Engineering MathSpring 2009Exam 3 OutlineChapter 10. Vector Integral Calculus. Integral TheoremsA. Line Integrals (10.1)B. Path Independence of Line Integrals (10.2)1. Path Independence when Integration around Closed Curves Always Equals Zero2. Path Independence when F is Conservativep3. Path Independence when F • r is Exactp.p4. Path Independence when curl F ÐÑœ!pp5. Evaluation of Line Integrals (using given Path Independence0ÐFÑ 0ÐEÑÑC. Calculus Review: Double Integrals (10.3)1. Rectangular Coordinates2. Polar CoordinatesD. Green's Theorem in the Plane (10.4)E. Parametrizing Surfaces (10.5)1. Cylinders2. Disks3. Cones4. Spheres5. PlanesF. Normal Vector for a Parametrized Surface (10.5)G. Surface Integrals (10.6)H. Orientation of Surfaces (10.6)I. Triple Integrals (10.7)1. Rectangular Coordinates2. Cylindrical Coordinates
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This note was uploaded on 01/28/2010 for the course ESE 317 taught by Professor Hastings during the Fall '08 term at Washington University in St. Louis.