Course 06 · AP

AP Calculus AB

Limits, derivatives, and integrals — built for the AP AB exam.

Overview

What this course covers.

AP Calculus AB covers the fundamental theorem of calculus, differentiation, and integration. Sessions are structured around the AP exam format with FRQ practice and MCQ strategy woven throughout.

PrerequisitesAP Precalculus or Pre-Calculus with strong trig and function foundations.

Next CourseAP Calculus BC →

Try a sample problem

Test the waters.

No login needed. Solve the problem below to get a feel for what we cover.

Problem

What is the derivative of f(x) = x³?

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Curriculum

Topics & units.

Unit 1

Limits & Continuity

›Limit notation & evaluation
›One-sided limits
›Continuity & types of discontinuity
›Intermediate Value Theorem

Unit 2

Differentiation

›Definition of the derivative
›Power, product, quotient rules
›Chain rule
›Implicit differentiation
›Related rates

Unit 3

Applications of Derivatives

›Critical points & extrema
›Concavity & inflection points
›L'Hopital's Rule
›Optimization problems

Unit 4

Integration

›Antiderivatives & indefinite integrals
›Definite integrals & Riemann sums
›Fundamental Theorem of Calculus
›u-substitution

Unit 5

Applications of Integration

›Area between curves
›Volumes of revolution
›Accumulation functions
›Differential equations (intro)

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