exam 3 outline - Engineering Math Spring 2009 Exam 3...

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Engineering Math Spring 2009 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 (using given Path Independence 0ÐFÑ  0ÐEÑÑ C. Calculus Review: Double Integrals (10.3) 1. Rectangular Coordinates 2. Polar Coordinates 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. Surface Integrals (10.6) H. Orientation of Surfaces (10.6) I. Triple Integrals (10.7) 1. Rectangular Coordinates 2. Cylindrical Coordinates
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