7/7/13 Educator - Multivariable Calculus with Raffi Hovasapian

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Educator - Multivariable Calculus with Raffi HovasapianEnglish | VP6/VP6F 320x240/660x600 12 fps | AAC 48 Kbps 22.05 Khz |

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Professor Raffi Hovasapian helps students develop their MultivariableCalculus intuition with in-depth explanations of concepts before reinforcingan understanding of the material through varied examples. This course isappropriate for those who have completed single-variable calculus. Topicscovered include everything from Vectors to Partial Derivatives, LagrangeMultipliers, Line Integrals, Triple Integrals, and Stokes' Theorem. ProfessorHovasapian has degrees in Mathematics, Chemistry, and Classics and over10 years of teaching experience.

Table of Contents

I. VectorsPoints & Vectors 28:23

7/7/13 Educator - Multivariable Calculus with Raffi Hovasapian

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Scalar Product & Norm 30:25

More on Vectors & Norms 38:18Inequalities & Parametric Lines 33:19Planes 29:59More on Planes 34:18

II. Differentiation of VectorsMaps, Curves & Parameterizations 29:48Differentiation of Vectors 39:40

III. Functions of Several VariablesFunctions of Several Variable 29:31Partial Derivatives 23:31Higher and Mixed Partial Derivatives 30:48

IV. Chain Rule and The GradientThe Chain Rule 28:03Tangent Plane 42:25Further Examples with Gradients & Tangents 47:11Directional Derivative 41:22A Unified View of Derivatives for Mappings 39:41

V. Maxima and MinimaMaxima & Minima 36:41Further Examples with Extrema 32:48Lagrange Multipliers 32:32More Lagrange Multiplier Examples 27:42Lagrange Multipliers, Continued 31:47

VI. Line Integrals and Potential FunctionsLine Integrals 36:08More on Line Integrals 28:04Line Integrals, Part 3 29:30Potential Functions 40:19Potential Functions, Continued 31:45Potential Functions, Conclusion & Summary 28:22

VII. Double IntegralsDouble Integrals 29:46Polar Coordinates 36:17Green's Theorem 38:01Divergence & Curl of a Vector Field 37:16Divergence & Curl, Continued 33:07Final Comments on Divergence & Curl 16:49

VIII. Triple IntegralsTriple Integrals 27:24Cylindrical & Spherical Coordinates 35:33

IX. Surface Integrals and Stokes' TheoremParameterizing Surfaces & Cross Product 41:29Tangent Plane & Normal Vector to a Surface 37:06Surface Area 32:48Surface Integrals 46:52Divergence & Curl in 3-Space 23:40Divergence Theorem in 3-Space 34:12Stokes' Theorem, Part 1 22:01Stokes' Theorem, Part 2 20:32

7/7/13 Educator - Multivariable Calculus with Raffi Hovasapian

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