Course Modules

Landing Page

Landing Page Landing Page

Welcome to Calculus 3 Page

Welcome to Calculus 3 Welcome to Calculus 3 1

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Getting Started (SAMPLE)

Getting Started (SAMPLE) Getting Started (SAMPLE)

Context Module Sub Header

Welcome! 1

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About Your Instructor Page

About Your Instructor About Your Instructor 2

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Being Successful in this Course Page

Being Successful in this Course Being Successful in this Course 3

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Update Your Canvas Profile Assignment

Update Your Canvas Profile Update Your Canvas Profile 0 4

assignment 13160 1

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Context Module Sub Header

Textbook 5

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Textbook & Additional Resources Page

Textbook & Additional Resources Textbook & Additional Resources 6

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Context Module Sub Header

Student Support & Resources 7

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Using the Canvas LMS Page

Using the Canvas LMS Using the Canvas LMS 8

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Student Support Services Page

Student Support Services Student Support Services 9

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Online Learning Resources Page

Online Learning Resources Online Learning Resources 10

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Tech Services & Computer Resources Page

Tech Services & Computer Resources Tech Services & Computer Resources 11

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Resources

Resources Resources

CalculusVolume3-ReleaseNotes.pdf Attachment

CalculusVolume3-ReleaseNotes.pdf CalculusVolume3-ReleaseNotes.pdf 1

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CalculusVolume3-OP_mktoy8b.pdf Attachment

CalculusVolume3-OP_mktoy8b.pdf CalculusVolume3-OP_mktoy8b.pdf 2

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CalculusVolume2-OP.pdf Attachment

CalculusVolume2-OP.pdf CalculusVolume2-OP.pdf 3

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Chapter 1

Chapter 1 Chapter 1

Context Module Sub Header

Presentations 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Presentation 1 Attachment

Presentation 1 Presentation 1 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Chapter Readings 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
1 Introduction External Url

1 Introduction 1 Introduction 4

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1.1 Parametric Equations External Url

1.1 Parametric Equations 1.1 Parametric Equations 5

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1.2 Calculus of Parametric Curves External Url

1.2 Calculus of Parametric Curves 1.2 Calculus of Parametric Curves 6

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1.3 Polar Coordinates External Url

1.3 Polar Coordinates 1.3 Polar Coordinates 7

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1.4 Area and Arc Length in Polar Coordinates External Url

1.4 Area and Arc Length in Polar Coordinates 1.4 Area and Arc Length in Polar Coordinates 8

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1.5 Conic Sections External Url

1.5 Conic Sections 1.5 Conic Sections 9

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Context Module Sub Header

Solutions 10

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Chapter 2

Chapter 2 Chapter 2

Context Module Sub Header

Presentations 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Presentation 2 Attachment

Presentation 2 Presentation 2 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Chapter Readings 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
2 Introduction External Url

2 Introduction 2 Introduction 4

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
2.1 Vectors in the Plane External Url

2.1 Vectors in the Plane 2.1 Vectors in the Plane 5

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2.2 Vectors in Three Dimensions External Url

2.2 Vectors in Three Dimensions 2.2 Vectors in Three Dimensions 6

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2.3 The Dot Product External Url

2.3 The Dot Product 2.3 The Dot Product 7

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2.4 The Cross Product External Url

2.4 The Cross Product 2.4 The Cross Product 8

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2.5 Equations of Lines and Planes in Space External Url

2.5 Equations of Lines and Planes in Space 2.5 Equations of Lines and Planes in Space 9

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
2.6 Quadric Surfaces External Url

2.6 Quadric Surfaces 2.6 Quadric Surfaces 10

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2.7 Cylindrical and Spherical Coordinates External Url

2.7 Cylindrical and Spherical Coordinates 2.7 Cylindrical and Spherical Coordinates 11

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Solutions 12

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CalculusVolume3-IASG-02-01.docx Attachment

CalculusVolume3-IASG-02-01.docx CalculusVolume3-IASG-02-01.docx 13

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
CalculusVolume3-IASG-02-02.docx Attachment

CalculusVolume3-IASG-02-02.docx CalculusVolume3-IASG-02-02.docx 14

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
CalculusVolume3-IASG-02-03.docx Attachment

CalculusVolume3-IASG-02-03.docx CalculusVolume3-IASG-02-03.docx 15

attachment 13257 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
CalculusVolume3-IASG-02-04.docx Attachment

CalculusVolume3-IASG-02-04.docx CalculusVolume3-IASG-02-04.docx 16

attachment 13253 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
CalculusVolume3-IASG-02-05.docx Attachment

CalculusVolume3-IASG-02-05.docx CalculusVolume3-IASG-02-05.docx 17

attachment 13254 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
CalculusVolume3-IASG-02-06.docx Attachment

CalculusVolume3-IASG-02-06.docx CalculusVolume3-IASG-02-06.docx 18

attachment 13256 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
CalculusVolume3-IASG-02-07.docx Attachment

CalculusVolume3-IASG-02-07.docx CalculusVolume3-IASG-02-07.docx 19

attachment 13255 0

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Chapter 3

Chapter 3 Chapter 3

Context Module Sub Header

Presentations 1

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Presentation 3 Attachment

Presentation 3 Presentation 3 2

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Context Module Sub Header

Chapter Readings 3

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3 Introduction External Url

3 Introduction 3 Introduction 4

external_url 13194 0

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
3.1 Vector-Valued Functions and Space Curves External Url

3.1 Vector-Valued Functions and Space Curves 3.1 Vector-Valued Functions and Space Curves 5

external_url 13195 0

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3.2 Calculus of Vector-Valued Functions External Url

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

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
3.3 Arc Length and Curvature External Url

3.3 Arc Length and Curvature 3.3 Arc Length and Curvature 7

external_url 13197 0

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3.4 Motion in Space External Url

3.4 Motion in Space 3.4 Motion in Space 8

external_url 13198 0

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Context Module Sub Header

Solutions 9

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Chapter 4

Chapter 4 Chapter 4

Context Module Sub Header

Presentations 1

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Presentation 4 Attachment

Presentation 4 Presentation 4 2

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Context Module Sub Header

Chapter Readings 3

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
4 Introduction External Url

4 Introduction 4 Introduction 4

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4.1 Functions of Several Variables External Url

4.1 Functions of Several Variables 4.1 Functions of Several Variables 5

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4.2 Limits and Continuity External Url

4.2 Limits and Continuity 4.2 Limits and Continuity 6

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4.3 Partial Derivatives External Url

4.3 Partial Derivatives 4.3 Partial Derivatives 7

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4.4 Tangent Planes and Linear Approximations External Url

4.4 Tangent Planes and Linear Approximations 4.4 Tangent Planes and Linear Approximations 8

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4.5 The Chain Rule External Url

4.5 The Chain Rule 4.5 The Chain Rule 9

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4.6 Directional Derivatives and the Gradient External Url

4.6 Directional Derivatives and the Gradient 4.6 Directional Derivatives and the Gradient 10

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4.7 Maxima/Minima Problems External Url

4.7 Maxima/Minima Problems 4.7 Maxima/Minima Problems 11

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4.8 Lagrange Multipliers External Url

4.8 Lagrange Multipliers 4.8 Lagrange Multipliers 12

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Context Module Sub Header

Solutions 13

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Chapter 5

Chapter 5 Chapter 5

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Presentations 1

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Presentation 5 Attachment

Presentation 5 Presentation 5 2

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Context Module Sub Header

Chapter Readings 3

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5 Introduction External Url

5 Introduction 5 Introduction 4

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5.1 Double Integrals over Rectangular Regions External Url

5.1 Double Integrals over Rectangular Regions 5.1 Double Integrals over Rectangular Regions 5

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5.2 Double Integrals over General Regions External Url

5.2 Double Integrals over General Regions 5.2 Double Integrals over General Regions 6

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5.3 Double Integrals in Polar Coordinates External Url

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

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5.4 Triple Integrals External Url

5.4 Triple Integrals 5.4 Triple Integrals 8

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5.5 Triple Integrals in Cylindrical and Spherical Coordinates External Url

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

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5.6 Calculating Centers of Mass and Moments of Inertia External Url

5.6 Calculating Centers of Mass and Moments of Inertia 5.6 Calculating Centers of Mass and Moments of Inertia 10

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5.7 Change of Variables in Multiple Integrals External Url

5.7 Change of Variables in Multiple Integrals 5.7 Change of Variables in Multiple Integrals 11

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Context Module Sub Header

Solutions 12

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Chapter 6

Chapter 6 Chapter 6

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Presentations 1

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Context Module Sub Header

Chapter Readings 2

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Presentation 6 Attachment

Presentation 6 Presentation 6 3

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6 Introduction External Url

6 Introduction 6 Introduction 4

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6.1 Vector Fields External Url

6.1 Vector Fields 6.1 Vector Fields 5

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6.2 Line Integrals External Url

6.2 Line Integrals 6.2 Line Integrals 6

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6.3 Conservative Vector Fields External Url

6.3 Conservative Vector Fields 6.3 Conservative Vector Fields 7

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6.4 Green’s Theorem External Url

6.4 Green’s Theorem 6.4 Green’s Theorem 8

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6.5 Divergence and Curl External Url

6.5 Divergence and Curl 6.5 Divergence and Curl 9

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6.6 Surface Integrals External Url

6.6 Surface Integrals 6.6 Surface Integrals 10

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6.7 Stokes’ Theorem External Url

6.7 Stokes’ Theorem 6.7 Stokes’ Theorem 11

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6.8 The Divergence Theorem External Url

6.8 The Divergence Theorem 6.8 The Divergence Theorem 12

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Context Module Sub Header

Solutions 13

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Chapter 7

Chapter 7 Chapter 7

Context Module Sub Header

Presentations 1

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Presentation 7 Attachment

Presentation 7 Presentation 7 2

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Context Module Sub Header

Chapter Readings 3

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7 Introduction External Url

7 Introduction 7 Introduction 4

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7.1 Second-Order Linear Equations External Url

7.1 Second-Order Linear Equations 7.1 Second-Order Linear Equations 5

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7.2 Nonhomogeneous Linear Equations External Url

7.2 Nonhomogeneous Linear Equations 7.2 Nonhomogeneous Linear Equations 6

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7.3 Applications External Url

7.3 Applications 7.3 Applications 7

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7.4 Series Solutions of Differential Equations External Url

7.4 Series Solutions of Differential Equations 7.4 Series Solutions of Differential Equations 8

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Table of Integrals External Url

Table of Integrals Table of Integrals 9

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Table of Derivatives External Url

Table of Derivatives Table of Derivatives 10

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Review of Pre-Calculus External Url

Review of Pre-Calculus Review of Pre-Calculus 11

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Context Module Sub Header

Solutions 12

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