AP Calculus AB,
limits to integrals.
The foundational AP calculus course. Limits, derivatives and integrals — the most popular AP maths and a prerequisite for virtually every US STEM degree. FRQ technique drilled to a perfect 5.
The first college-level calculus course. Limits, differentiation, integration and the Fundamental Theorem. Essential for every STEM pathway.
Calculus AB is the most popular AP maths — and the most predictable.
AP Calculus AB covers the equivalent of a first-semester college calculus course. The exam has a predictable structure — 45 MCQ questions plus 6 FRQs — and the content (limits, derivatives, integrals, differential equations, area/volume) repeats with modest variation year after year. This predictability makes it one of the most coachable APs.
Why FRQ technique matters
Section II FRQs are where most students lose the jump from a 4 to a 5. The rubric awards partial credit generously — but only if the work shown follows the specific format the College Board expects. We teach that format in week 1 and drill it every session.
The full content we cover in 1:1 lessons.
Every Times Edu AP Calculus AB mentor maps lessons directly to the College Board Course and Exam Description — nothing on the May exam is a surprise.
Limits & Continuity
Limits, squeeze theorem, continuity, IVT.
Differentiation: Definition
Tangent lines, differentiability, derivative rules.
Differentiation: Applications
Related rates, linearisation, L'Hôpital's rule.
Contextual Applications
Motion, related rates, optimization problems.
Analytical Applications
Mean value theorem, increasing/decreasing, concavity.
Integration: Accum & FTC
Riemann sums, definite integrals, FTC Parts 1 & 2.
Differential Equations
Slope fields, separation of variables, exponential models.
Applications of Integration
Area between curves, volumes of revolution, arc length.
Exactly what the May exam tests.
Knowing the format and rubric is half the battle. Here is the full breakdown of the AP AP Calculus AB exam.
Multiple Choice
45 questions — 30 no-calculator, 15 calculator. Tests breadth.
Free Response
6 FRQs — 2 calculator-required, 4 no-calculator.
Justify & Show Work
Every FRQ rewards specific notation and verbal justification.
1 – 5 Scale
Composite score mapped to 1–5. Score of 3+ earns college credit at many universities.
Why even strong students miss a 5.
These are the three traps we see most often in AP AP Calculus AB diagnostics — and every one is fixable with focused coaching.
Skipping justification
FRQ rubrics award 1–2 marks per question for verbal justification ("because f' changes sign"). Students who write only numbers lose those marks every time.
Calculator over-reliance
30 of 45 MCQ are no-calculator. Students who rely on TI-84 at school consistently underperform on the non-calculator section.
Weak FTC understanding
The Fundamental Theorem of Calculus is tested directly or indirectly on every exam. Students who memorise rather than understand it lose 8–12 points.
From diagnostic to May exam.
I went from a 3 on the diagnostic to a 5 on the real exam. My mentor drilled every FRQ format until I could do them in my sleep. The College Board rubric had zero surprises.
What families always ask about AP Calculus AB.
Have a question about your child? Book a free 60-minute diagnostic and our AP specialist will answer every one.
Is Calc AB enough for engineering or should my child take BC?
For most US engineering programmes, AB is sufficient — BC earns slightly more credit but is not required. If your child is aiming for MIT, Caltech or Stanford, BC is stronger. We advise during the diagnostic.
How is AB different from BC?
AB covers a first-semester college calculus course. BC covers both semesters — adding series, parametric and polar. The AB subset is embedded inside BC. We teach both.
Can a student with weak algebra succeed in Calc AB?
With preparation, yes — but we usually recommend 4–6 weeks of pre-calculus review before diving into limits. We assess this in the diagnostic.
How many hours per week should my child study?
Most of our Calc AB students book 2–3 sessions per week for 12–16 weeks before the May exam. We recommend the exact cadence after the diagnostic.
Ready to turn AP Calculus AB into a perfect 5?
Your child's free 60-minute AP diagnostic includes a full content gap analysis, a realistic score prediction and a week-by-week roadmap to the May exam. Worth $60 — free for the first 50 families.