Course Modules

Applications of Integration

Applications of Integration Applications of Integration

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Helpful Resources Area and Volume, and Arc Length Helpful Resources Area and Volume, and Arc Length 1

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Attachment

Area Between Curves.pdf Area Between Curves.pdf 2

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Attachment

volume cross sections.pdf volume cross sections.pdf 4

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Attachment

Vol Cross Sections Review.pdf Vol Cross Sections Review.pdf 5

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Attachment

Disk and Washer Methods for Volume-1.pdf Disk and Washer Methods for Volume-1.pdf 8

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Attachment

Arc Length.pdf Arc Length.pdf 10

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Attachment

Area, Volume, Arc Length Review with Answers.pdf Area, Volume, Arc Length Review with Answers.pdf 12

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Advanced Techniques of Integration

Advanced Techniques of Integration Advanced Techniques of Integration

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Long Division and Completing the Square Long Division and Completing the Square 1

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Attachment

Ch 5.7 Inverse Trig Functions Integration-1.pdf Ch 5.7 Inverse Trig Functions Integration-1.pdf 2

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Attachment

Inverse Trig Integration (long div and complete the square)-1.pdf Inverse Trig Integration (long div and complete the square)-1.pdf 3

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Attachment

Ch 8.1 Basic Integraion Rules.pdf Ch 8.1 Basic Integraion Rules.pdf 5

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Attachment

Larson 8.1 Basic Integration Rules.pdf Larson 8.1 Basic Integration Rules.pdf 6

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Attachment

Larson 8.2 Integration by Parts.pdf Larson 8.2 Integration by Parts.pdf 8

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Attachment

Integration by Parts Tabular Method.pdf Integration by Parts Tabular Method.pdf 10

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External Url

Integration by Parts Integration by Parts 11

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Page

Partial Fractions Partial Fractions 12

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Attachment

Larson 8.5 Integration by Partial Fractions.pdf Larson 8.5 Integration by Partial Fractions.pdf 13

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Page

Improper Integrals Improper Integrals 15

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Attachment

Larson 8.8 Improper Integrals Part 1.pdf Larson 8.8 Improper Integrals Part 1.pdf 16

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Attachment

Larson 8.8 Improper Integrals Part 2.pdf Larson 8.8 Improper Integrals Part 2.pdf 18

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Attachment

Comparision Test for Improper Integrals.pdf Comparision Test for Improper Integrals.pdf 20

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Attachment

Explanation of the p-test for improper integrals Explanation of the p-test for improper integrals 22

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Sequences and Series

Sequences and Series Sequences and Series

Page

dHill Videos on Series dHill Videos on Series 1

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Page

Sequences Sequences 2

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Attachment

Lesson 1 Sequences.pdf Lesson 1 Sequences.pdf 3

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Page

Introduction to Series Introduction to Series 5

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Lesson 2 Intro to Series.pdf Lesson 2 Intro to Series.pdf 6

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Attachment

Lesson 3 P-Series and Telscoping Series.pdf Lesson 3 P-Series and Telscoping Series.pdf 8

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Page

Geometric Series Test Practice Geometric Series Test Practice 10

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Attachment

Lesson 4 The Integral Test.pdf Lesson 4 The Integral Test.pdf 11

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Attachment

Lesson 5 The Comparision Tests.pdf Lesson 5 The Comparision Tests.pdf 13

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Page

Khan Academy Practice Series Khan Academy Practice Series 15

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Attachment

Stewart 11.2-11.4.docx Stewart 11.2-11.4.docx 16

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Attachment

Lesson 6 Alternating Series Test.pdf Lesson 6 Alternating Series Test.pdf 17

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Attachment

Lesson 7 Ratio and Root Test.pdf Lesson 7 Ratio and Root Test.pdf 19

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Series Part 2

Series Part 2 Series Part 2

Page

Power Series Video Examples Power Series Video Examples 1

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Attachment

Stewart 11.8 Power Series.pdf Stewart 11.8 Power Series.pdf 2

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Page

Properties of Power Series Videos Properties of Power Series Videos 4

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Attachment

Stewart 11.9 Representations of Functions as Power Series.pdf Stewart 11.9 Representations of Functions as Power Series.pdf 5

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External Url

Desmos Taylor Polynomial Desmos Taylor Polynomial 7

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Page

Taylor Series Videos Taylor Series Videos 8

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Attachment

Taylor Series.pdf Taylor Series.pdf 9

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Attachment

The big Four and Series Practice Key.pdf The big Four and Series Practice Key.pdf 11

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Attachment

LAGRANGE ERROR BOUND Video guide.pdf LAGRANGE ERROR BOUND Video guide.pdf 12

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Attachment

NOTES 09.5 Lagrange Error Bound.pdf NOTES 09.5 Lagrange Error Bound.pdf 13

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Page

FR BC 2011 #6 Form B FR BC 2011 #6 Form B 15

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Attachment

Series MC Review.pdf Series MC Review.pdf 16

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Page

Review Videos for Series Review Videos for Series 17

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Attachment

Series MC Review Worsham.pdf Series MC Review Worsham.pdf 18

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Free Response Rounds

Free Response Rounds Free Response Rounds

Attachment

FR Round 1.pdf FR Round 1.pdf 1

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FR Round 2.pdf FR Round 2.pdf 2

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FR Round 3.pdf FR Round 3.pdf 3

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FR Round 4.pdf FR Round 4.pdf 4

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FR Round 5.pdf FR Round 5.pdf 5

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Parametrics, Polars, and Vectors

Parametrics, Polars, and Vectors Parametrics, Polars, and Vectors

Page

Intro to Parametric and Vector Calculus Intro to Parametric and Vector Calculus 1

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Intro to Parametric and Calculus.pdf Intro to Parametric and Calculus.pdf 2

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Parametrics and Vectors.pdf Parametrics and Vectors.pdf 4

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Page

Parametric and Vector Videos to Free Response Parametric and Vector Videos to Free Response 6

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Parametrics and Vectors Free Response.pdf Parametrics and Vectors Free Response.pdf 7

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Attachment

Into to Polar Coordinates and Equations.pdf Into to Polar Coordinates and Equations.pdf 9

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Polar Coordinates and Slopes of Curves.pdf Polar Coordinates and Slopes of Curves.pdf 11

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Polar Area.pdf Polar Area.pdf 13

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Parametrics, Vectors, and Polar Area Mixed Review.pdf Parametrics, Vectors, and Polar Area Mixed Review.pdf 15

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Polar and Parametrics Mixed Review Answer Key.pdf Polar and Parametrics Mixed Review Answer Key.pdf 16

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Param Vector Polar Study Guide.pdf Param Vector Polar Study Guide.pdf 17

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Multiple Choice Rounds

Multiple Choice Rounds Multiple Choice Rounds

Attachment

AP Cal BC MC 1-7.pdf AP Cal BC MC 1-7.pdf 1

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AP Cal BC MC 8-14.pdf AP Cal BC MC 8-14.pdf 2

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AP Cal BC MC 15-21.pdf AP Cal BC MC 15-21.pdf 3

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AP Cal BC MC 22-28.pdf AP Cal BC MC 22-28.pdf 4

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AP Cal BC MC 29-34.pdf AP Cal BC MC 29-34.pdf 5

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AP Calculus AB/BC Review Materials

AP Calculus AB/BC Review Materials AP Calculus AB/BC Review Materials

Attachment

AP Calculus Review Sheet.pdf AP Calculus Review Sheet.pdf 2

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Final Notes for AB and BC.pdf Final Notes for AB and BC.pdf 3

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AP Review Facts.pdf AP Review Facts.pdf 4

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What Should You Think... What Should You Think... 5

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2008bcmc.pdf 2008bcmc.pdf 6

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External Url

2008 MC Solutions 2008 MC Solutions 7

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Review Quiz FR Collection.pdf Review Quiz FR Collection.pdf 9

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External Url

Mr. Castle's AP Cal BC Review Mr. Castle's AP Cal BC Review 10

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External Url

D Hill Videos D Hill Videos 11

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External Url

Cal BC Notes from Diamond Bar High School Cal BC Notes from Diamond Bar High School 12

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Context Module Sub Header

National Math and Science Foundation Review Materials 13

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Attachment

Computing Derivatives.pdf Computing Derivatives.pdf 14

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Computing Antiderivatives and Integrals.pdf Computing Antiderivatives and Integrals.pdf 15

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The Big Theorems.pdf The Big Theorems.pdf 16

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Relationships of f, f', and f''.pdf Relationships of f, f', and f''.pdf 17

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The Integral as an Accumulation.pdf The Integral as an Accumulation.pdf 18

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The Integral as an Accumulation Solutions.pdf The Integral as an Accumulation Solutions.pdf 19

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Tabular Data Problems.pdf Tabular Data Problems.pdf 20

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Tabular Data Problems Solutions.pdf Tabular Data Problems Solutions.pdf 21

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Particle Motion.pdf Particle Motion.pdf 22

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Particle Motion Solutions.pdf Particle Motion Solutions.pdf 23

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Euler's Method and Logistic Growth.pdf Euler's Method and Logistic Growth.pdf 24

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Euler's Method and Logistic Growth Solutions.pdf Euler's Method and Logistic Growth Solutions.pdf 25

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Convergence and Divergence of Series.pdf Convergence and Divergence of Series.pdf 26

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Convergence and Divergence of Series Solutions.pdf Convergence and Divergence of Series Solutions.pdf 27

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Taylor Series and Error Bound.pdf Taylor Series and Error Bound.pdf 28

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Taylor Series and Error Bound Solutions.pdf Taylor Series and Error Bound Solutions.pdf 29

attachment 494705 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 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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Parametric and Vector Functions.pdf Parametric and Vector Functions.pdf 30

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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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Parametric and Vector Functions Solutions.pdf Parametric and Vector Functions Solutions.pdf 31

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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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Polar Coordinates.pdf Polar Coordinates.pdf 32

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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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Polar Coordinates Solutions.pdf Polar Coordinates Solutions.pdf 33

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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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ap_calculus_bc_max_score_exam.pdf ap_calculus_bc_max_score_exam.pdf 34

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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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Top Ap Mistakes.pdf Top Ap Mistakes.pdf 35

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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

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