PENN STATE UNIVERSITY
ABINGTON COLLEGE
MATHEMATICS DEPARTMENT

MATH 232

Catalog Description: INTEGRAL VECTOR CALCULUS (2) Multidimensional analytic geometry; double and triple integrals; potential fields; flux; Green's divergence and Stoke's theorem. (Students who have passed Math 230 may not schedule this course).

Prerequisite: Math 231

Text: Calculus, third edition, by Stewart; Brooks/Cole

TOPICS
CHAPTER 13 MULTIPLE INTEGRALS
13.1  Double Integrals over Rectangles
13.2  Iterated Integrals
13.3  Double Integrals over General Regions
13.4  Double Integrals in Polar Coordinates
13.5  Applications of Double Integrals
13.6  Surface Area
13.7  Triple Integrals
13.8  Triple Integrals in Cylindrical and Spherical Coordinates
13.9  Change of Variables in Multiple Integrals

CHAPTER 14 VECTOR FIELDS 
14.1  Vector Fields
14.2  Line Integrals
14.3  The Fundamental Theorem of Line Integrals
14.4  Green's Theorem
14.5  Curl and Divergence
14.6  Parametric Surfaces and their Area (OPTIONAL)
14.7  Surface Integrals
14.8  Stokes' Theorem
14.9  The Divergence Theorem
14.10 Summary
The Mathematics Department requires that the instructor must adhere to the syllabus