AP Calculus BC

The exam format includes 55 multiple-choice questions, three short answer questions, and 6 free-response questions. The exam weight is broken down with the multiple choice portion taking up 50% of the exam weight, and the free response taking up the other 50%. Students are allotted 1 hour and 45 minutes to complete the multiple-choice section, and 1 hour and 30 minutes to compose their responses to the free response questions. To make sure you’re prepared enough to finish in time, take a look through our free AP Calculus BC study guide that covers the most important material you should know.

How do I study for AP Calculus BC?

You’ve likely covered a lot of material during your course this year, but to get a 5 on the AP exam, it’s important you understand how often each topic shows up. In this class, you will engage in hands-on experiments, delve into investigative studies, and tackle challenges by effectively applying your acquired knowledge and skills. Once you take a look through the breakdown below, make sure to read through the AP Calculus BC study guide above with all the key points you should know for each unit.

What units are on AP Calculus BC?

Unit 1: Limits and Continuity
In this unit, we'll kick off our exploration by delving into limits. These mathematical concepts will empower you to tackle problems related to change and deepen your grasp of the logical underpinnings behind functions. Get ready to enhance your mathematical reasoning skills.
Unit 2: Differentiation: Definitions and Fundamental Properties
In this unit, we'll immerse ourselves in the world of differentiation. By utilizing limits, we'll define derivatives and equip you with the prowess to adeptly compute them. Along the way, your mathematical reasoning abilities will continue to evolve. Get ready to master the art of differentiation.
Unit 3: Exploring Differentiation: Composite, Implicit, and Inverse Functions
In this unit, we'll delve deeper into differentiation techniques. You'll become a master of the chain rule, discover novel methods of differentiation, and even step into the realm of higher-order derivatives. Get ready to elevate your differentiation game.
Unit 4: Contextual Applications of Differentiation
In this unit, we'll apply derivatives to real-life situations, unraveling challenges involving instantaneous rates of change. Moreover, we'll employ mathematical reasoning to unveil the limits of specific indeterminate forms. Get ready to see differentiation in action.
Unit 5: Analytical Applications of Differentiations
Following an exploration of the intricate connections between function graphs and their derivatives, you'll acquire the skills to employ calculus for tackling optimization problems. Get ready to put your analytical prowess to the test.
Unit 6: Integration and Accumulation of Change
In this unit, you'll delve into the art of applying limits to define definite integrals and uncover how the Fundamental Theorem establishes a profound connection between integration and differentiation. By exploring integral properties and honing practical integration techniques, you'll be well-equipped to navigate the world of integration.
Unit 7: Differential Equations
In this unit, you'll delve into the world of solving specific differential equations. You'll then harness this newfound knowledge to delve deeper into concepts like exponential growth, decay, and logistic models. Get ready to unlock the secrets of differential equations!
Unit 8: Applications of Integration
In this unit, you'll forge mathematical connections that empower you to solve a diverse array of challenges. From calculating net changes over time intervals to determining lengths of curves, areas of regions, and volumes of solids defined by functions, you'll discover the practical power of integration. Get ready to put your integration skills to meaningful use.
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
In this unit, you'll unravel the world of parametric equations, polar coordinates, and vector-valued functions. By leveraging your grasp of differentiation and integration, you'll conquer the challenges posed by these mathematical constructs. Additionally, you'll delve into the intricacies of straight-line motion, applying these concepts to solve curve-related problems. Get ready for a multidimensional journey of exploration.
Unit 10: Infinite Sequences and Series
In this final unit, you'll dive into the fascinating world of infinite sequences and series. You'll dissect the behaviors of convergence and divergence exhibited by these mathematical constructs. Moreover, you'll gain the skills to represent well-known functions as infinite series. As a culmination of your journey, you'll also master the art of calculating the maximum potential error in specific approximations tied to series. Get ready for a captivating exploration of mathematical infinity

What are the video resources?

We’ve handpicked some of our favorite youtube channels and videos that align with the key topics and themes covered in our AP Calculus BC study guides. These channels can be a great way to take a journey through the world of differential and integral calculus, where you'll delve into fundamental principles, techniques, and real-world applications. This adventure covers a range of subjects including parametric, polar, and vector functions, along with series. You'll roll up your sleeves for hands-on experiments, dive into in-depth investigations, and put your acquired knowledge and skills to the test in tackling various challenges.

Where can I ask AP Calculus BC questions?

Connect with like-minded students who are also preparing for the exam and delve into the world of AP Calculus BC review together. By joining our Discord community, you can collaborate, exchange questions, discuss AP Calculus BC notes, and discuss any tricky problems with fellow AP Calculus BC students. Together, you can better understand challenging concepts, share helpful resources, and support each other on your way to getting a 5!

What is AP Calculus BC?

AP Calculus BC explores the exciting realm of differential and integral calculus! In this course you’ll uncover the core principles, methods, and practical uses of these mathematical tools. From parametric, polar, and vector functions to series, we'll explore a diverse range of topics. Get hands-on with experiments, dig deep into investigations, and sharpen your problem-solving skills by applying what you've learned. Let's embark on this mathematical adventure together! On this page, you’ll find AP Calculus BC resources to help you with your AP Calculus BC review.

AP Calculus BC

Cram Sheets

Ultimate Study Guide

Unit 1: Limits and Continuity

Unit 2: Differentiation: Definition and Fundamental Properties

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

Unit 4: Contextual Applications of Differentiation

Unit 5: Analytical Applications of Differentiation

Unit 6: Integration and Accumulation of Change

Unit 7: Differential Equations

Unit 8: Applications of Integration

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

Unit 10: Infinite Sequences and Series