Mathematics
AP CALCULUS
AP CALCULUS AB
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
- CONTEXTUAL APPLICATIONS OF DIFFERENTIATION
- ANALYTICAL APPLICATIONS OF DIFFERENTIATION
- INTEGRATION AND ACCUMULATION OF CHANGE
- APPLICATIONS OF INTEGRATION
- DIFFERENTIAL EQUATIONS
- PARAMETRIC EQUATIONS, POLAR COORDINATES, VECTOR-VALUED FUNCTIONS
- INFINITE SEQUENCES AND SERIES
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