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Test 2 Review
This test covers VC.05VC.09 and 2.05.DoubleIntegrals in the reference lessons.
The concepts from these sections that you should know:
2.05
*find the volume of a 3D object using a double integral
*calculate a double integral inside the bounds of some functions
*GaussGreen formula
VC.05
*Calculate flow along a curve
*Calculate flow across a curve
*Calculate a path integral
*Know that an integrand symbol with a circle on it means counterclockwise path integral
*Find an appropriate parameterization of curves to get the correct direction
*Use how being a gradient field affects a path integral
*Perform the gradient test and interpret results
*Find the function if given its gradient
*Using Gauss & Green in combination with path integral to solve
VC.06
*Sources
*Drains
*Clockwise/ Counterclockwise swirl
*divField
*rotField
*singularities and their affect on flow
*Handling regions that are between outer curve and inside curve
*Laplacian of a function in 2D (what it is, how to calculate it, and how to use it)
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This note was uploaded on 01/07/2011 for the course MATH B8 taught by Professor Appuhn during the Spring '10 term at University of Illinois at Urbana–Champaign.
 Spring '10
 Appuhn

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