AP Calculus AB/BC Exam Review 2024 | Study Guides, Quizzes, Live Reviews | Fiveable (2024)

Unit 1 Overview: Limits and Continuity

Introducing Calculus: Can Change Occur at An Instant?

2 min read

Defining Limits and Using Limit Notation

4 min read

Estimating Limit Values from Graphs

4 min read

Estimating Limit Values from Tables

5 min read

Determining Limits Using Algebraic Properties of Limits

Unit 2 Overview: Differentiation

Defining Average and Instantaneous Rates of Change at a Point

3 min read

Defining the Derivative of a Function and Using Derivative Notation

4 min read

Estimating Derivatives of a Function at a Point

Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist

6 min read

Applying the Power Rule

2 min read

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

The Chain Rule

Implicit Differentiation

4 min read

Differentiating Inverse Functions

3 min read

Differentiating Inverse Trigonometric Functions

2 min read

Selecting Procedures for Calculating Derivatives

3 min read

Unit 4 Overview: Contextual Applications of Differentiation

Interpreting the Meaning of the Derivative in Context

4 min read

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

Rates of Change in Applied Contexts other than Motion

3 min read

Intro to Related Rates

6 min read

Solving Related Rates Problems

5 min read

Unit 5 Overview: Analytical Applications of Differentiation

Using the Mean Value Theorem

4 min read

Extreme Value Theorem, Global vs Local Extrema, and Critical Points

5 min read

Determining Intervals on Which a Function is Increasing or Decreasing

6 min read

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

5 min read

Using the Candidates Test to Determine Absolute (Global) Extrema

5 min read

Unit 6 Overview: Integration and Accumulation of Change

Integration and Accumulation of Change

Approximating Areas with Riemann Sums

Riemann Sums, Summation Notation, and Definite Integral Notation

The Fundamental Theorem of Calculus and Accumulation Functions

4 min read

Interpreting the Behavior of Accumulation Functions Involving Area

8 min read

Unit 7 Overview: Differential Equations

Modeling Situations with Differential Equations

Verifying Solutions for Differential Equations

4 min read

Sketching Slope Fields

Reasoning Using Slope Fields

5 min read

Approximating Solutions Using Euler’s Method

3 min read

Unit 8 Overview: Applications of Integration

Finding the Average Value of a Function on an Interval

Connecting Position, Velocity, and Acceleration of Functions Using Integrals

8 min read

Using Accumulation Functions and Definite Integrals in Applied Contexts

3 min read

Finding the Area Between Curves Expressed as Functions of x

2 min read

Finding the Area Between Curves Expressed as Functions of y

4 min read

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

Defining and Differentiating Parametric Equations

Second Derivatives of Parametric Equations

Finding Arc Lengths of Curves Given by Parametric Equations

4 min read

Defining and Differentiating Vector-Valued Functions

4 min read

Integrating Vector-Valued Functions

4 min read

Unit 10 Overview: Infinite Series and Sequences

Defining Convergent and Divergent Infinite Series

Working with Geometric Series

The nth Term Test for Divergence

2 min read

Integral Test for Convergence

3 min read

Harmonic Series and p-Series

3 min read

2024 AP Calculus AB Exam Guide

2024 AP Calculus BC Exam Guide

Download AP Calculus Cheat Sheet PDF Cram Chart

1 min read

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

3 min read

What to Know Before Taking AP Calculus AB

What Calculator Functions Will Save Your Life?

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

What are Riemann Sums?

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

AP Calculus Multiple Choice Questions

AP Calculus AB/BC Multiple Choice Help (MCQ)

AP Calculus Free Response Question (FRQ) Overview

Score Higher on AP Calculus 2024: MCQ Tips from Students

5 min read

Score Higher on AP Calculus 2024: FRQ Tips from Students

7 min read

2015 FRQ Review

🌶️ AP Calc Cram Review: Unit 1: Limits and Continuity

AP Calc AB Cram Unit 1: Limits and Continuity

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

🌶️ AP Calc Cram Review: Unit 2: Differentiation: Definition and Fundamental Properties

🌶️ AP Calc Cram Review: Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

AP Calc AB Cram Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

Limits, Continuity & Differentiability

Finding Derivatives

Related Rates

Curve Sketching

Calc BC Tests for Series Convergence

The Fundamental Theorem of Calculus

Graphical Limits

Algebraic Limits

Helping Students Master Taking Derivatives Part I (for Teachers)

Limits @ Infinity and Horizontal Asymptotes

Continuity Part I

Polar Coordinates and Calculus (for BC teachers)