AP Calculus BC

All AB topics plus parametric, polar, and series

Exam Format

Know the structure before you walk in.

Multiple Choice

Section I

45 questions, 105 minutes, 50% of score.
Part A: 30 questions, 60 min (no calculator).
Part B: 15 questions, 45 min (graphing calculator required).

Free Response

Section II

6 questions, 90 minutes, 50% of score.
Part A: 2 questions, 30 min (graphing calculator required).
Part B: 4 questions, 60 min (no calculator).

Key Policies

Calculator & Materials

Graphing calculator required for select sections.
Total exam time: 3 hours 15 minutes.

Scoring

Scale 1–5

Approximately 45% of students score a 5.
Scores of 3+ typically earn college credit.

Units

Click any unit to access study guides, practice tests, flashcards, videos, and more.

Unit 1

Limits and Continuity

Understanding limits graphically and analytically, continuity, and asymptotes

Unit 2

Differentiation: Definition & Properties

Defining the derivative, power rule, product and quotient rules

Unit 3

Differentiation: Composite, Implicit, Inverse

Chain rule, implicit differentiation, derivatives of inverse functions

Unit 4

Contextual Applications of Differentiation

Related rates, straight-line motion, local linearity, and L'Hôpital's rule

Unit 5

Analytical Applications of Differentiation

Mean Value Theorem, extrema, concavity, and optimization

Unit 6

Integration and Accumulation of Change

Definite integrals, Fundamental Theorem of Calculus, accumulation functions

Unit 7

Differential Equations

Solving separable differential equations, slope fields, and exponential growth/decay

Unit 8

Applications of Integration

Average value, area between curves, volume with cross sections

Unit 9

Parametric, Polar, and Vector-Valued Functions

Parametric derivatives, arc length, polar area, and vector-valued functions

Unit 10

Infinite Sequences and Series

Convergence tests, power series, Taylor and Maclaurin series, and error bounds

Practice Exams

Additional materials from the Ultimate Review Packet.

Practice Exam 1 (Answers and Explanations) Download Practice Exam 1 Download Practice Exam 2 (Answers and Explanations) Download Practice Exam 2 Download

Course Resources

Everything you need to master AP Calculus BC.

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Study Guide

Complete unit-by-unit breakdown with key concepts and formulas.

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Practice Test

Full-length timed exam with AP-style questions and scoring.

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Flashcards

Key terms and concepts in an easy-to-review format.

Study Cards
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Video Lessons

Step-by-step walkthroughs of the hardest topics.

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Cheat Sheet

One-page printable with all essential formulas and facts.

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AI Tutor

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