How much AP Calc BC can we cover in a semester?

The full syllabus — with weekly sessions, most students finish with full past-paper coverage and score a 4 or 5.

Do you cover multivariable and vector calc?

Yes — partial derivatives, gradients, line and surface integrals, and Stokes'/Green's/Divergence theorems.

Calculus tutoring

From limits to Stokes' theorem — taught until it makes sense.

Whether you're staring down your first ε-δ proof or trying to visualise a triple integral in cylindrical coordinates, we teach the intuition first and the mechanics second.

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Levels covered

High school precalculus prep
AP Calculus AB & BC
University Calc I, II, III
Real analysis prep

Topics we cover

The full calculus syllabus.

Limits & continuity

\lim_{x \to a} f(x) = L

Derivatives

\frac{d}{dx} f(g(x)) = f'(g(x)) g'(x)

Integrals

\int f'(x)\, dx = f(x) + C

Series & convergence

\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

Multivariable

\nabla f = \left( \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right)

Vector calculus

\oint_{\partial S} \mathbf{F} \cdot d\mathbf{r} = \iint_S (\nabla \times \mathbf{F}) \cdot d\mathbf{S}

Sample problem

A classic FTC application

\frac{d}{dx} \int_{0}^{x^2} \sin(t^2)\, dt

Combine the Fundamental Theorem of Calculus with the chain rule to differentiate.

Exam preparation

We prep you for:

AP Calculus ABAP Calculus BCIB HL Analysis & ApproachesA-Level Pure MathCambridge STEPUniversity Calc I/II/III finals

FAQ

Calculus tutoring — questions

Yes — most students find rigorous limits confusing at first. We teach the geometric picture before the quantifiers, then bridge back.

Calculus

Ready to make calculus click?

Tell us your course and goals. We'll match you with the right tutor and put a first session on the calendar.

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