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AP Calculus (AB/BC)

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

1,583 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.

Full Course Lessons

1.Limits and Continuity
2.Differentiation: Definition and Fundamental Properties
3.Differentiation: Composite, Implicit, and Inverse Functions
4.Contextual Applications of Differentiation
5.Analytical Applications of Differentiation
6.Integration and Accumulation of Change
7.Differential Equations
8.Applications of Integration
9.Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC)
10.Infinite Sequences and Series (BC)

AP Exam Preparation

In planning.

Projects

In planning.

Interactive Explorations

One-Sided Limits
Limit vs. Function Value
From Secant Line to Tangent Line
The Tangent Line and Its Slope
Riemann Sums
The Accumulation Function
Slope Fields
Area Between Two Curves
Parametric Curves and Velocity
Partial Sums and Convergence
Taylor Polynomials
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.