Further reading: AP Calculus AB: limit mistakes
Master AP Calculus AB or BC with rigorous concept-based teaching. From limits to series, we build the mathematical reasoning College Board examiners reward with a 5.
Limit definition, limit laws, squeeze theorem, continuity, and the Intermediate Value Theorem. The conceptual foundation of calculus.
Definition of derivative, differentiation rules (power, product, quotient, chain), implicit differentiation, and related rates.
Mean Value Theorem, curve sketching, optimisation, linearisation, and L'Hopital's rule.
Riemann sums, Fundamental Theorem of Calculus, u-substitution, integration by parts (BC), and partial fractions (BC).
Area between curves, volumes of revolution (disc, washer, shell), and accumulation functions.
Convergence tests, Taylor and Maclaurin series, power series, radius and interval of convergence, and error bounds.
The AP exam tests both computational skill and conceptual understanding across two sections.
45 questions, 1 hour 45 minutes
6 questions, 1 hour 30 minutes
We teach calculus as a connected framework, not isolated procedures. Understanding the Fundamental Theorem deeply changes everything.
We train you to write FRQ responses the way the College Board wants. Proper justification is the difference between a 4 and a 5.
Knowing when and how to use your calculator saves critical time. We drill efficient calculator techniques for both sections.
We use real AP past exam questions exclusively. No generic worksheets. You practise exactly what you will face.
Parent + student welcome. No commitment, just a clear plan for the next steps.