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AP Calculus AB and BC

Both courses, unit by unit — one-to-one and online, with the AP Exam’s multiple-choice and free-response sections in view.

What this covers in detail

Limits and Continuity

Unit 1: limits, continuity, asymptotes and the Intermediate Value Theorem.

Differentiation

Units 2–5: the definition of the derivative, the rules, composite, implicit and inverse functions, and contextual and analytical applications.

Integration

Units 6 and 8: accumulation of change, the Fundamental Theorem of Calculus, techniques of integration, and area and volume.

Differential Equations

Unit 7: slope fields, separable equations and exponential models — plus Euler’s method and logistic models in BC.

BC only

Unit 9: parametric equations, polar coordinates and vector-valued functions. Unit 10: infinite sequences and series, including Taylor series.

AP Calculus AB covers a first semester of college calculus; BC covers the same eight units plus two more. Both exams test understanding as much as technique — why a result holds, not only how to compute it. These lessons build the technique and the justification together.

What this covers

AB or BC

Lessons follow the course you are taking — and help decide between them if you have not chosen.

Free response, scored properly

Free-response answers are graded on justification. Lessons use the published scoring guidelines so you learn what earns each point.

Calculator and no-calculator

Both sections have parts with and without a graphing calculator. Each is practiced on its own terms.

Pricing

Choose the support that fits.

One-to-one tutoring, from a single session to consistent weekly progress.

Your first 30 minutes are free.

Start with a free 30-minute assessment. We will understand what the student needs and recommend the right plan.

Every plan includes live one-to-one lessons.

The Noktua practice platform is free with every account — even if you have not booked a lesson yet.

  • Single Sessions

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    €40 / hour
    • ✓ 1-on-1 with your tutor
    • ✓ Personalised support for your questions
    • ✓ Session summary notes
    • ✓ No commitment
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    Continuous Learning

    For students who want consistent learning and steady progress.

    €30 / hour
    • ✓ Regular weekly lessons
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    • ✓ Custom study materials
    • ✓ Progress tracking & homework support
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  • 2-WEEK INTENSIVE

    Exam Preparation Sprint

    For students with an upcoming test or exam who need focused preparation over a short period.

    €34 / hour
    • ✓ 8 hours of focused tutoring over 2 weeks
    • ✓ Targeted revision of key topics
    • ✓ Exam-style exercises and practice
    • ✓ Custom study materials
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Lessons at the student's home carry an extra charge of €10/hour.

Common questions

Is BC much harder than AB?

BC moves faster and adds two units, most notably series. It is very manageable with a solid precalculus base.

Do you prepare for the AP Exam?

Yes — released free-response questions, timed practice and the Bluebook format.

Book your free 30-minute assessment

Tell us the year group and where it is going wrong. You will have a reply within 24 hours with a time.

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