Everything in AB plus the BC-only topics that students consistently underprepare for.
AP Calculus BC reuses the entire AB curriculum and then adds parametric/polar calculus, sequences and series, and Taylor polynomials — and historically the BC-only units account for roughly 40% of the FRQ section. Our BC track marks every BC-only topic clearly so you can skip review of material you already know and focus on series convergence tests, Lagrange error bounds, and polar area integrals.
We pay particular attention to the alternating series remainder and Lagrange error bound questions, which appear almost every year and are where strong AB students lose points moving up to BC. Each interactive lesson includes a 'common pitfall' callout drawn from real AP examiner feedback.
Master AP Calculus BC
Interactive lessons for all 10 units: every AB topic plus series, parametric equations, polar coordinates, and advanced integration — everything you need to score a 5.
Start here
Take the free AP Calculus BC diagnostic
It finds what you already know and builds your study plan: the topics to clear first, each a short lesson plus an exit quiz.
Take the free diagnosticInteractive Lessons
Step-by-step lessons covering all Calc AB topics plus series, parametrics, polar, and advanced integration.
Diagnostic Test
Quick assessment across all Calc BC topics including BC-only material with AP score prediction.
Unit Tests
Drill a single AP unit at a time. 10 units · 4 different variations each — perfect for end-of-unit review.
Flashcards
Review series convergence tests, parametric/polar formulas, advanced integration techniques, and theorems.
Competitive Mode
Challenge other students in real-time calculus battles — derivatives, integrals, and series.
Daily question
A fresh AP Calculus BC question every day covering AB and BC-only topics.
Exit Quizzes
Short assessments after each lesson to confirm understanding before moving on.
FRQ Practice
Practice BC free-response questions (series, parametric and polar, advanced integration, differential equations) with rubrics and timed exam simulation. 50% of the AP exam.
Full-Length Practice Exam
42 MCQs + 6 FRQs in the May 2027 format, across all 10 units (including parametric/polar and series). Calculator + no-calculator sections, timed, with self-graded rubrics.
What's Covered
Units 1–5: Limits and Derivatives (AB)
- Limits & Continuity
- Derivative Rules, Chain Rule & Implicit Differentiation
- Motion, Related Rates & L’Hospital’s Rule
- Mean Value Theorem, Extrema & Optimization
Units 6–8: Integration, Differential Equations & Applications
- Riemann Sums, the FTC & u-Substitution
- Integration by Parts, Partial Fractions & Improper Integrals (BC)
- Slope Fields, Euler’s Method & Logistic Growth (BC)
- Area, Volume & Arc Length (BC)
Unit 9: Parametric & Polar
- Parametric Equations
- Vector-Valued Functions
- Polar Coordinates
- Area in Polar
Unit 10: Infinite Series
- Convergence Tests
- Taylor & Maclaurin Series
- Power Series
- Radius of Convergence
- Error Bounds
About the AP Calculus BC Exam
Format
- • Section I: 42 MCQs in 100 minutes
- • Part A: 29 no-calculator (62 min)
- • Part B: 13 graphing calculator (38 min)
- • Section II: 6 FRQs in 90 minutes
- • Also receive an AB sub-score
Scoring
- • Score range: 1–5
- • 5 = Extremely well qualified
- • ~44% of students score a 5
- • No penalty for guessing
- • Many colleges give 2 semesters credit