This course includes all topics covered in AP Calculus AB—such as limits and continuity, derivatives and their applications, integrals and their applications, and the Fundamental Theorem of Calculus—but goes significantly further by introducing more complex and advanced concepts These additional topics include: Sequences and Series: Understanding convergence and divergence, working with geometric and harmonic series, and using Taylor and Maclaurin series to represent functions. Parametric, Polar, and Vector Functions: Analyzing curves defined parametrically or in polar coordinates and computing derivatives and integrals in these contexts. Advanced Integration Techniques: Including integration by parts, partial fractions, and improper integrals.

Students learn to analyze and solve real-world problems using calculus tools, interpret mathematical models, and communicate solutions clearly both analytically and graphically. Emphasis is placed on conceptual understanding, procedural fluency, and the use of technology (such as graphing calculators) to explore and verify solutions.

AP Calculus BC prepares students not only for the AP exam, which can earn them college credit or placement into advanced college math courses, but also for further studies in mathematics, engineering, physics, economics, and other STEM fields.