C16 - Math 2343 Calculus IV Outcome Statements Note Starred...

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Math 2343 - Calculus IV Outcome Statements Note: Starred outcomes, while important to understand, will not be included on exams. 16.1 Vector Fields A. Understand terminology and notation of vector fields. Sketch a vector field. B. Verify that a function is a potential function of a gradient field. C. Find the divergence and curl of a vector field. D. Use del operator notation. E. Derive formula using divergence, curl, gradient and Laplacian. Homework Assignment: 1, 2, 7, 11, 13, 15, 17, 19, 21, 27, 28, 29, 33, 37 Outcome mapping: A. 1-10 B. 11, 12 C. 13-18 D. 19-26 E. 27-42 16.2 Line Integrals A. Evaluate line integrals of f with respect to arc length along parametrized curve C in 2-space or 3-space. Interpret as area and mass of wire. B. Evaluate line integrals of f with respect to x , y and z along parametrized curve C in 2-space or 3-space. C. Evaluate line integrals along piece-wise smooth curves C . D. Interpret work done by force field ~ F when moving a particle along curve C as a line integral.
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