AP Calculus

AP Calculus comes in two flavors. AB is roughly equivalent to a one-semester college Calculus I course and covers limits, continuity, derivatives, applications of derivatives, integrals, and the fundamental theorem of calculus. BC covers all of AB plus a second semester of material: integration techniques, parametric and polar functions, vectors, and infinite series. Both end in a three-hour AP exam in May with multiple choice and free response sections.

This is almost always a 12th-grade course, taken after precalculus. Students aiming for engineering, physics, computer science, or competitive STEM programs usually take BC; AB is plenty for most other paths. A 4 or 5 on the exam typically earns college credit, though policies vary by school. The course is graded as honors weight at most high schools, which matters for GPA-conscious families.

The conceptual leap in calculus is the limit — the idea that you can talk meaningfully about what a function approaches without it ever actually getting there. Most students stumble not on that idea itself but on the algebra and trig underneath it. If a kid can't factor quickly or doesn't know sin(π/3) without thinking, they will spend calculus drowning in setup work and never get to the calculus part.

For self-study or supplementing a class, the standard stack is: a textbook (Stewart or Larson), video lectures (Professor Leonard for depth, Organic Chemistry Tutor for quick problem walkthroughs), and a prep book in the spring (Princeton Review or Barron's). Have your student do timed past free-response questions starting in March; the College Board posts decades of them free. Scoring their own work against the rubrics is the single best preparation for the actual exam.