AP Calculus AB vs BC: What’s the Difference?
AP Calculus AB ≈ one semester of college calculus. BC ≈ two semesters. BC includes everything in AB plus more topics.
Quick answer
Take AB for a solid intro and one semester of credit. Take BC if you’re a strong math student, want sequences/series, and want two semesters of credit. BC students also get an AB subscore.
What’s in AB
- Limits and continuity
- Derivatives (rules, applications, related rates, optimization)
- Definite and indefinite integrals
- Fundamental Theorem of Calculus
- Applications: area, volume by disks/washers
What BC adds
- Integration by parts, partial fractions, improper integrals
- Parametric, polar, vector-valued functions
- Sequences and series, Taylor and Maclaurin
- Logistic differential equations
- Arc length and surface area
Important: BC isn’t harder than AB on shared material — it’s broader.
How to choose
- Take AB if you’re new to calculus.
- Take BC after AB, or if your math background is strong.
- Take BC for potential 2 semesters of college credit.
Common mistakes
- Thinking BC is “harder.”
- Skipping AB review for BC.
- Underestimating series.