Integrals
VECTOR CALCULUS
Vector Fields
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Parametric Surfaces and Their Areas
Surface Integrals
Stokes' Theorem