AP Calculus AB vs BC: which should you take?
AB and BC are the two AP Calculus courses. BC covers everything in AB and more. Here is how they compare and how to choose.
On this page
- The short answer
- What BC adds
- How the exams compare
- Is BC much harder than AB?
- How to choose
- How to do well in either course
- The same skills, side by side
- What a typical week looks like
- Signs BC is a good fit
- Signs AB is the better choice this year
- Practice questions
- Frequently asked questions
- Key takeaways
- A note on pace and wellbeing
- More questions students ask
- A quick self-check before choosing
- Precalculus self-check
- Where to go next
- Quick check
The short answer
AP Calculus AB is roughly equivalent to a first semester of college calculus. AP Calculus BC covers everything in AB plus extra topics, roughly equivalent to the first two semesters. If you are strong in precalculus and comfortable with a faster pace, BC is often the better choice. If calculus is new and you want time to build confidence, AB is a solid course.
What BC adds
Both courses share the same core: limits, derivatives, integrals and differential equations. BC adds two full units and some extra techniques inside the shared units:
- Parametric equations, polar coordinates and vector-valued functions
- Infinite sequences and series, including convergence tests and Taylor and Maclaurin series
- Extra techniques such as integration by parts, partial fractions, improper integrals, Euler's method, logistic growth and arc length
How the exams compare
Both exams have the same structure: a multiple-choice section and a free-response section, each with a part where a graphing calculator is allowed and a part where it is not. The BC exam includes AB topics as well as BC-only topics, and BC students also receive an AB subscore, which reflects their performance on the AB portion.
The College Board updates exam details from time to time, so check the current course and exam description on AP Central for the latest format.
Is BC much harder than AB?
BC is not harder topic by topic. The shared material is taught to the same depth. BC feels harder because it moves faster and adds series, which many students find the most abstract part of the course. Students who find algebra and functions easy usually manage the pace well.
How to choose
- Your precalculus: if functions, trigonometry and logs feel solid, BC is realistic.
- Your schedule: BC usually needs more homework time each week.
- Your plans: students heading for engineering, physics, maths or computer science often benefit from BC.
- College credit: many colleges award more credit for BC, but policies vary. Check the AP credit policy of the colleges on your list.
How to do well in either course
- Keep your algebra and trigonometry sharp; most lost marks start there.
- Practise free-response questions early and learn how answers are expected to be justified.
- Get comfortable with both calculator and no-calculator work.
- In BC, start series early and revisit it often.
The same skills, side by side
These examples show a typical AB question and a typical BC-only question, so you can judge which feels comfortable.
AB example: a definite integral
Evaluate ∫02 (3x² + 1) dx.
- Antiderivative: x³ + x.
- Evaluate: (8 + 2) − 0 = 10.
BC example: a Maclaurin series
Write the first three terms of the Maclaurin series for e2x.
- Start from eu = 1 + u + u²/2! + … and substitute u = 2x.
- 1 + 2x + (2x)²/2 = 1 + 2x + 2x².
BC example: a parametric derivative
A curve has x = t² and y = t³. Find dy/dx at t = 2.
- dy/dx = (dy/dt)/(dx/dt) = 3t²/(2t) = 3t/2.
- At t = 2, dy/dx = 3.
What a typical week looks like
- AB: new material at a steady pace, with time to practise each technique and plenty of review before the exam.
- BC: the AB material moves faster to leave room for series, parametric equations and polar coordinates. Expect more homework and less time to revisit topics in class.
If you choose BC, keep a weekly slot for mixed review of earlier units, because the pace makes it easy to forget the basics.
Signs BC is a good fit
- You found precalculus straightforward, especially functions, trigonometry and logarithms.
- You enjoy abstract ideas, such as whether an infinite sum has a finite value.
- You can keep up with a fast pace alongside your other subjects.
Signs AB is the better choice this year
- Your precalculus has gaps you want to fix while learning calculus.
- Your schedule is already heavy with other demanding courses.
- You want time to build a deep, confident understanding of the core ideas.
Practice questions
Try each one before opening the answer.
Q1. Find d/dx(sin(x²)). Is this an AB or BC skill?
Show answer
Q2. Find ∫x ex dx. Is this an AB or BC skill?
Show answer
Q3. Does Σ1/n² converge?
Show answer
Frequently asked questions
Can I switch from BC to AB during the year?
Many schools allow it early in the year. Ask your teacher or counsellor what your school allows.
If I take BC, do I also get an AB score?
BC students receive an AB subscore based on the AB portion of the exam.
Is BC worth it if I am not going into STEM?
Not necessarily. AB is a strong, respected course. Choose the one you can do well while keeping the rest of your schedule healthy.
Key takeaways
- BC covers everything in AB plus parametric, polar, vector and series topics.
- The shared material is taught to the same depth; BC is faster.
- Strong precalculus is the best predictor of success in BC.
- BC students also receive an AB subscore.
- Check college credit policies before deciding.
A note on pace and wellbeing
Choosing a course is not only about ability. A student who takes AB, understands it deeply and earns a 5 is in a stronger position than one who takes BC, falls behind and loses confidence. Be honest about your workload, your other commitments and how you learn best. Either course, done well, is excellent preparation for college maths.
More questions students ask
Is AB enough for college?
Yes for most majors. Students heading into engineering, physics or maths may benefit from BC or from taking the next calculus course in college.
A quick self-check before choosing
Try these without notes. If they feel comfortable, you have the precalculus foundation that BC's pace demands.
Precalculus self-check
Try each one before opening the answer.
Q1. Solve 2x = 16.
Show answer
Q2. Find the exact value of sin(π/6).
Show answer
Q3. Simplify (x² − 9)/(x − 3).
Show answer
Where to go next
Once you have chosen your course, map out what it covers and start building the skills that every unit relies on. These guides follow on naturally from this decision.
Quick check
A friend scored well in precalculus, enjoys abstract maths and has a manageable schedule. Which course would you suggest, and what should they check first?