What is the Difference Between Calculus AB and BC?

The main difference between Calculus AB and Calculus BC lies in the scope of topics covered and the pace of the courses. Both courses cover calculus topics, but Calculus BC is more advanced and covers a wider range of topics than Calculus AB. Here are the key differences between the two:

1. Scope of Topics: Calculus AB covers the first semester of calculus (Calculus I), while Calculus BC covers the first two semesters (Calculus I and II). All topics in Calculus AB are also found in Calculus BC, but Calculus BC goes further by touching on additional mathematical concepts.
2. Pace: Calculus BC is a more fast-paced course than Calculus AB because it includes more concepts. Calculus AB focuses on topics taught in a first-semester college-level calculus course, while Calculus BC focuses on topics covered in both first- and second-semester college-level calculus courses.
3. Prerequisites: Both courses require a similar background in mathematics, including geometry, trigonometry, analytic geometry, and elementary functions.
4. College Credit: Students passing the Calculus AB exam can earn college credit for Calculus I, while students passing the Calculus BC exam can earn college credits for both Calculus I and Calculus II, depending on the college.

In summary, Calculus AB is an introductory college-level course that covers derivatives, definite integrals, and the fundamental theorem of calculus. Calculus BC is a more advanced course that covers the same topics as Calculus AB, along with additional integration techniques, series, vectors, and polar curves. The choice between the two courses depends on your math background, future plans, and the pace of the course.

Comparative Table: Calculus AB vs BC

The main difference between Calculus AB and Calculus BC is the scope of the topics covered. While both courses explore the same concepts and applications, Calculus BC covers more content than Calculus AB. Here is a table summarizing the differences between Calculus AB and BC:

Both Calculus AB and Calculus BC require students to apply the same skills, and the prerequisites needed for both courses and exams are comparable.