Course Modules

Getting Started

Getting Started Getting Started

Complete All Items

Context Module Sub Header

Welcome! 1

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Page

Welcome to Calculus 1 Welcome to Calculus 1 2

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Page

About Your Instructor About Your Instructor 3

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Page

Being Successful in this Course Being Successful in this Course 4

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Assignment

Update Your Canvas Profile Update Your Canvas Profile 0 5

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Context Module Sub Header

Textbook 7

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Page

Textbook & Additional Resources Textbook & Additional Resources 8

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Context Module Sub Header

Student Support & Resources 9

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Page

Getting Started with Canvas Getting Started with Canvas 10

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Page

Canvas Quick Links Canvas Quick Links 11

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Page

Online Learning Resources Online Learning Resources 13

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Page

Tech Services & Computer Resources Tech Services & Computer Resources 14

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Quiz

Getting Started Quiz Getting Started Quiz 15

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Assignment

Practice submitting a multi-page pdf document Practice submitting a multi-page pdf document 3 16

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Discussion Topic

Introduce Yourself Introduce Yourself 2 17

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Quiz

Test - Requires Respondus LockDown Browser + Webcam Test - Requires Respondus LockDown Browser + Webcam 18

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Quiz

Lockdown browswer process - Requires Respondus LockDown Browser + Webcam Lockdown browswer process - Requires Respondus LockDown Browser + Webcam 19

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Chapter 1 (REVIEW)

Chapter 1 (REVIEW) Chapter 1 (REVIEW)

Prerequisites: Getting Started

Discussion Topic

Discussion: Chapter 1 – Functions and Models (1) Discussion: Chapter 1 – Functions and Models (1) 5 1

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Context Module Sub Header

Chapter Readings 2

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Context Module Sub Header

Chapter 1 Functions and Graphs 3

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Context Module Sub Header

1.1 Review of Functions 4

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Page

LEARNING OBJECTIVES 1.1 Review of Functions LEARNING OBJECTIVES 1.1 Review of Functions 5

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External Url

READ 1.1 A Review of Functions READ 1.1 A Review of Functions 6

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Page

VIEW 1.1 A Review of Functions VIEW 1.1 A Review of Functions 7

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Assignment

EXERCISES 1.1 Review Of Functions EXERCISES 1.1 Review Of Functions 31 8

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Context Module Sub Header

1.2 Basic Classes of Functions 9

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Page

LEARNING OBJECTIVES 1.2 Basic Classes of Functions LEARNING OBJECTIVES 1.2 Basic Classes of Functions 10

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External Url

READ 1.2 Basic Classes of Functions READ 1.2 Basic Classes of Functions 11

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Page

VIEW 1.2 Basic Classes of Functions VIEW 1.2 Basic Classes of Functions 12

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Context Module Sub Header

1.3 Trigonometric Functions 14

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Page

LEARNING OBJECTIVES 1.3 Trigonometric Functions LEARNING OBJECTIVES 1.3 Trigonometric Functions 15

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External Url

READ 1.3 Trigonometric Functions READ 1.3 Trigonometric Functions 16

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VIEW 1.3 Trigonometric Functions VIEW 1.3 Trigonometric Functions 17

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Context Module Sub Header

1.4 Inverse Functions 19

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Page

LEARNING OBJECTIVES 1.4 Inverse Functions LEARNING OBJECTIVES 1.4 Inverse Functions 20

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External Url

READ 1.4 Inverse Functions READ 1.4 Inverse Functions 21

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Page

VIEW 1.4 Inverse Functions VIEW 1.4 Inverse Functions 22

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Context Module Sub Header

1.5 Exponential and Logarithmic Functions 24

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Page

LEARNING OBJECTIVES 1.5 Exponential and Logarithmic Functions LEARNING OBJECTIVES 1.5 Exponential and Logarithmic Functions 25

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External Url

READ 1.5 Exponential and Logarithmic Functions READ 1.5 Exponential and Logarithmic Functions 26

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Page

VIEW 1.5 Exponential and Logarithmic Functions VIEW 1.5 Exponential and Logarithmic Functions 27

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Assignment

EXERCISES 1.5 Exponential and Logarithmic Functions EXERCISES 1.5 Exponential and Logarithmic Functions 24 28

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Chapter 2 LIMITS

Chapter 2 LIMITS Chapter 2 LIMITS

Prerequisites: Getting Started

Discussion Topic

Discussion: Ch 2 – Limits Discussion: Ch 2 – Limits 5 2

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Discussion Topic

Discussion Ch2: Limits in Real-World Contexts Discussion Ch2: Limits in Real-World Contexts 5 4

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Context Module Sub Header

Chapter Readings 5

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Context Module Sub Header

Chapter 2 Limits 6

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Context Module Sub Header

2.1 A Preview of Calculus 7

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External Url

2.1 A Preview of Calculus 2.1 A Preview of Calculus 8

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LEARNING OBJECTIVES 2.1 A Preview of Calculus LEARNING OBJECTIVES 2.1 A Preview of Calculus 9

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READ 2.1 A Preview of Calculus READ 2.1 A Preview of Calculus 10

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VIEW 2.1 A Preview of Calculus VIEW 2.1 A Preview of Calculus 11

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EXERCISES 2.1 A Preview of Calculus EXERCISES 2.1 A Preview of Calculus 30 12

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2.2 The Limit of a Function 13

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LEARNING OBJECTIVES 2.2 The Limit of a Function LEARNING OBJECTIVES 2.2 The Limit of a Function 14

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READ 2.2 The Limit of a Function READ 2.2 The Limit of a Function 15

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VIEW 2.2 The Limit of a Function VIEW 2.2 The Limit of a Function 16

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EXERCISES 2.2 The Limit of a Function EXERCISES 2.2 The Limit of a Function 36 17

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2.3 The Limit Laws 18

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LEARNING OBJECTIVES 2.3 The Limit Laws LEARNING OBJECTIVES 2.3 The Limit Laws 19

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READ 2.3 The Limit Laws READ 2.3 The Limit Laws 20

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VIEW 2.3 The Limit Laws VIEW 2.3 The Limit Laws 21

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Assignment

EXERCISES 2.3 The Limit Laws EXERCISES 2.3 The Limit Laws 48 22

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Quiz

Quiz: 2.1-2.3 Quiz: 2.1-2.3 10 23

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2.4 Continuity 24

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LEARNING OBJECTIVES 2.4 Continuity LEARNING OBJECTIVES 2.4 Continuity 25

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READ 2.4 Continuity READ 2.4 Continuity 26

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VIEW 2.4 Continuity VIEW 2.4 Continuity 27

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EXERCISES 2.4 Continuity EXERCISES 2.4 Continuity 39 28

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Chapter 3 THE DERIVATIVE

Chapter 3 THE DERIVATIVE Chapter 3 THE DERIVATIVE

Discussion Topic

Discussion: Ch 3 – Derivatives (1) Discussion: Ch 3 – Derivatives (1) 5 1

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Discussion Topic

Discussion Ch3 - Derivative (2) Discussion Ch3 - Derivative (2) 5 2

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Chapter Readings 3

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Chapter 3 The Derivative 4

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Context Module Sub Header

3.1 Defining the Derivative 5

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LEARNING OBJECTIVES 3.1 Defining the Derivative LEARNING OBJECTIVES 3.1 Defining the Derivative 6

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READ 3.1 Defining the Derivative READ 3.1 Defining the Derivative 7

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VIEW 3.1 Defining the Derivative VIEW 3.1 Defining the Derivative 8

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Assignment

EXERCISES 3.1 Defining the Derivative EXERCISES 3.1 Defining the Derivative 48 9

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Context Module Sub Header

3.2 The Derivative as a Function 10

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LEARNING OBJECTIVES 3.2 The Derivative as a Function LEARNING OBJECTIVES 3.2 The Derivative as a Function 11

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READ 3.2 The Derivative as a Function READ 3.2 The Derivative as a Function 12

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VIEW 3.2 The Derivative as a Function VIEW 3.2 The Derivative as a Function 13

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Assignment

EXERCISES 3.2 The Derivative as a Function EXERCISES 3.2 The Derivative as a Function 51 14

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Quiz

Quiz: Ch 2.4, 3.1 & 3.2 Quiz: Ch 2.4, 3.1 & 3.2 9 15

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Context Module Sub Header

3.3 Differentiation Rules 16

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LEARNING OBJECTIVES 3.3 Differentiation Rules LEARNING OBJECTIVES 3.3 Differentiation Rules 17

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External Url

READ 3.3 Differentiation Rules READ 3.3 Differentiation Rules 18

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VIEW 3.3 Differentiation Rules VIEW 3.3 Differentiation Rules 19

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Assignment

EXERCSIES 3.3 Differentiation Rules EXERCSIES 3.3 Differentiation Rules 60 20

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Context Module Sub Header

3.5 Derivatives of Trigonometric Functions 26

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LEARNING OBJECTIVES 3.5 Derivatives of Trigonometric Functions LEARNING OBJECTIVES 3.5 Derivatives of Trigonometric Functions 27

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READ 3.5 Derivatives of Trigonometric Functions READ 3.5 Derivatives of Trigonometric Functions 28

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VIEW 3.5 Derivatives of Trigonometric Functions VIEW 3.5 Derivatives of Trigonometric Functions 29

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EXERCISES 3.5 Derivatives of Trigonometric Functions EXERCISES 3.5 Derivatives of Trigonometric Functions 54 30

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Context Module Sub Header

3.6 The Chain Rule 31

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LEARNING OBJECTIVES 3.6 The Chain Rule LEARNING OBJECTIVES 3.6 The Chain Rule 32

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READ 3.6 The Chain Rule READ 3.6 The Chain Rule 33

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VIEW 3.6 The Chain Rule VIEW 3.6 The Chain Rule 34

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EXERCISES 3.6 The Chain Rule EXERCISES 3.6 The Chain Rule 87 35

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3.7 Derivatives of Inverse Functions 36

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LEARNING OBJECTIVES 3.7 Derivatives of Inverse Functions LEARNING OBJECTIVES 3.7 Derivatives of Inverse Functions 37

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READ 3.7 Derivatives of Inverse Functions READ 3.7 Derivatives of Inverse Functions 38

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VIEW 3.7 Derivatives of Inverse Functions VIEW 3.7 Derivatives of Inverse Functions 39

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EXERCISES 3.7 Derivatives of Inverse Functions EXERCISES 3.7 Derivatives of Inverse Functions 51 40

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Quiz

Quiz: 3.5, 3.6, 3.7 Quiz: 3.5, 3.6, 3.7 6 41

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3.8 Implicit Differentiation 42

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LEARNING OBJECTIVES 3.8 Implicit Differentiation LEARNING OBJECTIVES 3.8 Implicit Differentiation 43

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READ 3.8 Implicit Differentiation READ 3.8 Implicit Differentiation 44

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VIEW 3.8 Implicit Differentiation VIEW 3.8 Implicit Differentiation 45

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EXERCISES 3.8 Implicit Differentiation EXERCISES 3.8 Implicit Differentiation 42 46

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3.9 Derivatives of Exponential and Logarithmic Functions 47

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LEARNING OBJECTIVES 3.9 Derivatives of Exponential and Logarithmic Functions LEARNING OBJECTIVES 3.9 Derivatives of Exponential and Logarithmic Functions 48

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READ 3.9 Derivatives of Exponential and Logarithmic Functions READ 3.9 Derivatives of Exponential and Logarithmic Functions 49

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VIEW 3.9 Derivatives of Exponential and Logarithmic Functions VIEW 3.9 Derivatives of Exponential and Logarithmic Functions 50

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EXERCISES 3.9 Derivatives of Exponential and Logarithmic Functions EXERCISES 3.9 Derivatives of Exponential and Logarithmic Functions 69 51

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Quiz

Quiz: 3.8, 3.9 Quiz: 3.8, 3.9 7 52

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Chapter 4

Chapter 4 Chapter 4

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Chapter 4 Applications of Derivatives 1

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Discussion Topic

Discussion: Ch 4_1 Discussion: Ch 4_1 5 2

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Discussion Topic

Discussion: Ch 4 L'Hopital's Rule Discussion: Ch 4 L'Hopital's Rule 5 4

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Chapter Readings 5

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4.3 Maxima and Minima 6

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LEARNING OBJECTIVES 4.3 Maxima and Minima LEARNING OBJECTIVES 4.3 Maxima and Minima 7

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READ 4.3 Maxima and Minima READ 4.3 Maxima and Minima 8

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VIEW 4.3 Maxima and Minima VIEW 4.3 Maxima and Minima 9

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Assignment

EXERCISES 4.3 Maxima and Minima EXERCISES 4.3 Maxima and Minima 48 10

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4.4 The Mean Value Theorem 11

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LEARNING OBJECTIVES 4.4 The Mean Value Theorem LEARNING OBJECTIVES 4.4 The Mean Value Theorem 12

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READ 4.4 The Mean Value Theorem READ 4.4 The Mean Value Theorem 13

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VIEW 4.4 The Mean Value Theorem VIEW 4.4 The Mean Value Theorem 14

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EXERCISES 4.4 The Mean Value Theorem EXERCISES 4.4 The Mean Value Theorem 33 15

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Context Module Sub Header

4.5 Derivatives and the Shape of a Graph 16

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LEARNING OBJECTIVES 4.5 Derivatives and the Shape of a Graph LEARNING OBJECTIVES 4.5 Derivatives and the Shape of a Graph 17

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READ 4.5 Derivatives and the Shape of a Graph READ 4.5 Derivatives and the Shape of a Graph 18

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VIEW 4.5 Derivatives and the Shape of a Graph VIEW 4.5 Derivatives and the Shape of a Graph 19

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Assignment

EXERCISES 4.5 Derivatives and the Shape of a Graph EXERCISES 4.5 Derivatives and the Shape of a Graph 54 20

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Context Module Sub Header

4.6 Limits at Infinity and Asymptotes 21

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LEARNING OBJECTIVES 4.6 Limits at Infinity and Asymptotes LEARNING OBJECTIVES 4.6 Limits at Infinity and Asymptotes 22

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READ 4.6 Limits at Infinity and Asymptotes READ 4.6 Limits at Infinity and Asymptotes 23

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VIEW 4.6 Limits at Infinity and Asymptotes VIEW 4.6 Limits at Infinity and Asymptotes 24

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EXERCISES 4.6 Limits at Infinity and Asymptotes EXERCISES 4.6 Limits at Infinity and Asymptotes 45 25

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Context Module Sub Header

4.8 L’Hôpital’s Rule 31

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LEARNING OBJECTIVES 4.8 L’Hôpital’s Rule LEARNING OBJECTIVES 4.8 L’Hôpital’s Rule 32

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External Url

READ 4.8 L’Hôpital’s Rule READ 4.8 L’Hôpital’s Rule 33

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VIEW 4.8 L’Hôpital’s Rule VIEW 4.8 L’Hôpital’s Rule 34

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Context Module Sub Header

4.9 Newton’s Method 35

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Assignment

EXERCISES 4.8 L’Hôpital’s Rule EXERCISES 4.8 L’Hôpital’s Rule 45 36

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LEARNING OBJECTIVES 4.9 Newton's Method LEARNING OBJECTIVES 4.9 Newton's Method 37

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External Url

READ 4.9 Newton's Method READ 4.9 Newton's Method 38

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VIEW 4.9 Newton's Method VIEW 4.9 Newton's Method 39

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Assignment

EXERCISES 4.9 Newton's Method EXERCISES 4.9 Newton's Method 80 40

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Final Exam Information: Bldg 16-209 MARCH 17 9:30

Final Exam Information: Bldg 16-209 MARCH 17 9:30 Final Exam Information: Bldg 16-209 MARCH 17 9:30

Quiz

Practice Final Practice Final 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 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

Course Modules

Getting Started

Welcome! 1

Textbook 7

Student Support & Resources 9

Chapter 1 (REVIEW)

Chapter Readings 2

Chapter 1 Functions and Graphs 3

1.1 Review of Functions 4

1.2 Basic Classes of Functions 9

1.3 Trigonometric Functions 14

1.4 Inverse Functions 19

1.5 Exponential and Logarithmic Functions 24

Chapter 2 LIMITS

Chapter Readings 5

Chapter 2 Limits 6

2.1 A Preview of Calculus 7

2.2 The Limit of a Function 13

2.3 The Limit Laws 18

2.4 Continuity 24

Chapter 3 THE DERIVATIVE

Chapter Readings 3

Chapter 3 The Derivative 4

3.1 Defining the Derivative 5

3.2 The Derivative as a Function 10

3.3 Differentiation Rules 16

3.5 Derivatives of Trigonometric Functions 26

3.6 The Chain Rule 31

3.7 Derivatives of Inverse Functions 36

3.8 Implicit Differentiation 42

3.9 Derivatives of Exponential and Logarithmic Functions 47

Chapter 4

Chapter 4 Applications of Derivatives 1

Chapter Readings 5

4.3 Maxima and Minima 6

4.4 The Mean Value Theorem 11

4.5 Derivatives and the Shape of a Graph 16

4.6 Limits at Infinity and Asymptotes 21

4.8 L&rsquo;H&ocirc;pital&rsquo;s Rule 31

4.9 Newton&rsquo;s Method 35

Final Exam Information: Bldg 16-209 MARCH 17 9:30

4.8 L’Hôpital’s Rule 31

4.9 Newton’s Method 35