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Welcome to Calculus 2 Welcome to Calculus 2 1

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Welcome to Calculus 2 (Alternative Front Page) Welcome to Calculus 2 (Alternative Front Page) 2

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Chapter 1

Chapter 1 Chapter 1

Context Module Sub Header

Chapter Readings 1

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1 Introduction 1 Introduction 2

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1.1 Approximating Areas 1.1 Approximating Areas 3

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1.2 The Definite Integral 1.2 The Definite Integral 4

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1.3 The Fundamental Theorem of Calculus 1.3 The Fundamental Theorem of Calculus 5

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1.4 Integration Formulas and the Net Change Theorem 1.4 Integration Formulas and the Net Change Theorem 6

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1.5 Substitution 1.5 Substitution 7

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1.6 Integrals Involving Exponential and Logarithmic Functions 1.6 Integrals Involving Exponential and Logarithmic Functions 8

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1.7 Integrals Resulting in Inverse Trigonometric Functions 1.7 Integrals Resulting in Inverse Trigonometric Functions 9

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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 Areas between Curves 2.1 Areas between Curves 3

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2.2 Determining Volumes by Slicing 2.2 Determining Volumes by Slicing 4

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2.3 Volumes of Revolution: Cylindrical Shells 2.3 Volumes of Revolution: Cylindrical Shells 5

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2.4 Arc Length of a Curve and Surface Area 2.4 Arc Length of a Curve and Surface Area 6

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2.5 Physical Applications 2.5 Physical Applications 7

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2.6 Moments and Centers of Mass 2.6 Moments and Centers of Mass 8

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2.7 Integrals, Exponential Functions, and Logarithms 2.7 Integrals, Exponential Functions, and Logarithms 9

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2.8 Exponential Growth and Decay 2.8 Exponential Growth and Decay 10

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2.9 Calculus of the Hyperbolic Functions 2.9 Calculus of the Hyperbolic Functions 11

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Chapter 3

Chapter 3 Chapter 3

Context Module Sub Header

Chapter Readings 1

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3 Introduction 3 Introduction 2

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3.1 Integration by Parts 3.1 Integration by Parts 3

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3.2 Trigonometric Integrals 3.2 Trigonometric Integrals 4

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3.3 Trigonometric Substitution 3.3 Trigonometric Substitution 5

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3.4 Partial Fractions 3.4 Partial Fractions 6

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3.5 Other Strategies for Integration 3.5 Other Strategies for Integration 7

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3.6 Numerical Integration 3.6 Numerical Integration 8

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3.7 Improper Integrals 3.7 Improper Integrals 9

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Chapter 4

Chapter 4 Chapter 4

Context Module Sub Header

Chapter Readings 1

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External Url

4 Introduction 4 Introduction 2

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External Url

4.1 Basics of Differential Equations 4.1 Basics of Differential Equations 3

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4.2 Direction Fields and Numerical Methods 4.2 Direction Fields and Numerical Methods 4

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4.3 Separable Equations 4.3 Separable Equations 5

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4.4 The Logistic Equation 4.4 The Logistic Equation 6

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4.5 First-order Linear Equations 4.5 First-order Linear Equations 7

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Chapter 5

Chapter 5 Chapter 5

Context Module Sub Header

Chapter Readings 1

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5 Introduction 5 Introduction 2

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5.1 Sequences 5.1 Sequences 3

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5.2 Infinite Series 5.2 Infinite Series 4

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5.3 The Divergence and Integral Tests 5.3 The Divergence and Integral Tests 5

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5.4 Comparison Tests 5.4 Comparison Tests 6

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5.5 Alternating Series 5.5 Alternating Series 7

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5.6 Ratio and Root Tests 5.6 Ratio and Root Tests 8

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Chapter 6

Chapter 6 Chapter 6

Context Module Sub Header

Chapter Readings 1

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6 Introduction 6 Introduction 2

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6.1 Power Series and Functions 6.1 Power Series and Functions 3

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6.2 Properties of Power Series 6.2 Properties of Power Series 4

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6.3 Taylor and Maclaurin Series 6.3 Taylor and Maclaurin Series 5

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6.4 Working with Taylor Series 6.4 Working with Taylor Series 6

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Chapter 7

Chapter 7 Chapter 7

Context Module Sub Header

Chapter Readings 1

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7 Introduction 7 Introduction 2

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7.1 Parametric Equations 7.1 Parametric Equations 3

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7.2 Calculus of Parametric Curves 7.2 Calculus of Parametric Curves 4

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7.3 Polar Coordinates 7.3 Polar Coordinates 5

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7.4 Area and Arc Length in Polar Coordinates 7.4 Area and Arc Length in Polar Coordinates 6

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7.5 Conic Sections 7.5 Conic Sections 7

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Table of Integrals Table of Integrals 8

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Table of Derivatives Table of Derivatives 9

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Review of Pre-Calculus Review of Pre-Calculus 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