Course Syllabus

Course Overview & Welcome

Calculus BC can be offered by schools that are able to complete all the prerequisites before the course. Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses represent college-level mathematics for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB.

Syllabus:

Unit

Exam Weighting (Multiple-Choice Section)

Unit 1: Limits and Continuity

4%–7%

Unit 2: Differentiation: Definition and Fundamental Properties

4%–7%

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

4%–7%

Unit 4: Contextual Applications of Differentiation

6%–9%

Unit 5: Analytical Applications of Differentiation

8%–11%

Unit 6: Integration and Accumulation of Change

17%–20%

Unit 7: Differential Equations

6%–9%

Unit 8: Applications of Integration

6%–9%

Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

11%–12%

Unit 10: Infinite Sequences and Series

17%–18%