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Landing Page Landing Page

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Welcome to Calculus 3 Welcome to Calculus 3 1

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Getting Started with Canvas Getting Started with Canvas 2

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Canvas Quick Links Canvas Quick Links 3

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Chapter 2 Vectors

Chapter 2 Vectors Chapter 2 Vectors

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Chapter 2 Videos Chapter 2 Videos 1

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External Url

2 Introduction 2 Introduction 2

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External Url

2.1 Vectors in the Plane 2.1 Vectors in the Plane 3

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External Url

2.2 Vectors in Three Dimensions 2.2 Vectors in Three Dimensions 4

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External Url

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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External Url

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

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External Url

2.6 Quadric Surfaces 2.6 Quadric Surfaces 8

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External Url

2.7 Cylindrical and Spherical Coordinates 2.7 Cylindrical and Spherical Coordinates 9

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Assignment

Homework 2.1 Vectors in the Plane Homework 2.1 Vectors in the Plane 20 10

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Assignment

Homework 2.2 Vectors in Three Dimensions Homework 2.2 Vectors in Three Dimensions 14 11

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Assignment

Homework 2.3 Dot Product Homework 2.3 Dot Product 17 12

assignment 3655836 1

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Assignment

Homework 2.4 Cross Product Homework 2.4 Cross Product 13 13

assignment 3655838 1

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Assignment

Homework 2.5 Equations of Lines and Planes in Space Homework 2.5 Equations of Lines and Planes in Space 21 14

assignment 3655840 1

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Assignment

Homework 2.6 Quadric Surfaces Homework 2.6 Quadric Surfaces 21 15

assignment 3655842 1

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Assignment

Homework 2.7 Cylindrical and Spherical Coordinates Homework 2.7 Cylindrical and Spherical Coordinates 14 16

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Attachment

OpenStax Calc 3 Ch 2 Review pp 249-256.pdf OpenStax Calc 3 Ch 2 Review pp 249-256.pdf 17

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Chapter 3 Vector-Valued Functions

Chapter 3 Vector-Valued Functions Chapter 3 Vector-Valued Functions

Page

Chapter 3 Videos Chapter 3 Videos 1

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External Url

3 Introduction 3 Introduction 2

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External Url

3.1 Vector-Valued Functions and Space Curves 3.1 Vector-Valued Functions and Space Curves 3

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Assignment

Homework 3.1 Vector-Valued Functions and Space Curves Homework 3.1 Vector-Valued Functions and Space Curves 11 4

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External Url

3.2 Calculus of Vector-Valued Functions 3.2 Calculus of Vector-Valued Functions 5

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Assignment

Homework 3.2 Calculus of Vector-Valued Functions Homework 3.2 Calculus of Vector-Valued Functions 18 6

assignment 3655850 1

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External Url

3.3 Arc Length and Curvature 3.3 Arc Length and Curvature 7

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Assignment

Homework 3.3 Arc Length and Curvature Homework 3.3 Arc Length and Curvature 19 8

assignment 3655852 1

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External Url

3.4 Motion in Space 3.4 Motion in Space 9

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Assignment

Homework 3.4 Motion in Space Homework 3.4 Motion in Space 14 10

assignment 3655854 1

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Chapter 4 Differentiation of Functions of Several Variables

Chapter 4 Differentiation of Functions of Several Variables Chapter 4 Differentiation of Functions of Several Variables

Page

Chapter 4 Videos Chapter 4 Videos 1

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External Url

4 Introduction 4 Introduction 2

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External Url

4.1 Functions of Several Variables 4.1 Functions of Several Variables 3

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Assignment

Homework 4.1 Functions of Several Variables Homework 4.1 Functions of Several Variables 34 4

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External Url

4.2 Limits and Continuity 4.2 Limits and Continuity 5

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Assignment

Homework 4.2 Limits and Continuity Homework 4.2 Limits and Continuity 21 6

assignment 3655860 1

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External Url

4.3 Partial Derivatives 4.3 Partial Derivatives 7

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Assignment

Homework 4.3 Partial Derivatives Homework 4.3 Partial Derivatives 19 8

assignment 3655862 1

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External Url

4.4 Tangent Planes and Linear Approximations 4.4 Tangent Planes and Linear Approximations 9

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Assignment

Homework 4.4 Tangent Planes and Linear Approximations Homework 4.4 Tangent Planes and Linear Approximations 18 10

assignment 3655864 1

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External Url

4.5 The Chain Rule 4.5 The Chain Rule 11

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Assignment

Homework 4.5 Chain Rule Homework 4.5 Chain Rule 15 12

assignment 3655866 1

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External Url

4.6 Directional Derivatives and the Gradient 4.6 Directional Derivatives and the Gradient 13

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Assignment

Homework 4.6 Directional Derivatives and the Gradient Homework 4.6 Directional Derivatives and the Gradient 15 14

assignment 3655868 1

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External Url

4.7 Maxima/Minima Problems 4.7 Maxima/Minima Problems 15

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Assignment

Homework 4.7 Maxima/Minima Problems Homework 4.7 Maxima/Minima Problems 36 16

assignment 3655870 1

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External Url

4.8 Lagrange Multipliers 4.8 Lagrange Multipliers 17

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Assignment

Homework 4.8 Lagrange Multipliers Homework 4.8 Lagrange Multipliers 12 18

assignment 3655872 1

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Chapter 5 Double and Triple Integrals

Chapter 5 Double and Triple Integrals Chapter 5 Double and Triple Integrals

Page

Chapter 5 Videos Chapter 5 Videos 1

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External Url

5 Introduction 5 Introduction 2

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External Url

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

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Assignment

Homework 5.1 Double Integrals over Rectangular Regions Homework 5.1 Double Integrals over Rectangular Regions 32 4

assignment 3655876 1

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External Url

5.2 Double Integrals over General Regions 5.2 Double Integrals over General Regions 5

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Assignment

Homework 5.2 Double Integrals over General Regions Homework 5.2 Double Integrals over General Regions 15 6

assignment 3655878 1

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External Url

5.3 Double Integrals in Polar Coordinates 5.3 Double Integrals in Polar Coordinates 7

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Assignment

Homework 5.3 Double Integrals in Polar Coordinates Homework 5.3 Double Integrals in Polar Coordinates 23 8

assignment 3655880 1

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External Url

5.4 Triple Integrals 5.4 Triple Integrals 9

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Homework 5.4 Triple Integrals Homework 5.4 Triple Integrals 18 10

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5.5 Triple Integrals in Cylindrical and Spherical Coordinates 5.5 Triple Integrals in Cylindrical and Spherical Coordinates 11

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Homework 5.5 Triple Integrals in Cylindrical and Spherical Coordinates Homework 5.5 Triple Integrals in Cylindrical and Spherical Coordinates 9 12

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5.6 Calculating Centers of Mass and Moments of Inertia 5.6 Calculating Centers of Mass and Moments of Inertia 13

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Homework 5.6 Calculating Centers of Mass and Moments of Inertia Homework 5.6 Calculating Centers of Mass and Moments of Inertia 9 14

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5.7 Change of Variables in Multiple Integrals 5.7 Change of Variables in Multiple Integrals 15

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Homework 5.7 Change of Variables in Multiple Integrations Homework 5.7 Change of Variables in Multiple Integrations 12 16

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Chapter 6 Vector Calculus

Chapter 6 Vector Calculus Chapter 6 Vector Calculus

Page

Chapter 6 Videos Chapter 6 Videos 1

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6 Introduction 6 Introduction 2

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6.1 Vector Fields 6.1 Vector Fields 3

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Homework 6.1 Vector Fields Homework 6.1 Vector Fields 15 4

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6.2 Line Integrals 6.2 Line Integrals 5

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Homework 6.2 Line Integrals Homework 6.2 Line Integrals 19 6

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6.3 Conservative Vector Fields 6.3 Conservative Vector Fields 7

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Homework 6.3 Conservative Vector Fields Homework 6.3 Conservative Vector Fields 9 8

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6.4 Green’s Theorem 6.4 Green’s Theorem 9

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Homework 6.4 Green's Theorem Homework 6.4 Green's Theorem 11 10

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6.5 Divergence and Curl 6.5 Divergence and Curl 11

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Homework 6.5 Divergence and Curl Homework 6.5 Divergence and Curl 11 12

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6.6 Surface Integrals 6.6 Surface Integrals 13

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Homework 6.6 Surface Integrals Homework 6.6 Surface Integrals 13 14

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External Url

6.7 Stokes’ Theorem 6.7 Stokes’ Theorem 15

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Assignment

Homework 6.7 Stokes' Theorem Homework 6.7 Stokes' Theorem 9 16

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External Url

6.8 The Divergence Theorem 6.8 The Divergence Theorem 17

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Homework 6.8 The Divergence Theorem Homework 6.8 The Divergence Theorem 16 18

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