AP Calculus
Units
Every skill, explained with figures you can move.
AP Calculus · Unit 1
Limits and Continuity
Limits from graphs, tables and algebra, and continuity
AP Calculus · Unit 2
Differentiation
The definition of the derivative and the basic rules
AP Calculus · Unit 3
Composite, Implicit and Inverse Functions
The chain rule, implicit differentiation and inverse derivatives
AP Calculus · Unit 4
Contextual Applications of Differentiation
Rates in context, motion, related rates, linear approximation and L'Hôpital's rule
AP Calculus · Unit 5
Analyzing Functions
Extrema, concavity and optimization
AP Calculus · Unit 6
Integration
Accumulation, antiderivatives and the FTC
AP Calculus · Unit 7
Differential Equations
Slope fields, separation of variables and growth models
AP Calculus · Unit 8
Applications of Integrals
Average value, motion, area and volume
AP Calculus · Unit 9
Parametric, Polar and Vector Functions
Slopes, speed, arc length and area for curves given by t or θ
AP Calculus · Unit 10
Infinite Sequences and Series
Convergence tests, Taylor polynomials and power series