AP Calculus AB

Understanding exactly what limits are, how to compute them algebraically, and the definition of a continuous function.

Definition of the derivative, basic differentiation rules (power, product, quotient), and tangent lines.

The Chain Rule, implicit differentiation, and calculating derivatives of inverse trigonometric functions.

Related rates, straight-line motion (velocity and acceleration), and local linearity.

Mean Value Theorem, First and Second Derivative Tests, and optimization problems.

Riemann sums, the Fundamental Theorem of Calculus, and basic anti-derivatives including U-Substitution.

Slope fields, separable differential equations, and exponential models with differential equations.

Average value of a function, connecting position/velocity/acceleration using integrals, and Area/Volume problems.

Derivatives of parametric equations, area of polar regions, and vectors in the plane.

Convergence tests, Taylor series, and Maclaurin series.

Full length practice exams, comprehensive review packets, and AP testing strategies.