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AP Calculus AB

Important Information and Resources

Unit 1 (Limits)

Section |
Section Resources |
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2.2 Limits: Numerical and Graphical | Notes 1 (Limits: Numerical and Graphical) | Notes 1 Video | HW2: 2.2 Worksheet | ||

2.2, 2.5 Algebraic Limits | Notes 2 (Algebraic Limits) | Notes 2 Video | HW3: 2.5 Worksheet | HW3 Worksheet Answers | |

2.4, 2.8 Continuity & Intermediate Value Theorem | Notes 3 (Continuity & IVT) | Notes 3 Video | HW4: Piecewise Functions Worksheet | ||

2.7 Infinite Limits | Notes 4 (Infinite Limits) | Notes 4 Video | HW6: Limits to Infinity w/Answers | ||

Limit Review Material | HW7: Unit 1 Review w/Answers | Extra Unit 1 Review 2 w/Answers |

Unit 2 (Derivatives)

Section |
Section Resources |
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2.1 Tangent Lines | Notes 5 (Tangent Lines) | Notes 5 Video | |

3.1 Definition of the Derivative | Notes 6 (Definition of the Derivative) | Notes 6 Video | |

3.2 Power Rule | Notes 7 (Power Rule) | Notes 7 Video | |

3.3 Product and Quotient Rule | Notes 8 (Product and Quotient Rule) | Notes 8 Video | |

3.4 Rates of Change | Notes 9 (Rates of Change) | Notes 9 Video | |

3.5 Higher Derivatives | Notes 10 (Higher Derivatives) | Notes 10 Video | |

3.6 Derivatives of Trig. Functions | Notes 11 (Derivatives of Trig. Functions) | Notes 11 Video | |

3.7 Chain Rule | Notes 12 (Chain Rule) | Notes 12 Video | |

3.10 Implicit Differentiation | Notes 13 (Implicit Differentiation) | Notes 13 Video | |

Unit 2 Quiz Review | HW18: Unit 2 Quiz Reviews | Unit 2 Quiz Answers | |

3.9 Exponential and Logarithmic Differentiation | Notes 14 (Log. and Expon. Differentiation) | Notes 14 Video | |

Unit 2 Test Reviews | Unit 2 Test Reviews 1 & 2 w/Answers | Derivative Note Card Review w/Answers |

Unit 3 (Applications of the Derivative)

Section |
Section Resources |
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Chapter 4 Textbook Solutions | |||

4.2 Critical and Extreme Values | Notes 15 (Critical and Extreme Values) | Notes 15 Video | |

4.3 The Mean Value Theorem | Notes 16 (The Mean Value Theorem) | Notes 16 Video | |

4.4 The Shape of the Graph | Notes 17 (Second Derivative Test) | Notes 17 (2nd Derivative Test pdf) | |

Unit 3 Review Material 1 | HW27: Unit 3 Review 1A,B w/Answers | Curve Sketching 1 Review | |

Unit 3 Review Material 2 | HW28: Unit 3 Review 2A,B w/Answers | Curve Sketching 2 Review |

Unit 4 (Derivative Applications)

Section |
Section Resources |
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Chapter 3 Textbook Solutions | |||

3.11 Related Rates | Notes 20 (Related Rates) | Notes 20 Key | |

4.7 Optimization | Notes 21 (Optimization) | Notes 21 Key | |

Unit 4 Review Material | Unit 4 Review 1 w/Answers | Unit 4 Review 2 w/Answers |

Unit 5 (Integrals)

Section |
Section Resources |
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Chapter 5 Textbook Solutions | |||

3.9 Antiderivatives | Notes 22 (Antiderivatives) | Notes 22 Key | |

5.1, 5.2 Riemann Sums and The Definite Integral | Notes 23 (The Definite Integral) | Notes 23 Key | |

5.3 Fundamental Theorem of Calc. I & II | Notes 24 (FTC I, II) | Notes 24 Key | |

5.5 Net Change (PVA) | Notes 25 (PVA) | Notes 25 PowerPoint | |

5.6 Integration by Substitution | Notes 26 (Integration by Substitution) | Notes 26 PowerPoint | |

Unit 5 Review Material | Unit 5 Review 1 | Unit 5 Review 2 |

Unit 6 (Applications of Integrals)

Section |
Section Resources |
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Chapter 6 Textbook Solutions | |||||

6.1 (Areas Between Curves) | 6.1 Notes (Areas Between Curves) | 6.1 PowerPoint Key | |||

6.2,6.3 (Average Value & Volume) | 6.2,6.3 Notes (Average Value & Volume) | 6.2,6.3 Notes Key | |||

6.3 (Volumes Using Disks) | 6.3 Notes (Volumes Using Disks) | 6.3 PowerPoint Key | |||

6.2 (Volumes Using Cross-Sections) | 6.2 Notes (Cross-Sections) | 6.2 Notes Key | |||

Unit 6 Review | HW: Unit 6 Review w/Answers | Volumes Extra Review w/Answers | Cross Sectional Extra Review w/Answers |

Unit 7 (Particle Motion)

Section |
Section Resources |
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(Particle Motion) |
Notes (Particle Motion) | Particle Motion Notes Key | HW Packet w/Answers | ||

Unit 7 Review | Particle Motion Review w/Answers |

Unit 8 (Derivatives and Integrals of Exponential and Logarithmic Functions)

Section |
Section Resources |
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Logarithms Review |
HW Logarithm Review Packet | ||||

8-1 (Derivatives and Integrals of Exp.) | 8-1 Notes | 8-1 Notes Key | HW Derivatives and Integrals of Exponentials Packet | ||

8-2 (Derivatives and Integrals of Logs.) | 8-2 Notes | 8-2 Notes Key | HW Derivatives and Integrals of Logarithmic Functions | ||

Unit 8 Review Material | HW: Unit 8 Test Review w/Answers | Unit 8 Extra Review w/Answers |

Unit 9 (Differential Equations)

Section |
Section Resources |
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Slope Fields |
HW Slope Fields Worksheet w/Answers | ||||

Separable Differential Equations | Separable Differential Equations Notes | Separable Differential Equations Notes Key | HW Separable Differential Equations Worksheet |

Unit 10 (More on Derivatives and Integrals)

Section |
Section Resources |
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Inverse Trig. Derivatives and Integrals | Inverse Trig. Derivatives and Integrals | Notes Key | ||

L'Hospital's Rule and the Trapezoidal Rule | L'Hospital and Trapezoidal Rule Notes | Notes Key | ||

Unit 10 Review Material | Unit 10 Test Review w/Answers |

Final Review

Section |
Section Resources |
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Final Review | Final Exam Review w/Answers |