Master AP Calculus AB

Finding limits from graphs

Limit laws

Finding limits algebraically - direct substitution

Finding limits algebraically - when direct substitution is not possible

Squeeze theorem

l'Hospital's rule

Infinite limits - vertical asymptotes

Continuity

Intermediate value theorem

Definition of derivative

Estimating derivatives from a table

Power rule

Chain rule

Derivative of trigonometric functions

Derivative of exponential functions

Derivative of logarithmic functions

Product rule

Quotient rule

Derivative of inverse trigonometric functions

Implicit differentiation

Higher order derivatives

Slope and equation of tangent line

Critical number and maximum and minimum values

Curve sketching

Mean value theorem

Rectilinear motion: Derivative

Related rates

Optimization

Antiderivatives

Riemann sum

Definite integral

Fundamental theorem of calculus

U-Substitution

Integration using trigonometric identities

Trigonometric substitution

Average value of a function

Areas between curves

Volumes of solids with known cross-sections

Volumes of solids of revolution - Disc method

Volumes of solids of revolution - Shell method

Introduction to differential equations

Separable equations

Modelling differential equations

Slope fields