Subject

♾️AP Calculus AB/BC

Study Guides by Unit

👑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)

♾️AP Calculus AB/BC

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Cram Finales

📚

Study Guides

🕹️

Practice Questions

😈️

AP Cheatsheets

📓️

Study Plans

Defining and Taking Derivatives

6 min read

•

written by Rupi Adhikary

Unit 2 Overview: Differentiation

1 min read

•

written by Jed Quiaoit

Unit 2 Overview

6 min read

•

written by Sumi Vora

Helping Students Master Taking Derivatives Part I (for Teachers)

written by Jamil Siddiqui

The Limit Definition of the Derivative

written by Jennifer Durost

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

2 min read

•

written by Jillian Holbrook

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

2 min read

•

written by Zaina Siddiqi

Helping Students Master Taking Derivatives Part II (for Teachers)

written by Jamil Siddiqui

Interpreting Derivatives through Tables and in context - Slides

written by Jerry Kosoff

Interpreting Derivatives through Tables and in context

written by Jerry Kosoff

Unit 4 Overview: Contextual Applications of Differentiation

1 min read

•

written by Meghan Dwyer

Related Rates

written by Jamil Siddiqui

Presentation Slides, L'Hospital's Rule

written by Meghan Dwyer

L'Hospital's rule

written by Meghan Dwyer

4.1

Interpreting the Meaning of the Derivative in Context

1 min read

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written by Meghan Dwyer

4.2

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

3 min read

•

written by Meghan Dwyer

Unit 5 Overview: Analytical Applications of Differentiation

9 min read

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written by Kashvi Panjolia

f, f', f''

written by Jennifer Durost

Increasing and Decreasing Functions

written by Suzanne Ferrell-Locke

Optimization Problems

written by Suzanne Ferrell-Locke

Concavity - Slides

written by Sander Owens

Concavity

written by Sander Owens

AP Calculus: Riemann Sums

5 min read

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written by Dylan Black

Unit 6 Overview: Integration and Accumulation of Change

21 min read

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written by Kashvi Panjolia

U-Substitution

3 min read

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written by Rupi Adhikary

Integration Techniques Part II

written by Jamil Siddiqui

Using FTC and Integral Defined Functions

written by Meghan Dwyer

Presentation Slides, FTC and Integral Defined Functions

written by Meghan Dwyer

Unit 7 Overview: Differential Equations

5 min read

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written by Kashvi Panjolia

Modeling Situations with Differential Equations

2 min read

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written by Zaina Siddiqi

Exponential Models with Differential Equations

2 min read

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written by Zaina Siddiqi

Separable Differential Equations Slides

written by Bob Amar

Separable Differential Equations

written by Bob Amar

7.2

Verifying Solutions for Differential Equations

5 min read

•

written by Jacob Jeffries

Unit 8 Overview: Applications of Integration

8 min read

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written by Kashvi Panjolia

Position, Velocity & Acceleration

written by Suzanne Ferrell-Locke

Interpreting the Meaning of a Derivative/Integral

written by Meghan Dwyer

Presentation Slides, Derivative Integral

written by Meghan Dwyer

8.1

Finding the Average Value of a Function on an Interval

2 min read

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written by Anusha Tekumulla

8.2

Connecting Position, Velocity, and Acceleration of Functions Using Integrals

4 min read

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written by ethan_bilderbeek

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

8 min read

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written by Kashvi Panjolia

Polar Coordinates and Calculus (for BC teachers)

written by Jamil Siddiqui

9.1

Defining and Differentiating Parametric Equations

3 min read

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written by Jed Quiaoit

9.2

Second Derivatives of Parametric Equations

3 min read

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written by Jed Quiaoit

9.3

Finding Arc Lengths of Curves Given by Parametric Equations

5 min read

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written by Jed Quiaoit

9.4

Defining and Differentiating Vector-Valued Functions

6 min read

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written by Jed Quiaoit

Unit 10 Overview: Infinite Series and Sequences

7 min read

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written by Kashvi Panjolia

10.1

Defining Convergent and Divergent Infinite Series

2 min read

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written by Athena_Codes

10.2

Working with Geometric Series

1 min read

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written by Athena_Codes

10.3

The nth Term Test for Divergence

1 min read

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written by Athena_Codes

10.4

Integral Test for Convergence

1 min read

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written by Athena_Codes

10.5

Harmonic Series and p-Series

1 min read

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written by Athena_Codes

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