Course Modules

Pinned

Pinned Pinned

Page

Welcome Video Welcome Video 1

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Discussion Topic

Introductions Introductions 100 2

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External Url

Our Textbook Our Textbook 3

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External Url

MLC Online Tutoring through Zoom MLC Online Tutoring through Zoom 4

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Attachment

Table of Integrals.pdf Table of Integrals.pdf 5

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Attachment

Post Unit 3 Practice Problems.pdf Post Unit 3 Practice Problems.pdf 6

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Attachment

Post Unit 3 Practice Problems Answer Key.pdf Post Unit 3 Practice Problems Answer Key.pdf 7

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Final Exam

Final Exam Final Exam

Assignment

Final Exam Final Exam 100 1

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Assignment

Final Exam Scratch Paper Upload Final Exam Scratch Paper Upload 0 2

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Chapter 1

Chapter 1 Chapter 1

Prerequisites: Pinned

Context Module Sub Header

Derivative & Antiderivative Review 1

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External Url

Section 4.10 (Volume 1) Antiderivatives Section 4.10 (Volume 1) Antiderivatives 2

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Page

Section 4.10 (Volume 1) - Lecture: Antiderivatives Section 4.10 (Volume 1) - Lecture: Antiderivatives 3

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Page

Section 4.10 (Volume 1) - Videos Section 4.10 (Volume 1) - Videos 4

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Assignment

Section 4.10 (Volume 1) - Exercises Section 4.10 (Volume 1) - Exercises 100 5

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Context Module Sub Header

1.1 Approximating Areas 6

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External Url

Section 1.1 Approximating Areas Section 1.1 Approximating Areas 7

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Page

Section 1.1 - Lecture: Approximating Areas Section 1.1 - Lecture: Approximating Areas 8

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Page

Section 1.1 - Videos Section 1.1 - Videos 9

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Assignment

Section 1.1 - Exercises Section 1.1 - Exercises 100 10

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Context Module Sub Header

1.2 The Definite Integral 11

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External Url

Section 1.2 The Definite Integral Section 1.2 The Definite Integral 12

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Page

Section 1.2 - Lecture: The Definite Integral Section 1.2 - Lecture: The Definite Integral 13

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Page

Section 1.2 - Videos Section 1.2 - Videos 14

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Assignment

Section 1.2 - Exercises Section 1.2 - Exercises 100 15

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Context Module Sub Header

1.3 The Fundamental Theorem of Calculus 16

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External Url

Section 1.3 The Fundamental Theorem of Calculus Section 1.3 The Fundamental Theorem of Calculus 17

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Page

Section 1.3 - Lecture: The Fundamental Theorem of Calculus Section 1.3 - Lecture: The Fundamental Theorem of Calculus 18

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Page

Section 1.3 - Videos Section 1.3 - Videos 19

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Assignment

Section 1.3 - Exercises Section 1.3 - Exercises 100 20

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Context Module Sub Header

1.4 Integration Formulas and the Net Change Theorem 21

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External Url

Section 1.4 Integration Formulas and the Net Change Theorem Section 1.4 Integration Formulas and the Net Change Theorem 22

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Page

Section 1.4 - Lecture: Integration Formulas and the Net Change Theorem Section 1.4 - Lecture: Integration Formulas and the Net Change Theorem 23

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Page

Section 1.4 - Videos Section 1.4 - Videos 24

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Assignment

Section 1.4 - Exercises Section 1.4 - Exercises 100 25

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Context Module Sub Header

1.5 Substitution 26

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External Url

Section 1.5 Substitution Section 1.5 Substitution 27

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Page

Section 1.5 - Lecture: Substitution Section 1.5 - Lecture: Substitution 28

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Page

Section 1.5 - Videos Section 1.5 - Videos 29

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Assignment

Section 1.5 - Exercises Section 1.5 - Exercises 100 30

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Context Module Sub Header

1.6 Integrals Involving Exponential and Logarithmic Functions 31

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External Url

Section 1.6 Integrals Involving Exponential and Logarithmic Functions Section 1.6 Integrals Involving Exponential and Logarithmic Functions 32

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Section 1.6 - Lecture: Integrals Involving Exponential and Logarithmic Functions Section 1.6 - Lecture: Integrals Involving Exponential and Logarithmic Functions 33

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Section 1.6 - Videos Section 1.6 - Videos 34

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Assignment

Section 1.6 - Exercises Section 1.6 - Exercises 100 35

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Context Module Sub Header

1.7 Integrals Resulting in Inverse Trigonometric Functions 36

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External Url

Section 1.7 Integrals Resulting in Inverse Trigonometric Functions Section 1.7 Integrals Resulting in Inverse Trigonometric Functions 37

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Page

Section 1.7 - Lecture: Integrals Resulting in Inverse Trigonometric Functions Section 1.7 - Lecture: Integrals Resulting in Inverse Trigonometric Functions 38

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Section 1.7 - Videos Section 1.7 - Videos 39

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Section 1.7 - Exercises Section 1.7 - Exercises 100 40

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Chapter 2

Chapter 2 Chapter 2

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2.1 Areas between Curves 1

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External Url

Chapter 2.1 Areas between Curves Chapter 2.1 Areas between Curves 2

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Lecture 2.1 Example 2.4 Correction Lecture 2.1 Example 2.4 Correction 3

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Section 2.1 - Lecture: Areas between Curves Section 2.1 - Lecture: Areas between Curves 4

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Section 2.1 - Videos Section 2.1 - Videos 5

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Section 2.1 - Exercises Section 2.1 - Exercises 100 7

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Context Module Sub Header

2.2 Determining Volumes by Slicing 8

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Chapter 2.2 Determining Volumes by Slicing Chapter 2.2 Determining Volumes by Slicing 9

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Section 2.2 - Lecture: Determining Volumes by Slicing Section 2.2 - Lecture: Determining Volumes by Slicing 10

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Section 2.2 - Videos Section 2.2 - Videos 11

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Section 2.2 - Exercises Section 2.2 - Exercises 100 12

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Context Module Sub Header

2.3 Volumes of Revolution: Cylindrical Shells 13

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Chapter 2.3 Volumes of Revolution: Cylindrical Shells Chapter 2.3 Volumes of Revolution: Cylindrical Shells 14

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Section 2.3 - Lecture: Volumes of Revolution: Cylindrical Shells Section 2.3 - Lecture: Volumes of Revolution: Cylindrical Shells 15

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Section 2.3 - Videos Section 2.3 - Videos 16

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Section 2.3 - Exercises Section 2.3 - Exercises 100 17

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Context Module Sub Header

2.4 Arc Length of a Curve and Surface Area 18

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Chapter 2.4 Arc Length of a Curve and Surface Area Chapter 2.4 Arc Length of a Curve and Surface Area 19

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Section 2.4 - Lecture: Arc Length of a Curve and Surface Area Section 2.4 - Lecture: Arc Length of a Curve and Surface Area 20

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Section 2.4 - Videos Section 2.4 - Videos 21

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Section 2.4 - Exercises Section 2.4 - Exercises 100 22

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Context Module Sub Header

2.6 Moments and Centers of Mass 23

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Chapter 2.6 Moments and Centers of Mass Chapter 2.6 Moments and Centers of Mass 24

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Section 2.6 - Lecture: Moments and Centers of Mass Section 2.6 - Lecture: Moments and Centers of Mass 25

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Section 2.6 - Videos Section 2.6 - Videos 26

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Section 2.6 - Exercises Section 2.6 - Exercises 100 27

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Chapter 3 & 4.3

Chapter 3 & 4.3 Chapter 3 & 4.3

Context Module Sub Header

3.1 Integration by Parts 1

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Chapter 3.1 Integration by Parts Chapter 3.1 Integration by Parts 2

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Section 3.1 - Lecture: Integration by Parts Section 3.1 - Lecture: Integration by Parts 3

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Section 3.1 - Videos Section 3.1 - Videos 4

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Section 3.1 - Exercises Section 3.1 - Exercises 100 5

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3.2 Trigonometric Integrals 6

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Chapter 3.2 Trigonometric Integrals Chapter 3.2 Trigonometric Integrals 7

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Section 3.2 - Lecture: Trigonometric Integrals Section 3.2 - Lecture: Trigonometric Integrals 8

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Section 3.2 - Videos Section 3.2 - Videos 9

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Section 3.2 - Exercises Section 3.2 - Exercises 100 10

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Context Module Sub Header

3.3 Trigonometric Substitution 11

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Chapter 3.3 Trigonometric Substitution Chapter 3.3 Trigonometric Substitution 12

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Section 3.3 - Lecture: Trigonometric Substitution Section 3.3 - Lecture: Trigonometric Substitution 13

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Section 3.3 - Videos Section 3.3 - Videos 14

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Section 3.3 - Exercises Section 3.3 - Exercises 100 15

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Context Module Sub Header

3.4 Partial Fractions 16

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Chapter 3.4 Partial Fractions Chapter 3.4 Partial Fractions 17

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Section 3.4 - Lecture: Partial Fractions Section 3.4 - Lecture: Partial Fractions 18

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Section 3.4 - Videos Section 3.4 - Videos 19

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Section 3.4 - Exercises Section 3.4 - Exercises 100 20

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3.5 Other Strategies for Integration 21

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Chapter 3.5 Other Strategies for Integration Chapter 3.5 Other Strategies for Integration 22

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Section 3.5 - Lecture: Other Strategies for Integration Section 3.5 - Lecture: Other Strategies for Integration 23

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Section 3.5 - Videos Section 3.5 - Videos 24

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Section 3.5 - Exercises Section 3.5 - Exercises 100 25

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3.6 Numerical Integration 26

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Chapter 3.6 Numerical Integration Chapter 3.6 Numerical Integration 27

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Section 3.6 - Lecture: Numerical Integration Section 3.6 - Lecture: Numerical Integration 28

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Section 3.6 - Videos Section 3.6 - Videos 29

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Section 3.6 - Exercises Section 3.6 - Exercises 100 30

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3.7 Improper Integrals 31

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Chapter 3.7 Improper Integrals Chapter 3.7 Improper Integrals 32

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Section 3.7 - Lecture: Improper Integrals Section 3.7 - Lecture: Improper Integrals 33

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Section 3.7 - Videos Section 3.7 - Videos 34

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Section 3.7 - Exercises Section 3.7 - Exercises 100 35

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4.3 Separable Equations 36

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Section 4.3 Separable Equations Section 4.3 Separable Equations 37

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Section 4.3 - Lecture: Separable Equations Section 4.3 - Lecture: Separable Equations 38

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Section 4.3 - Videos Section 4.3 - Videos 39

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Section 4.3 - Exercises Section 4.3 - Exercises 100 40

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Course Modules

Pinned

Final Exam

Chapter 1

Derivative & Antiderivative Review 1

1.1 Approximating Areas 6

1.2 The Definite Integral 11

1.3 The Fundamental Theorem of Calculus 16

1.4 Integration Formulas and the Net Change Theorem 21

1.5 Substitution 26

1.6 Integrals Involving Exponential and Logarithmic Functions 31

1.7 Integrals Resulting in Inverse Trigonometric Functions 36

Chapter 2

2.1 Areas between Curves 1

2.2 Determining Volumes by Slicing 8

2.3 Volumes of Revolution: Cylindrical Shells 13

2.4 Arc Length of a Curve and Surface Area 18

2.6 Moments and Centers of Mass 23

Chapter 3 & 4.3

3.1 Integration by Parts 1

3.2 Trigonometric Integrals 6

3.3 Trigonometric Substitution 11

3.4 Partial Fractions 16

3.5 Other Strategies for Integration 21

3.6 Numerical Integration 26

3.7 Improper Integrals 31

4.3 Separable Equations 36