AP Calculus

AP Calculus AB Course Content 

The course content is organized into eight commonly taught units, which have been arranged in the following suggested, logical sequence: 

1. Unit 1: Limits and Continuity 

2. Unit 2: Differentiation: Definition and Fundamental Properties 

3. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions 

4. Unit 4: Contextual Applications of Differentiation 

5. Unit 5: Analytical Applications of Differentiation 

6. Unit 6: Integration and Accumulation of Change 

7. Unit 7: Differential Equations 

8. Unit 8: Applications of Integration 

AP Calculus BC Course Content 

All topics in the eight units of AP Calculus AB are also included in AP Calculus BC. However, AP Calculus BC contains two additional units (Units 9 and 10), plus some extra topics in Units 6─8.  

Additional topics in AP Calculus BC:

• Additional techniques of integration (Unit 6)

• Euler's method and logistic models with differential equations (Unit 7)

• Arc length and distance traveled along a smooth curve (Unit 8)

• Parametric equations, polar coordinates, and vector-valued functions (Unit 9)

• Infinite sequences and series (Unit 10)