AP Calculus AB
Mathematics
AP Calculus AB: limits and continuity, differentiation and its applications, and integration and its applications.
Unit 1: Limits & Continuity
Limits, continuity, and the formal definition of a limit.
2 topics
Unit 2: Differentiation — Definition & Fundamental Properties
The definition of the derivative and basic differentiation rules.
2 topics
Unit 3: Differentiation — Composite, Implicit & Inverse Functions
The chain rule, implicit differentiation, and derivatives of inverse functions.
2 topics
Unit 4: Contextual Applications of Differentiation
Related rates, linearization, and L'Hôpital's Rule.
2 topics
Unit 5: Analytical Applications of Differentiation
Extrema, concavity, curve sketching, and optimization.
2 topics
Unit 6: Integration & Accumulation of Change
Riemann sums, the definite integral, and the Fundamental Theorem of Calculus.
2 topics
Unit 7: Differential Equations
Slope fields and separable differential equations.
1 topic
Unit 8: Applications of Integration
Average value, area between curves, and volumes of solids.
2 topics