Calculus

small stones

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.

 

speedometer

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

Limits

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

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

Integration (Integral Calculus)

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

integral area

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

 

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