AP Calculus
Topic-based exam prep for both AP Calculus AB and BC. BC-exclusive topics are clearly marked.
Limits
Limit notation, algebraic techniques, L'Hôpital's rule, and squeeze theorem.
Continuity
Types of discontinuity, removable vs. non-removable, and the Intermediate Value Theorem.
Rules of Differentiation
Definition, power, product, quotient, chain rule, and implicit differentiation.
Applications of Differentiation
Related rates, optimization, curve sketching, and the Mean Value Theorem.
Integration & Accumulation
Riemann sums, definite integrals, and the Fundamental Theorem.
Integration Techniques
U-substitution, integration by parts, and trigonometric integrals.
Applications of Integration
Area between curves, volume of solids, and accumulation problems.
Parametric Equations BC
Derivatives and arc length for parametrically defined curves.
Polar Coordinates BC
Area and arc length in polar form.
Vector-Valued Functions BC
Motion in the plane, position, velocity, and acceleration vectors.
Convergence Tests BC
Geometric, p-series, ratio, and alternating series tests.
Power Series BC
Radius and interval of convergence, Taylor and Maclaurin series.