The word Calculus comes from Latin meaning "small stone",
Because it is like understanding something by looking at small pieces.

Differential Calculus cuts something into small pieces to find how it changes.

Integral Calculus joins (integrates) the small pieces together to find how much there is.

small stones



Read Introduction to Calculus or "how fast right now?"


Limits are all about approaching. Sometimes you can't work something out directly, but you can see what it should be as you get closer and closer!

graph 1/x

Introduction to Limits

Limits and Infinity

Evaluating Limits

Limits (Formal Definition)


Continuous Functions   not continuous: jump

Derivatives (Differential Calculus)

The Derivative is the "rate of change" or slope of a function.

slope x^2 at 2 has slope 4

Introduction to Derivatives

Slope of a Function at a Point (Interactive)

Derivatives as dy/dx

Derivative Plotter

Derivative Rules

Second Derivative

Partial Derivatives


Finding Maxima and Minima using Derivatives

Concave Upwards and Downwards and Inflection Points

Implicit Differentiation

Taylor Series (uses derivatives)


Integration (Integral Calculus)

Integration can be used to find areas, volumes, central points and many useful things.

integral area

Introduction to Integration

Integration Rules

Integration by Parts

Integration by Substitution

Definite Integrals

Arc Length

Integral Approximations

Solids of Revolution by Disks and Washers

Differential Equations

In our world things change, and describing how they change often ends up as a Differential Equation: an equation with a function and one or more of its derivatives:

differential equation y + dy/dx = 5x

Introduction to Differential Equations

Separation of Variables

Solution of First Order Linear Differential Equations

Homogeneous Differential Equations


If you want more Calculus topics covered, let me know which ones.