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AP Calculus

The course follows the College Board's Course and Exam Description: ten units in the CED's order, from limits through infinite series.

1,345 interactive problems.

New: Teachers can now log in, enroll their students, and assign problem sets from any unit. Due dates, attempt limits, and a class gradebook are included. All free for teachers and their students.

This page is a work in progress. We add notes and worksheets as the course is taught.

Course Outline

Unit 1 · Limits and Continuity124 problems onlineUnit 1 · Limits and Continuity

Limits Practice Packet: Graphical and AlgebraicPDFLimits Practice Packet: Graphical and Algebraic
Unit 1 AP Review: Limits and ContinuityPDFUnit 1 AP Review: Limits and Continuity

Unit 2 · Differentiation: Definition and Fundamental Properties89 problems onlineUnit 2 · Differentiation: Definition and Fundamental Properties

Unit 3 · Differentiation: Composite, Implicit, and Inverse Functions136 problems onlineUnit 3 · Differentiation: Composite, Implicit, and Inverse Functions

Unit 4 · Contextual Applications of Differentiation78 problems onlineUnit 4 · Contextual Applications of Differentiation

Unit 5 · Analytical Applications of Differentiation147 problems onlineUnit 5 · Analytical Applications of Differentiation

Course Outline, continued

Unit 6 · Integration and Accumulation of Change273 problems onlineUnit 6 · Integration and Accumulation of Change

Riemann Sums and Definite IntegralsNotesRiemann Sums and Definite Integrals

Unit 7 · Differential Equations78 problems onlineUnit 7 · Differential Equations

Unit 8 · Applications of Integration70 problems onlineUnit 8 · Applications of Integration

Unit 9 · Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC)98 problems onlineUnit 9 · Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC)

Unit 10 · Infinite Sequences and Series (BC)252 problems onlineUnit 10 · Infinite Sequences and Series (BC)

An AP Calculus Riemann sum question with rectangles drawn under a parabola
The rectangles the question asks about are drawn on the figure, at the width and endpoint the problem specifies.
An interactive slope field with a draggable initial point and a solution curve
Drag the initial point and the solution curve redraws itself through the field.