BC
Math & CS
AP Calculus BC
51 questions · 195 minutes on the real exam
Practice
Learn
Exam structure
Total time: 3 hours 15 minutes
MCQSection I Part A: No Calculator MCQ
30 Qs·60 min·33.3%
No calculator allowed.
MCQSection I Part B: Calculator MCQ
15 Qs·45 min·16.7%
Graphing calculator required.
FRQSection II Part A: Calculator FRQ
2 Qs·30 min·16.7%
Graphing calculator required.
FRQSection II Part B: No Calculator FRQ
4 Qs·60 min·33.3%
No calculator allowed.
Scoring
Scored 1–5. MCQ = 50%, FRQ = 50%. Also generates an AB sub-score.
Tips
- Same structure as AB but includes series, parametric, polar, and vector content
- Taylor/Maclaurin series are heavily tested
- Convergence tests: ratio, comparison, integral, alternating series
What's on this exam
Unit 1: Limits and Continuity
7%- Limits
- Continuity
- Squeeze Theorem
Unit 2: Differentiation: Definition and Fundamental Properties
6%- Definition of Derivative
- Differentiation Rules
- Derivatives of Trig Functions
Unit 3: Differentiation: Composite, Implicit, Inverse Functions
5%- Chain Rule
- Implicit Differentiation
- Inverse Function Derivatives
Unit 4: Contextual Applications of Differentiation
7%- Motion Problems
- Related Rates
- Linearization
Unit 5: Analytical Applications of Differentiation
8%- Extrema
- Concavity
- Mean Value Theorem
- Optimization
Unit 6: Integration and Accumulation of Change
11%- Riemann Sums
- Fundamental Theorem of Calculus
- Integration Techniques
Unit 7: Differential Equations
4%- Separation of Variables
- Exponential Growth/Decay
- Slope Fields
Unit 8: Applications of Integration
11%- Area Between Curves
- Volume of Solids
- Accumulation Functions
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
20%- Parametric Equations
- Polar Coordinates and Area
- Vector-Valued Functions
Unit 10: Infinite Sequences and Series
20%- Convergence Tests
- Taylor and Maclaurin Series
- Power Series