Do I need to complete the AP Calculus AB course first?

No. This course reviews the shared foundational material within its own modules, so it can be taken on its own by a student enrolled in an AP Calculus BC class.

Which topics are unique to BC and not covered in AB?

Series and sequences, parametric and polar functions, vector-valued functions, and certain additional integration techniques are unique to the BC course and are covered in dedicated modules.

Are convergence tests covered in depth?

Yes. The Infinite Sequences and Series module walks through the common convergence tests students are expected to know and includes practice applying them to a range of series types.

AP Exam Preparation

AP Calculus BC

High school students preparing for the AP Calculus BC exam.

AP Calculus BC extends the differential and integral calculus covered in AP Calculus AB with additional topics such as parametric equations, polar curves, and infinite series. Because the BC exam moves through more material, this course is organized so students can review the shared AB-level content efficiently before spending focused time on the topics that are unique to BC. Lessons connect new techniques back to concepts students already know, which helps make series and polar topics feel like natural extensions rather than entirely new subjects. Live webinars are available for the areas students most often find challenging, such as convergence tests.

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Suitability: Typically taken in grades 11 through 12, for students age 13 and older.
Delivery format: 100% online, self-paced with scheduled live webinars
Modules: 8
Practice activities: Included
Mock examinations: Included
Instructor webinars: Included

Course modules

Lessons are organized into modules that a student can complete in any order that fits their existing coursework, with the BC-specific modules building on the shared calculus foundation covered earlier in the course.

Limits, Continuity, and Differentiation Foundations

Reviewing limits and derivative rules that carry over from AB-level calculus.

Applications of Differentiation

Using derivatives to analyze motion, rates of change, and function behavior.

Integration and Accumulation of Change

The definite integral, the Fundamental Theorem of Calculus, and techniques of integration.

Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Differentiating and integrating functions defined parametrically or in polar form.

Infinite Sequences and Series

Understanding convergence and divergence, and applying common series tests.

Taylor and Maclaurin Series

Building polynomial approximations of functions and estimating error.

Differential Equations

Modeling with differential equations, including slope fields and separable equations.

Applications of Integration

Using integrals to compute area, volume, and arc length in more advanced contexts.

Practice format

Topic-based practice sets let students separate review of shared AB-level material from focused practice on BC-only topics like series convergence, with explanations provided for every problem.

Mock exam format

Full-length mock exams are structured to reflect the general format and pacing of the AP Calculus BC exam, covering both the shared and BC-specific topic areas across multiple-choice and free-response style sections.

Webinar format

Live webinars led by an AP Calculus BC instructor focus on the topics unique to the BC exam, such as series convergence tests and polar area, and include time for students to ask questions.

Written questions

Students can submit a written question through the platform at any time, and responses are delivered through private platform messages, so getting help never requires appearing on camera.