c W.C Carter Lecture 14 MITFall 2007

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Date: 2009-06-08 11:31:32 Mathematical analysis Vector field Scalar potential Multiple integral Closed and exact differential forms Curl Conservative vector field Gradient Calculus Vector calculus Mathematics		c W.C Carter Lecture 14 MITFall 2007 Add to Reading List Source URL: pruffle.mit.edu Download Document from Source Website File Size: 446,78 KB Share Document on Facebook

	Classroom Voting Questions: Multivariable Calculus 18.4 Path-Dependent Vector Fields and Green’s Theorem 1. What will guarantee that F~ (x, y) = yˆi + g(x, y)ˆj is not a gradient vector field? (a) g(x, y) is a functi DocID: 1v8ZZ - View Document
	Classroom Voting Questions: Multivariable Calculus 19.2 Flux Integrals For Graphs, Cylinders, and Spheres 1. The flux of the vector field F~ = 4ˆ ρ through a sphere of radius 2 centered on the origin is: DocID: 1uXlX - View Document
	Classroom Voting Questions: Multivariable Calculus 20.1 The Divergence of a Vector Field 1. Moving from the picture on the left to the picture on the right, what are the signs of ∇ · F~ ? DocID: 1uLvn - View Document
	Classroom Voting Questions: Multivariable Calculus 18.3 Gradient Fields and Path-Independent Fields 1. The vector field shown is the gradient vector field of f (x, y). Which of the following are equal to f (1, 1)? DocID: 1uEgR - View Document
	Classroom Voting Questions: Multivariable Calculus 20.2 The Divergence Theorem 1. Given a small cube resting on the xy plane with corners at (0, 0, 0), (a, 0, 0), (a, a, 0), and (0, a, 0), which vector field will produce DocID: 1uEeY - View Document