Calculus AB

AP Calculus BC covers topics found in two semesters of college calculus. It includes differential and integral calculus with conceptual, mechanical, and applicable study in the calculus of functions of a single variable. First semester topics include limits, differentiation, integration, optimization, related rates, area and volume, slope fields, and differential equations, as well as an in-depth look at the Mean Value Theorem, the Intermediate Value Theorem, and the Fundamental Theorem of Calculus. Second semester topics include infinite series, conic sections, plane curves, parametric equations, polar coordinates, Euler’s method, and vector-valued functions. Once a student has received a passing grade for the first semester of BC Calculus, the student cannot transfer to AB Calculus for the spring semester.