Calculus II

Course Modules

Derivatives and Integrals

Derivatives and Integrals Derivatives and Integrals

Page

Derivative and Integral Sheets Derivative and Integral Sheets 1

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Class Notes

Class Notes Class Notes

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Week 1 Plans (W, 8/24-R, 8/25) Week 1 Plans (W, 8/24-R, 8/25) 1

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Attachment

Class notes – 2022 – 08 - 24.pptx Class notes – 2022 – 08 - 24.pptx 2

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Attachment

The Antiderivative.pptx The Antiderivative.pptx 3

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External Tool

5.1.1 An Introduction to Calculus II (14 min) 5.1.1 An Introduction to Calculus II (14 min) 4

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External Tool

4.8.1 The Antiderivative and the Improper Integral (14 min) 4.8.1 The Antiderivative and the Improper Integral (14 min) 5

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Page

Class 2 Notes R, 8/25 Class 2 Notes R, 8/25 6

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Attachment

Area and Finite Sums.pptx Area and Finite Sums.pptx 7

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Attachment

Class notes – 08.pptx Class notes – 08.pptx 8

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External Tool

4.8.2 Antiderivative Table (13 min) 4.8.2 Antiderivative Table (13 min) 9

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4.8.3 Integration Practice (13 min) 4.8.3 Integration Practice (13 min) 10

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5.1.2 Midpoint Approximation (13 min) 5.1.2 Midpoint Approximation (13 min) 11

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Page

Class 3 Notes M 8/29 Class 3 Notes M 8/29 12

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Attachment

Sigma Notation and Limits of Finite Sums.pptx Sigma Notation and Limits of Finite Sums.pptx 13

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Attachment

Class Notes - 2022 08 29.pptx Class Notes - 2022 08 29.pptx 14

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External Tool

5.1.3 Left and Right Endpoints and Exact Area (12 min) 5.1.3 Left and Right Endpoints and Exact Area (12 min) 15

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External Tool

5.2.1 How does Summation Work? (9 min) 5.2.1 How does Summation Work? (9 min) 16

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External Tool

5.2.2 Infinite Reimann Sums (16 min) 5.2.2 Infinite Reimann Sums (16 min) 17

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External Tool

5.2.3 Three Ways to Find Area (15 min) 5.2.3 Three Ways to Find Area (15 min) 18

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Page

Class 4, T, 8/30 Class 4, T, 8/30 19

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Attachment

The Definite Integral.pptx The Definite Integral.pptx 20

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Attachment

Class Notes - 2022 08 30.pptx Class Notes - 2022 08 30.pptx 21

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Page

Class 5, R 9/1 - Review for Exam 1 Class 5, R 9/1 - Review for Exam 1 22

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Class Notes - 2022 09 01.pptx Class Notes - 2022 09 01.pptx 23

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Class 6, R 9/2 - Exam #1 Class 6, R 9/2 - Exam #1 24

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Class 7, T 9/6 Class 7, T 9/6 25

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Attachment

The Fundamental Theorem of Calculus.pptx The Fundamental Theorem of Calculus.pptx 26

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Class Notes - 2022 09 06.pptx Class Notes - 2022 09 06.pptx 27

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Class 8, R 9/8 Class 8, R 9/8 28

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Indefinite Integrals and the Substitution Method.pptx Indefinite Integrals and the Substitution Method.pptx 29

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Class Notes - 2022 09 08.pptx Class Notes - 2022 09 08.pptx 30

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Page

Class 9 F 9/9 Class 9 F 9/9 31

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Class Notes 2022 09 09.pptx Class Notes 2022 09 09.pptx 32

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Definite Integral Substitutions.pptx Definite Integral Substitutions.pptx 33

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Context Module Sub Header

Class 10 - M 9/12 34

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Area Between Curves.pptx Area Between Curves.pptx 35

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Class Notes - 12 09 2022.pptx Class Notes - 12 09 2022.pptx 36

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Context Module Sub Header

Class 11 - T 9/13 37

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Attachment

Volumes Using Cross-sections.pptx Volumes Using Cross-sections.pptx 38

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Context Module Sub Header

Class 12 - R 9/15 39

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Attachment

Arc Length.pptx Arc Length.pptx 40

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Attachment

Examples.pptx Examples.pptx 41

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Context Module Sub Header

Class 13 - 9/16 42

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Attachment

Area of Surfaces of Revolution.pptx Area of Surfaces of Revolution.pptx 43

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Attachment

Examples - 9 16 2022.pptx Examples - 9 16 2022.pptx 44

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Context Module Sub Header

Class 14 - M 9/19 45

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Moments and Center of Mass.pptx Moments and Center of Mass.pptx 46

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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
Attachment

Class Examples - 09 19 2022.pptx Class Examples - 09 19 2022.pptx 47

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Context Module Sub Header

Class 15 - T 9/20 48

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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
Attachment

The Logarithm Defined As An Integral.pptx The Logarithm Defined As An Integral.pptx 49

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Attachment

Class notes - 09 20 2022.pptx Class notes - 09 20 2022.pptx 50

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Attachment

single-page-integral-table.pdf single-page-integral-table.pdf 51

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Context Module Sub Header

Class 16 - R 9/22 52

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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
Context Module Sub Header

Review for exam 2 53

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Attachment

Review.pptx Review.pptx 54

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Attachment

Office Hours - 9 22 2022.pptx Office Hours - 9 22 2022.pptx 55

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Context Module Sub Header

Class 17 - F 9/23 56

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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
Context Module Sub Header

Enjoy your day off! 57

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Context Module Sub Header

Class 18 - M 9/26 - Exam in Discussion Section 58

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Context Module Sub Header

Class 19 - T 9/26 59

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Attachment

Exponential Growth and Decay.pptx Exponential Growth and Decay.pptx 60

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Attachment

Class notes - 9 27.pptx Class notes - 9 27.pptx 61

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Context Module Sub Header

Class 20 - R 9/29 62

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Attachment

Integration by Parts.pptx Integration by Parts.pptx 63

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Attachment

Integration by Parts - in class notes.pptx Integration by Parts - in class notes.pptx 64

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Context Module Sub Header

Class 21 - F 9/30 65

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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
Attachment

Tabular Integration By Parts.pptx Tabular Integration By Parts.pptx 66

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Attachment

Tabular Integration By Parts - in class notes.pptx Tabular Integration By Parts - in class notes.pptx 67

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Context Module Sub Header

Class 22 - Monday 10/03 68

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Attachment

Trig Identities.pptx Trig Identities.pptx 69

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Attachment

Trig Identities - in class notes.pptx Trig Identities - in class notes.pptx 70

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Context Module Sub Header

Class 23 - Tuesday 10/04 71

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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
Attachment

Partial Fraction Expansion.pptx Partial Fraction Expansion.pptx 72

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Attachment

Partial Fraction Expansion - in class notes.pptx Partial Fraction Expansion - in class notes.pptx 73

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Context Module Sub Header

Class 24 - Thursday 10/06 74

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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
Attachment

Trapezoidal Approximation and Simpson’s Rule.pptx Trapezoidal Approximation and Simpson’s Rule.pptx 75

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Attachment

Trapezoidal Approximation and Simpson’s Rule - in class notes.pptx Trapezoidal Approximation and Simpson’s Rule - in class notes.pptx 76

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Context Module Sub Header

Class 25 - Friday 10/07 77

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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
Attachment

Final Review - I.pptx Final Review - I.pptx 78

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Context Module Sub Header

Class 26 - Monday 10/10 79

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Attachment

Final Review - II.pptx Final Review - II.pptx 80

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Context Module Sub Header

Class 27 - Tuesday 10/11 81

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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
Attachment

Final Review III.pptx Final Review III.pptx 82

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Practice Tests and HW Solutions

Practice Tests and HW Solutions Practice Tests and HW Solutions

Page

Practice Test 1 Practice Test 1 1

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Page

Test 1 Solutions Test 1 Solutions 2

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Attachment

Test 1 MA 1022 A22 - solutions.docx Test 1 MA 1022 A22 - solutions.docx 3

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Attachment

HW1_MA1022_A22 - solutions.docx HW1_MA1022_A22 - solutions.docx 4

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Attachment

HW2_MA1022_A22 - solutions.docx HW2_MA1022_A22 - solutions.docx 5

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Page

Suggested Problems 8.7 and 6.4 and other materials Suggested Problems 8.7 and 6.4 and other materials 6

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Page

Additional Solutions from Past Terms (for Study for Test 3) Additional Solutions from Past Terms (for Study for Test 3) 7

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Page

HW #3 Solutions HW #3 Solutions 8

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Page

Practice Test 2 Practice Test 2 10

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Page

Test 2 Solutions Test 2 Solutions 11

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Attachment

Useful formulas for the second exam.docx Useful formulas for the second exam.docx 12

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Test 2 MA 1022 A22 - solutions.docx Test 2 MA 1022 A22 - solutions.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 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
Page

Practice Test 3 Practice Test 3 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 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

Finals 15

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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
Attachment

1022 final B Term 2018.pdf 1022 final B Term 2018.pdf 16

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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
Attachment

1022 final B Term 2018 answers.pdf 1022 final B Term 2018 answers.pdf 17

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Attachment

1022 final B Term 2019.pdf 1022 final B Term 2019.pdf 18

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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
Attachment

1022 final B Term 2019 answers.pdf 1022 final B Term 2019 answers.pdf 19

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Attachment

1022 Final 2020.pdf 1022 Final 2020.pdf 20

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Attachment

1022 Final 2020 answers.pdf 1022 Final 2020 answers.pdf 21

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Context Module Sub Header

Quizes 22

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Attachment

Quiz #1.docx Quiz #1.docx 23

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Final Reviews

Final Reviews Final Reviews

Attachment

Basic Skills 1 of 3.pdf Basic Skills 1 of 3.pdf 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 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
Attachment

Basic Skills 2 of 3.pdf Basic Skills 2 of 3.pdf 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
Attachment

Basic Skills 3 of 3.pdf Basic Skills 3 of 3.pdf 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 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
Attachment

CENTROID.pdf CENTROID.pdf 4

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Attachment

OCTO-VOLUME.pdf OCTO-VOLUME.pdf 5

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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
Attachment

Partial Fraction.pdf Partial Fraction.pdf 6

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Attachment

RIEMANN SUM.pdf RIEMANN SUM.pdf 7

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Attachment

VOLUME REVOLUTION.pdf VOLUME REVOLUTION.pdf 8

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Attachment

AREA.pdf AREA.pdf 9

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Context Module Sub Header

Solutions 10

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Attachment

AREA solution-1.pdf AREA solution-1.pdf 11

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Attachment

Basic Skills 1 of 3 solution.pdf Basic Skills 1 of 3 solution.pdf 12

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Attachment

Basic Skills 2 of 3 solution.pdf Basic Skills 2 of 3 solution.pdf 13

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Attachment

Basic Skills 3 of 3 solution.pdf Basic Skills 3 of 3 solution.pdf 14

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Attachment

CENTROID solution.pdf CENTROID solution.pdf 15

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Attachment

OCTO-VOLUME solution.pdf OCTO-VOLUME solution.pdf 16

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Attachment

Partial Fraction solution.pdf Partial Fraction solution.pdf 17

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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
Attachment

RIEMANN SUM solution.pdf RIEMANN SUM solution.pdf 18

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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
Attachment

VOLUME REVOLUTION solution.pdf VOLUME REVOLUTION solution.pdf 19

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Final Formula Sheet

Final Formula Sheet Final Formula Sheet

Attachment

FinalEquationSheet_v2.pdf FinalEquationSheet_v2.pdf 1

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Attachment

EquationSheet_Resized.pdf EquationSheet_Resized.pdf 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

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Calculus II

Course Modules

Derivatives and Integrals

Class Notes

Class 10 - M 9/12 34

Class 11 - T 9/13 37

Class 12 - R 9/15 39

Class 13 - 9/16 42

Class 14 - M 9/19 45

Class 15 - T 9/20 48

Class 16 - R 9/22 52

Review for exam 2 53

Class 17 - F 9/23 56

Enjoy your day off! 57

Class 18 - M 9/26 - Exam in Discussion Section 58

Class 19 - T 9/26 59

Class 20 - R 9/29 62

Class 21 - F 9/30 65

Class 22 - Monday 10/03 68

Class 23 - Tuesday 10/04 71

Class 24 - Thursday 10/06 74

Class 25 - Friday 10/07 77

Class 26 - Monday 10/10 79

Class 27 - Tuesday 10/11 81

Practice Tests and HW Solutions

Finals 15

Quizes 22

Final Reviews

Solutions 10

Final Formula Sheet