AP Calculus BC is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions.
Students enrolled in AP Calculus BC will enhance their understanding of topics covered in AP Calculus AB and will also engage in a complete analysis of parametric equations, vectors, series and sequences. Because of the timing of the AP exam, AP Calculus BC students will proceed at an accelerated pace. Throughout the course, students will practice AP type problems and questions in preparation for the AP exam. This course encompasses two full semesters of university-level calculus.
*This course is offered for dual credit through UMSL.
Grade Level(s): 10th-12th
Curricula for Advanced Placement (AP) courses are created by the American College Board, which offers high level coursework and exams to high school students. Colleges and universities may grant placement and course credit to students who obtain high scores on examinations. Curriculum for each subject area is created by a panel of experts and college-level educators in that field of study. The Course & Exam Description (CED) for AP Calculus AB and BC can be found HERE.
Course-Level Scope & Sequence (Units &/or Skills)
- Unit 1: Limits and Continuity
- Unit 2: Differentiation: Definition and Fundamental Properties
- Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
- Unit 4: Contextual Applications of Differentiation
- Unit 5: Analytical Applications of Differentiation
- Unit 6: Integration and Accumulation of Change
- Unit 7: Differential Equations
- Unit 8: Applications of Integration
- Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
- Unit 10: Infinite Sequences and Series
Date Last Revised/Approved: 2014