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Video Recordings Video Recordings 1

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Chapter 2

Chapter 2 Chapter 2

Context Module Sub Header

Chapter Readings 1

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2 Introduction 2 Introduction 2

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2.1 Vectors in the Plane 2.1 Vectors in the Plane 3

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2.2 Vectors in Three Dimensions 2.2 Vectors in Three Dimensions 4

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2.3 The Dot Product 2.3 The Dot Product 5

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2.4 The Cross Product 2.4 The Cross Product 6

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2.5 Equations of Lines and Planes in Space 2.5 Equations of Lines and Planes in Space 7

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Chapter 4

Chapter 4 Chapter 4

Context Module Sub Header

Chapter Readings 1

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4 Introduction 4 Introduction 2

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4.1 Functions of Several Variables 4.1 Functions of Several Variables 3

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4.2 Limits and Continuity 4.2 Limits and Continuity 4

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4.3 Partial Derivatives 4.3 Partial Derivatives 5

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4.4 Tangent Planes and Linear Approximations 4.4 Tangent Planes and Linear Approximations 6

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4.5 The Chain Rule 4.5 The Chain Rule 7

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4.6 Directional Derivatives and the Gradient 4.6 Directional Derivatives and the Gradient 8

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4.7 Maxima/Minima Problems 4.7 Maxima/Minima Problems 9

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4.8 Lagrange Multipliers 4.8 Lagrange Multipliers 10

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Chapter 5

Chapter 5 Chapter 5

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5.1 Double Integrals over Rectangular Regions 5.1 Double Integrals over Rectangular Regions 3

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5.2 Double Integrals over General Regions 5.2 Double Integrals over General Regions 4

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5.3 Double Integrals in Polar Coordinates 5.3 Double Integrals in Polar Coordinates 5

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5.4 Triple Integrals 5.4 Triple Integrals 6

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5.5 Triple Integrals in Cylindrical and Spherical Coordinates 5.5 Triple Integrals in Cylindrical and Spherical Coordinates 7

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5.6 Calculating Centers of Mass and Moments of Inertia 5.6 Calculating Centers of Mass and Moments of Inertia 8

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5.7 Change of Variables in Multiple Integrals 5.7 Change of Variables in Multiple Integrals 9

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Page

review second exam review second exam 11

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review second exam part b review second exam part b 12

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review second exam part c review second exam part c 13

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Chapter 6

Chapter 6 Chapter 6

Context Module Sub Header

Chapter Readings 1

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6.1 Vector Fields 6.1 Vector Fields 3

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6.2 Line Integrals 6.2 Line Integrals 4

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6.3 Conservative Vector Fields 6.3 Conservative Vector Fields 5

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6.4 Green’s Theorem 6.4 Green’s Theorem 6

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6.5 Divergence and Curl 6.5 Divergence and Curl 7

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6.6 Surface Integrals 6.6 Surface Integrals 8

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6.7 Stokes’ Theorem 6.7 Stokes’ Theorem 9

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6.8 The Divergence Theorem 6.8 The Divergence Theorem 10

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