Grades 11–12 · High School

AP Calculus AB/BC

Limits, derivatives, integrals — taught the way the AP exam actually asks them.

Length120 minutes · once a week
Tuition$800 / month
Location226 W 79th St, UWS
FormatIn-person · max 6 students
Marcelo Ambrozio, lead math teacher at School of Math

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Marcelo Ambrozio

Co-Founder & Lead Math Teacher

MBA · B.S. Applied Mathematics, Northwestern · 20 years coaching MIT, Harvard & Stanford candidates. Meet the team →

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AP Calculus AB/BC · Grades 11–12

$800 / month — tuition (recurring) · $99 one-time registration (placement test, written diagnostic, learning plan)
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Want to talk first? Call (646) 668-6151 or book a free 30-minute evaluation.

About the course

What students learn

AP Calculus AB or BC for 11th–12th graders. We cover limits and continuity, derivatives and their applications, integrals and their applications, and — for BC students — sequences, series, and parametric/polar/vector functions. Every class is aligned to the College Board syllabus and finishes with free-response drills graded on the same rubric as the AP exam.

A typical class

Sample class format · 120 minutes

Every AP Calculus AB/BC class follows the same structure so students walk in knowing what to expect and walk out with a corrected mini-quiz in hand.

0:00 – 0:30
30 min

Puzzles & Enigmas

Warm-up with logic puzzles, math riddles, and short brain-teaser problems. The point is to switch the brain on without yet introducing today’s topic — students arrive at different focus levels and this 30-minute block evens the room.

0:30 – 1:00
30 min

Subject — concept & guided practice

First half of today’s topic. One AP Calc topic per meeting — limits, derivative rules, applications, integration techniques, or series. Concept-first: the instructor demonstrates one or two worked examples, then students try guided practice with the teacher walking the table.

1:00 – 1:05
5 min

Brain break

A short break — water, stretch, a quick chat. Five minutes is enough to reset focus without losing the rhythm of the class.

1:05 – 1:30
25 min

Subject — word problems & applications

Second half of the topic, focused on word problems and applications — the place where rote calculus turns into real understanding. Examples we use: computing instantaneous speed from a position function (derivatives); finding the area under a velocity curve (what an integral really means); related rates with shadows, ladders, and conical tanks.

1:30 – 2:00
30 min

Mini-quiz — corrected in class

A short timed mini-quiz on today’s topic, then we correct it together — question by question, out loud, with the right strategy spelled out for each item. Parents get the corrected paper at the end of the session so they know exactly where their child stands.

Syllabus arc

24-class rolling syllabus

Courses are rolling — a student can join at any class and continue without losing the thread. Here’s the full topic arc:

Class1Limits — graphical, numerical, and algebraic.
Class2One-sided limits and limits at infinity.
Class3Continuity and the Intermediate Value Theorem.
Class4Definition of the derivative.
Class5Power, product, and quotient rules.
Class6Chain rule and composition.
Class7Implicit differentiation.
Class8Related rates.
Class9Linear approximations and differentials.
Class10Mean Value Theorem and the first/second derivative tests.
Class11Optimization problems.
Class12Curve sketching and concavity.
Class13Antiderivatives and indefinite integrals.
Class14The Fundamental Theorem of Calculus.
Class15Definite integrals and Riemann sums.
Class16Substitution and basic integration techniques.
Class17Area between curves.
Class18Volumes — disks, washers, and shells.
Class19Average value and arc length.
Class20Differential equations and slope fields.
Class21Sequences and series (BC) — convergence tests.
Class22Taylor and Maclaurin series (BC).
Class23Parametric, polar, and vector functions (BC).
Class24Full AP free-response practice with rubric scoring.

Frequently asked

Common questions from parents

How large are SOMATH classes?

Every SOMATH class is capped at 6 students. That is the number that lets one teacher see every student's work in real time, correct silent mistakes before they become habits, and pace to the room instead of the average. Larger groups defeat the whole point of small-group teaching, so we hold the cap firmly.

Where do classes meet?

In person at 226 W 79th Street, 1st Floor, New York, NY 10024 — one block from the 79th Street 1 train and a short walk from the B and C at 81st Street. We do not offer online classes; the small-group model relies on shared whiteboard work and in-room feedback.

What is included in registration?

$99 one-time registration covers a placement test, a written diagnostic, and a personalized learning plan delivered within 48 hours. Workbooks, problem sets, and printed practice tests are included at no extra charge. The $99 registration is separate from monthly tuition.

Can we pause or cancel?

Yes. Cancel anytime with 15 days written notice — no long-term contract. Up to 4 weeks of free pause per year to cover travel or family events, and one free make-up per month for a missed class (subject to available seats in another cohort).

Do you offer a free trial or evaluation?

Yes. Every new family starts with a free 30-minute evaluation in our classroom plus a written diagnostic delivered within 48 hours. There is no charge and no commitment — the diagnostic is yours to keep whether you enroll or not. Book at schoolofmath.us/evaluation or call (646) 668-6151.

Do you cover both AP Calculus AB and BC?

Yes. The course sequence covers everything on both the AP Calculus AB and AP Calculus BC exams. Students preparing for AB stop after unit 8; students preparing for BC continue through parametric equations, polar coordinates, and infinite series. We calibrate the syllabus to each student's target exam during the first month.