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by: Eunice Schoen


Eunice Schoen
GPA 3.61

Charles Pruett

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About this Document

Charles Pruett
Study Guide
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This 1 page Study Guide was uploaded by Eunice Schoen on Saturday September 26, 2015. The Study Guide belongs to MATH 237 at James Madison University taught by Charles Pruett in Fall. Since its upload, it has received 66 views. For similar materials see /class/214023/math-237-james-madison-university in Mathematics (M) at James Madison University.


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Date Created: 09/26/15
Math 237 Calculus IIIFall 2006Pruett FINAL EXAM STUDY GUIDE General Hints H F 9 4 U 03 Unlike the 3 hour tests the nal exam will gt not involve a mixture of types of questions TF proof theory applications etc but will consist almost exclusively of problems similar to routine77 HW problems You may use an 8577 by 1177 review sheet ONE SIDE ONLY to be turned in with your test In the interest of time I will ask you nothing about the Lagrange method or about approxi mating the double integral by double partitions Darboux7 method I will ask you ewplz39cz39tly nothing about graphing surfaces in 3D except that you must be pro cient in this in order to evaluate certain double andor triple integrals Several of the questions will be assessment questions for the Department These will be indistinguishable from the others The extra credit problem will involve computing and interpreting Jacobians TopicsChapters Covered Chapter 9 Parametric Curves in R2 1 2 3 Parametric curves in the plane 96 Polar curves as parametric curves 9496 Tangent lines to curves de ned parametrically and polar curves 97 Chapter 12 Vectors in R3 9590 Vector basics direction norm distance parallel vectors 121 123 Dot product how to compute geometric interp orthogonality 124 Cross product geometric interp how to compute 125 Parameterized lines in R3 126 planes in R3 127 Applications of the dot and cross products normals to planes projections orthogonality equation of a plane given 3 points Chapter 13 VectorValued Functions 1 2 Vector valued functions de ned 131 Derivatives of VVFs 132


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