AP Calculus BC

Turns out you can add an infinite list of numbers and get a totally normal answer, and we'll show you how.

24 days — make them count.

Monday, May 11, 2026

Start Unit 1 — it's free →Explore the course ↓

31%Multiple ChoicePart A30q · 60 min

23%Multiple ChoicePart B15q · 45 min · calculator required

15%Free ResponsePart A2q · 30 min · calculator required

31%Free ResponsePart B4q · 60 min

of students scored 4 or higher in 2025

160,436 test-takers

1,915 colleges grant credit

5 · 44%

4 · 22%

3 · 13%

2 · 15%

1 · 6%

3.8 avg

543 (passing)21

Calculus BC extends Calculus AB into territory where functions go beyond numbers: parametric paths, polar coordinates, and infinite series.

The core question stays the same: what happens at the limit?

Integration and infinite series together dominate the exam — master convergence or surrender your score.

The AP exam places significant emphasis on Integration and Accumulation of Change, as well as Infinite Sequences and Series, which together account for a substantial portion of the exam's difficulty and content coverage.

How the course builds

Change · Limits · Analysis of Functions

Limits and ContinuityEstablishes the foundational language of calculus, allowing for precise definitions of instantaneous rates of change and accumulation.

10–12% of exam

Differentiation: Definition and Fundamental PropertiesIntroduces the basic concept of differentiation, setting the stage for understanding rates of change.

10–12% of exam

Differentiation: Composite, Implicit, and Inverse FunctionsExplores more complex differentiation techniques, essential for handling intricate functions.

9–13% of exam

Contextual Applications of DifferentiationApplies differentiation to real-world problems, demonstrating its utility in various contexts.

10–15% of exam

Analytical Applications of DifferentiationDelves into theoretical applications, enhancing analytical skills and problem-solving techniques.

15–18% of exam

Integration and Accumulation of ChangeIntroduces integration, addressing the accumulation of quantities and laying groundwork for solving differential equations.

17–20% of exam

Differential EquationsApplies integration to solve differential equations, modeling dynamic systems.

6–12% of exam

Applications of IntegrationExplores practical applications of integration, reinforcing its role in solving complex problems.

10–15% of exam

Parametric Equations, Polar Coordinates, and Vector-Valued FunctionsExpands the calculus toolkit to describe and analyze more intricate mathematical phenomena.

11–12% of exam

★ Hardest unitInfinite Sequences and SeriesCulminates the course by exploring infinite processes, enhancing understanding of convergence and divergence.“Requires a deep understanding of convergence and divergence, which are abstract concepts that challenge conceptual thinking.”

17–18% of exam

Unit 10: Infinite Sequences and Series is where most students hit a wall.

Requires a deep understanding of convergence and divergence, which are abstract concepts that challenge conceptual thinking.

Students often struggle with the abstraction of limits and continuity, which are foundational for understanding sequences and series.

What You Need

Coordinate and parametric reasoning readinessInterpreting motion quantitiesPolynomial and rational function fluencyExponential and logarithmic function fluencyCore trigonometric fluencyFunction notation and evaluation fluencyFunction transformations and graph interpretationAP Calculus AB equivalent masteryFunction composition and inverse functionsMulti-representation reasoning with functionsArea and geometric measurement fluencySequences and summation notationPattern recognition in algebraic expansionsAlgebraic manipulation and simplificationLinear equation and inequality fluency

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Unit 1 free · Course Pass $15 · All-Access $45 through May 31 —

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