--- title: "AP Calculus AB Tuition — Limits, Derivatives & FRQ Prep" slug: ap-calculus-ab-tuition subject: "AP Calculus AB" category: "Mathematics" url: https://www.apcourses.net/ap-calculus-ab-tuition --- # AP Calculus AB Tuition Online AP Calculus AB tuition on limits, derivatives, integrals and the Fundamental Theorem, with weekly FRQ practice marked to the College Board rubric. > AP Calculus AB is a single-variable calculus course covering limits, derivatives, integrals, and the Fundamental Theorem of Calculus, roughly equivalent to a first university semester. The exam mixes multiple-choice and free-response with calculator and non-calculator sections. We prepare students with CED-aligned weekly lessons, FRQ rubric drills, and timed past-paper practice so that the May exam feels familiar rather than new. ## At a glance - Category: Mathematics - Typical year group: Grades 10–11 - Exam length: 3 hours 10 minutes - Units in the College Board CED: 8 - Group course (2026–2027 academic year): Monday, 28 September 2026 – Monday, 26 April 2027 - Weekly pattern: Mondays & Wednesdays, 19:00–20:30 (Istanbul time) - Sessions: 50 total (40 lessons + 10 review/mock sessions) - Group course enrolment closes: 19 September 2026 - College Board exam date: 10 May 2027 ## Pricing Shown and charged in Euro. - Single lesson (90 min): €56 — full refund if you are not satisfied after the first lesson - 10-lesson package: €540 (€54 per lesson) - 20-lesson package: €1,028 (€51 per lesson) - Group course (8 months, 75 hours + 10 mock papers): €1,503 Lessons in the 10- and 20-lesson packages can be split freely across any AP subjects. ## Units 1. Limits and Continuity — exam weighting 10–15% 2. Differentiation: Definition and Fundamental Properties — exam weighting 10–15% 3. Differentiation: Composite, Implicit, and Inverse Functions — exam weighting 5–10% 4. Contextual Applications of Differentiation — exam weighting 10–15% 5. Analytical Applications of Differentiation — exam weighting 15–20% 6. Integration and Accumulation of Change — exam weighting 15–20% 7. Differential Equations — exam weighting 5–10% 8. Applications of Integration — exam weighting 10–15% Exam weightings as published by College Board in the Course and Exam Description. ## Exam at a glance - **Format**: Two sections: multiple-choice (MCQ) and free-response (FRQ) - **Calculator**: Permitted on some MCQ and some FRQ parts; banned on the rest - **Major topics**: Limits, derivatives, integrals, differential equations, applications - **Tested skills**: Procedural fluency, problem-solving, justification with calculus reasoning ## What it tests AP Calculus AB tests whether students can compute and reason with limits, derivatives, and definite integrals — and just as importantly, whether they can justify their answers using calculus language. The free-response section weights set-up, notation, and reasoning at least as heavily as the final numerical answer. Strong candidates can move fluently between graphical, numerical, analytical, and verbal representations of the same idea, and can interpret derivatives and integrals in applied contexts such as motion, rates, and accumulation. ## Where students lose marks - Setting up an FRQ correctly but losing rubric points by writing answers without units, justification, or correct calculus notation. - Mixing calculator and non-calculator strategies on the wrong part of the paper. - Stating that a function is increasing/decreasing or has an extremum without referencing the sign of the derivative. - Applying the Fundamental Theorem of Calculus without clearly identifying the antiderivative. - Differential equations problems where the initial condition is forgotten or the constant of integration is dropped. ## How tutoring helps - Diagnostic on derivative and integral fluency to find whether the issue is algebra, notation, or conceptual. - Targeted topic repair on the units the diagnostic flags (commonly Unit 6 integration and Unit 8 applications). - Weekly past-paper FRQs marked against the College Board rubric, focusing on justification language. - Calculator-active vs calculator-banned drilling so the student stops flipping strategy mid-question. - Spring revision plan that mixes full timed papers with targeted weak-topic boosters. ## Compared with A Level and IB AP Calculus AB overlaps substantially with the calculus components of A Level Mathematics (Pure 1–2) and IB Mathematics: Analysis & Approaches SL. The main differences are the FRQ justification style — AP awards explicit marks for calculus reasoning written in words — and the integration of graphical/numerical/analytical representations. UK and EU students often take AP Calculus AB alongside their main qualification as a second academic signal for US universities, especially for STEM applications. ## Who this suits - **Good fit**: Year 12/13 students taking A Level Maths or IB Maths AA who want to add a US-recognised calculus credential. - **Exam sprint**: Students within 8–12 weeks of the exam who can compute derivatives and integrals but lose marks on FRQ wording. - **Approach with caution**: Students still consolidating algebra and trigonometry — these gaps surface fast in derivative practice. ## Weekly study plan - **Weeks 1–3 — Limits and Continuity**: Definition of a limit, one-sided limits, asymptotes, conditions for continuity, the IVT and EVT. - **Weeks 4–6 — Differentiation: Definition & Basic Rules**: Definition of the derivative, power rule, product/quotient rule, chain rule, implicit differentiation. - **Weeks 7–9 — Differentiation: Composite, Implicit, Inverse**: Logarithmic differentiation, derivatives of inverse trig functions, related-rates problems. - **Weeks 10–12 — Contextual Applications of Differentiation**: Velocity–acceleration analysis, L'Hôpital's rule, optimisation, linear approximation. - **Weeks 13–15 — Analytical Applications & Curve Sketching**: First and second derivative tests, curve sketching, the Mean Value Theorem. - **Weeks 16–19 — Integration & Accumulation of Change**: Riemann sums, definite integrals, the FTC, antiderivative techniques, u-substitution. - **Weeks 20–22 — Differential Equations**: Slope fields, separable differential equations, exponential growth/decay models. - **Weeks 23–25 — Applications of Integration**: Area between curves, volumes (disk/washer/shell), average value of a function. - **Weeks 26–30 — Exam Prep Intensive**: AP Classroom past-paper sets, FRQ rubric work, timed full-length simulations. ## Frequently asked questions ### Should I take AP Calculus AB or AP Calculus BC? AB is roughly one university semester of calculus; BC adds series, parametric/polar functions, and more integration techniques. If you are aiming at STEM courses at competitive US universities, BC carries more weight. If you have done less calculus at school, AB is the safer path. ### Do I need a graphing calculator for AP Calculus AB? Yes — the exam has calculator-active sections and the College Board publishes an approved calculator list. We teach with the TI-84 Plus / Casio fx-CG family because they appear most often in our students' schools. ### How much does AP Calculus AB overlap with A Level Maths? Roughly 60–70% of the AB content overlaps with A Level Pure Maths calculus. The main gaps are the FRQ justification style, the calculator-active section, and AP-specific notation for accumulation and motion problems — all coachable within a focused programme. ## For parents We share a weekly progress note covering topics taught, FRQ scores against the AP rubric, and the planned focus for the next session, so parents always know what is next. ## Related AP subjects - [AP Calculus BC Tuition](https://www.apcourses.net/ap-calculus-bc-tuition) - [AP Precalculus Tuition](https://www.apcourses.net/ap-precalculus-tuition) - [AP Statistics Tuition](https://www.apcourses.net/ap-statistics-tuition) - [AP Physics C: Mechanics Tuition](https://www.apcourses.net/ap-physics-c-mechanics-tuition) ## Contact Free consultation: https://www.apcourses.net/contact All 31 AP subjects: https://www.apcourses.net/ap-tuition Pricing: https://www.apcourses.net/pricing