AP Calculus BC

10 units · licensed

Everything in AB, plus parametric and polar functions and infinite series. The first eight units match AB.

Unit 1

Limits and continuity

Limits from formulas and graphs

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Unit 2

Differentiation: definition and basic rules

Power and product rules

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Unit 3

Differentiation: composite and implicit

Chain rule and implicit derivatives

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Unit 4

Contextual applications of differentiation

Velocity and volume-related rates

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Unit 5

Analytical applications of differentiation

Derivative graphs and volume optimization

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Unit 6

Integration and accumulation

Definite integrals, signed area, and accumulation

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Unit 7

Differential equations

Initial-value problems

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Unit 8

Applications of integration

Area and volumes of solids

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Unit 9

Parametric, polar, and vector-valued functions

Parametric derivatives, polar slopes and areas

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Unit 10

Infinite sequences and series

Sequence graph limits, geometric series and Taylor coefficients

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Loop practice

Cycle through all 10 units until you get 200 right (20 × 10 units).

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