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# Video course of Multivariable Calculus of Berkeley University

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 Topic Homework 1 Introduction 10.1: 1,3,11,15,17 2 Parametric curves 10.1: 21,22,28,31 10.2: 3,5,7 3 Tangents and Area 10.2: 11,13,21,29,31 4 Arc length and surface area 10.3: 1,3,5,9,15,21,24,25 5 More on polar coordinates 10.4: 39,42,48,49,55 10.5: 1,5,17,31,33,51,59 6 Vectors 12.1: 15,19,22, 12.2: 21,25,26,40,44 12.3: 23,27,31,49,56,57 7 Lines and planes 12.4: 3,7,34,40,46 12.5: 1,5,17,18,35,56,65 8 Quadric surfaces 12.6: 3,9,14,19,21-28,45 9 Cylindrical and spherical coordinates 12.7: 37,38,45,53,56,57,68 10 Space curves 13.1: 5,9,13,19-24,42 11 Functions of several variables 14.1: 21,24,29,30,35,43,53-58, 14.2: 1,3,18,27 12 Partial Derivatives 14.3: 11,13,29,33,51,55,66,72 13 Tangent planes and diﬀerentials 14.4: 1,5,9,11,19,31,41 14 Chain rule 14.5: 1,3,5,7,11,19,25,35,53 15 More on chain rule, implicit diﬀerentiation 14.5: 27,29,31,39,54 16 The gradient 14.6: 3,5,7,13,19,21–26,37,52 17 Midterm #1 covers Lectures 1-15 18 Maxima and minima 14.7: 1,3,5,8,10,29,31,33,41,53 19 Lagrange multipliers 14.8: 1,3,5,16,21,29,31,43 20 Double integrals 15.1: 1,5,11,17 21 Iterated integrals 15.2: 5,7,12,15,18,21,29 22 More on double integrals 15.3: 1,3,5,11,14,18,25,27,57 23 Applications 15.4: 1,3,5,6,7,8,9,11,13,21,36 15.5: 1,3,9 24 Surface area 15.5: 13,21 15.6: 1,2,4,7,10,21 25 Triple Integrals 15.7: 3,5,7,11,13,19,31,37 26 Integrals in cylindrical and spherical coordinates 15.8: 1,3,5,7,11,16,21,24,29 27 Change of variables, Jacobians 15.8: 29,33,38 15.9: 1,9,13,15 28 More on change of variables 15.9: 11,17,19,23 29 Vector ﬁelds 16.1: 5,11-14,15-18,21,22 30 Line integrals 16.2: 1,3,5,9,11,16,17,21,22,23 31

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Tags: integrals, Theorem, variables, coordinates, Review, planes, curves, 151922, 2125264044, Vectors, 151731335159, 3942484955, Video, needed, Reupload, course, Multivariable