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exam 3 fall 2010 outline - Engineering Math Fall 2010 Exam...

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Engineering Math Fall 2010 Exam 3 Outline Chapter 10. Vector Integral Calculus. Integral Theorems A. Line Integrals (10.1) B. Path Independence of Line Integrals (10.2) 1. Path Independence when Integration around Closed Curves Always Equals Zero 2. Path Independence when F is Conservative p 3. Path Independence when F • r is Exact p . p 4. Path Independence when curl F ÐÑœ ! pp 5. Evaluation of Line Integrals given Path Independence (using 0ÐFÑ  0ÐEÑÑ C. Double Integrals (10.3) D. Green's Theorem in the Plane (10.4) E. Parametrizing Surfaces (10.5) 1. Cylinders 2. Disks 3. Cones 4. Spheres 5. Planes F. Normal Vector for a Parametrized Surface (10.5) G. Orientation of Surfaces (10.5) H. Surface Integrals (10.6) I. Triple Integrals (10.7) J. Divergence Theorem of Gauss
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