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AP Calc

♾️AP Calculus AB/BC

Exam Date: May 8, 2023

A library of helpful videos, study guides, trivia, and more

279 resources

👑Unit 1 – Limits & Continuity

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1.5 Determining Limits Using Algebraic Properties of Limits

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1.11 Defining Continuity at a Point

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1.12 Confirming Continuity over an Interval

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1.13 Removing Discontinuities

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Continuity Part II - Slides

🎥 Video

Limits @ Infinity and Horizontal Asymptotes

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🤓Unit 2 – Fundamentals of Differentiation

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2.1 Defining Average and Instantaneous Rates of Change at a Point

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2.3 Estimating Derivatives of a Function at a Point

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2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple

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2.11 Multiple Choice Questions

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Helping Students Master Taking Derivatives Part I (for Teachers)

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The Limit Definition of the Derivative

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🤙🏽Unit 3 – Composite, Implicit, & Inverse Functions

📄 Study Guide

3.1 The Chain Rule

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3.5 Selecting Procedures for Calculating Derivatives

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3.6 Calculating Higher-Order Derivatives

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Unit 3 Overview: Differentiation: Composite, Implicit, and Inverse Functions

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Interpreting Derivatives through Graphs and in context - Slides

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Interpreting Derivatives through Tables and in context - Slides

Jerry Kosoff

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👀Unit 4 – Contextual Applications of Differentiation

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4.1 Interpreting the Meaning of the Derivative in Context

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4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration

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4.7 Using L'Hopitals Rule for Determining Limits in Indeterminate Forms

📄 Study Guide

4.9 MC Answers and Review

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Presentation Slides, L'Hospital's Rule

🎥 Video

Related Rates

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✨Unit 5 – Analytical Applications of Differentiation

📄 Study Guide

5.1 Using the Mean Value Theorem

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5.4 Using the First Derivative Test to Determine Relative (Local) Extrema

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Unit 5 Overview: Analytical Applications of Differentiation

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Presentation Slides, Existence Theorms

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Existence Theorems

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f, f', f''

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🔥Unit 6 – Integration & Accumulation of Change

📄 Study Guide

6.1 Unit 6: Integration and Accumulation of Change

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6.14 MC Answers and Review

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Unit 6 Overview: Integration and Accumulation of Change

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Integration Techniques Part II

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Using FTC and Integral Defined Functions

Meghan Dwyer

📰 Blog

AP Calculus: Riemann Sums

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💎Unit 7 – Differential Equations

📄 Study Guide

7.3 Sketching Slope Fields

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7.5 Approximating Solutions Using Euler’s Method

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7.9 Logistic Models with Differential Equations

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7.10 Multiple Choice Questions

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Separable Differential Equations Slides

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Separable Differential Equations

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🐶Unit 8 – Applications of Integration

📄 Study Guide

8.1 Finding the Average Value of a Function on an Interval

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8.5 Finding the Area Between Curves Expressed as Functions of y

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8.8 Volumes with Cross Sections: Triangles and Semicircles

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8.11 Volume with Washer Method: Revolving Around the x- or y-Axis

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8.12 Volume with Washer Method: Revolving Around Other Axes

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Unit 8 Overview: Applications of Integration

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🦖Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

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9.2 Second Derivatives of Parametric Equations

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9.3 Finding Arc Lengths of Curves Given by Parametric Equations

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9.5 Integrating Vector-Valued Functions

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9.6 Solving Motion Problems Using Parametric and Vector-Valued Functions

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9.9 Finding the Area of the Region Bounded by Two Polar Curves

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Unit 9 Overview: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

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♾Unit 10 – Infinite Sequences & Series (BC Only)

📄 Study Guide

10.4 Integral Test for Convergence

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10.10 Alternating Series Error Bound

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10.11 Finding Taylor Polynomial Approximations of Functions

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10.13 Radius and Interval of Convergence of Power Series

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10.15 Representing Functions as Power Series

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Unit 10 Overview: Infinite Series and Sequences

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✏️Frequently Asked Questions

📰 Blog

How Can I Get a 5 in AP Calculus AB/BC?

📰 Blog

How to do a Riemann Sum?

📰 Blog

Is AP Calculus AB/BC Hard? Is AP Calc Worth Taking?

📰 Blog

What Calculator Functions Will Save Your Life?

📰 Blog

What is U-Sub and how do I use it?

📰 Blog

What to Know Before Taking AP Calculus AB

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🧐Multiple Choice Questions (MCQ)

📄 Study Guide

AP Calculus AB/BC Multiple Choice Help (MCQ)

📄 Study Guide

Calculus Multiple Choice Questions

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✍️Free Response Questions (FRQ)

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AP Calculus: 2015 FRQ Slides

Brandon Wu

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Presentation Slides, 2017 FRQ

Brandon Wu

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Review: Using the Graph of a Derivative FRQ - Stream Slides

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🎉NMSI AP Reader Chat: Calculus (AB and BC)

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2015 FRQ Review

Brandon Wu

🎥 Video

2017 FRQ Review

Brandon Wu

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🙏Exam Review 2020

Coming soon

❓Q & A sessions

🖇 Slides

Calculus Slides, Q and A

Brandon Wu

🎥 Video

Q and A

Brandon Wu

🎥 Video

Q and A

🎥 Video

Q&A Student Study Session

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📆Big Reviews: Finals & Exam Prep

📄 Study Guide

2022 AP Calculus AB Exam Guide

📄 Study Guide

2022 AP Calculus BC Exam Guide

🎥 Video

Fall Semester Review (2019)

📰 Blog

Download AP Calculus Cheat Sheet PDF Cram Chart

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🌶️AP Cram Sessions 2021

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AP Calc AB Cram Unit 2: Differentiation: Definition and Fundamental Properties

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AP Calc AB Cram Unit 6: Integration and Accumulation of Change

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AP Calc AB Cram Unit 8: Applications of Integration

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AP Calc AB Finale Slides

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AP Calc BC Cram Unit 6: BC Concepts (Integration by parts, Using Linear Partial Fractions, and Improper Integrals)

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🌶️ AP Calc Cram Review: Unit 10: Infinite Sequence and Series Part 2

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Browse By Unit

All Units

👑Unit 1 – Limits & Continuity

🤓Unit 2 – Fundamentals of Differentiation

🤙🏽Unit 3 – Composite, Implicit, & Inverse Functions

👀Unit 4 – Contextual Applications of Differentiation

✨Unit 5 – Analytical Applications of Differentiation

🔥Unit 6 – Integration & Accumulation of Change

💎Unit 7 – Differential Equations

🐶Unit 8 – Applications of Integration

🦖Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

♾Unit 10 – Infinite Sequences & Series (BC Only)

Other Resources

✏️Frequently Asked Questions

🧐Multiple Choice Questions (MCQ)

✍️Free Response Questions (FRQ)

🙏Exam Review 2020

❓Q & A sessions

📆Big Reviews: Finals & Exam Prep

🌶️AP Cram Sessions 2021

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