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AP Calculus AB is an introductory college-level course. Students develop their understanding of differential and integral calculus by interacting with real-world problems represented graphically, numerically, analytically and verbally, and using definitions and theorems to construct arguments and explore concepts such as variances, limits, and analysis of functions.

TOPICS

QUESTION PERCENTAGES

Limits and Continuity

10% – 12%

Differentiation

10% – 12%

Advanced Topics in Differentiation

9% – 13%

Contextual Applications of Differentiation

10% – 15%

Analytical Applications of Differentiation

15% – 18%

Integration and Accumulation of Change

17% – 20%

Applications of Integration

10% – 15%

Differential Equations

6% – 12%

AP CALCULUS AB TOPICS

LIMITS AND CONTINUITY

DIFFERENTIATION – Definiton and Fundemantal Properties

ADVANCED TOPICS IN DIFFERENTIATION – Composite, Implicit, and Inverse Functions

CONTEXTUAL APPLICATIONS OF DIFFERENTIATION

ANALYTICAL APPLICATIONS OF DIFFERENTIATION

INTEGRATION AND ACCUMULATION OF CHANGE

APPLICATIONS OF INTEGRATION

DIFFERENTIAL EQUATIONS

AP CALCULUS BC

The AP Calculus BC is designed to be equivalent to both first and second semester college courses. AP Calculus BC applies the content and skills learned in AP Calculus AB to parametrically defined curves, polar curves and vector-valued functions; develops additional integration techniques and practices; introduces series and series subjects.

TOPICS

QUESTION PERCENTAGES

Limits and Continuity

4% – 7%

Differentiation

4% – 7%

Advanced Topics in Differentiation

4% – 7%

Contextual Applications of Differentiation

6% – 9%

Analytical Applications of Differentiation

8% – 11%

Integration and Accumulation of Change

17% – 20%

Applications of Integration

6% – 9%

Differential Equations

6% – 9%

Applications of Integration

11% – 12%

Differential Equations

17% – 18%

AP CALCULUS BC TOPICS

LIMITS AND CONTINUITY

DIFFERENTIATION – Definiton and Fundemantal Properties

ADVANCED TOPICS IN DIFFERENTIATION – Composite, Implicit, and Inverse Functions