AP Calculus

Review Topics

    -    Functions

    -    Domian & Range

    -    Roots

    -    Composition

    -    Odd & Even

    -    Inverses

    -    Trig Values

    -    Trig Graphs

    -    Logarithms

    -    Limits

Trig Limits

Continuity

    -    Definition

    -    Types of discontinuities

Tangent Lines

Definition of derivative

Graphing Derivatives

Differentiability vs. Continuity

Techniques of differentiation

    -    Basic Rules

    -    Product rule

    -    Quotient rule

    -    Trig functions

Chain Rule

Special Theorems

    -    Intermediate Value Theorem

    -    Extreme Value Theorem

    -    Mean Value Theorem

    -    Rolle's Theorem

Rectilinear Motion

Implicit Differentiation

More Derivative Rules

    -    log_a x, ln x , a^x, e^x

    -    Inverse Trig Functions

Logarithmic Differentiation

Extreme values of functions

Optimization

Graphing using derivatives

    -    1st Derivative Test

    -    2nd Derivative Test

Related rates

Techniques of integration

    -    Basic

    -    u-substitution

Definite Integrals

Initial Value Problems

Fundamental Theorem of Calculus

Riemann sums

    -    Left, right, midpoint evaluations

Trapezoidal rule

Area

    -    Under a Curve

    -    Between Curves

Solids of revolution

Average value