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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
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