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Vector Calculus

by: Edgar Jacobi

Vector Calculus MATH 223

Marketplace > Kansas > Mathematics (M) > MATH 223 > Vector Calculus
Edgar Jacobi
GPA 3.6

Jeremy Martin

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Jeremy Martin
Class Notes
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This 1 page Class Notes was uploaded by Edgar Jacobi on Monday September 7, 2015. The Class Notes belongs to MATH 223 at Kansas taught by Jeremy Martin in Fall. Since its upload, it has received 34 views. For similar materials see /class/182370/math-223-kansas in Mathematics (M) at Kansas.


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Date Created: 09/07/15
Math 223 Spring 2007 Review Information for Test 1 l The test will be in class on Thursday 3107 Tuesday s class will consist of a review session 2 Bring a supply of looseleaf paper to the test 3 You are responsible for all of Chapters 1 and 2 of the textbook except the following topics Symmetric form of the equation of a line in R3 eqn 7 p 12 Torque and rotation of a rigid body pp 33734 Standard bases for cylindrical and spherical coordinates pp 69771 Classi cation of quadric surfaces pp 89791 That is you don t have to know what hyperboloid of one sheet hyperbolic paraboloid etc mean Newton s method pp 1307137 0 Implicit and Inverse Function Theorems pp 1627167 The test will focus on topics from Chapter 2 4 The following formulas will be provided to you on the test Not all of them may actually be used on the test But if you are working on review problems and you need a formula that is not on the list below then that means that you need to know it CauchySchwarz inequality For all vectors a b E Rquot la39bl S llallllbll Triangle inequality For all vectors a b E Rquot H3 bl S Hall llbll Volume of a parallelpiped with sides a b c lagtltbcl Conversion between rectangular and spherical coordinates xpsin gtcosf9 p2x2y222 yPSin Sin9 tan x2y2z 29COS f tanf9yx Product and Quotient Rules If f Rquot A R and g Rquot A R are functions that are differentiable at a E R then fg and provided 9a y 0 fg are differentiable at a and Df9a 9aDfa faD9a Dfga 9aDfa 7 faD9a 9a2 Chain Rule If g Rquot A R and f R A RIC are functions 9 is differentiable at a E R and f is differentiable at 9a E R then Dfoga Df9al 1393


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