
Introduction to Calculus - Math is Fun
And Differential Calculus and Integral Calculus are like inverses of each other, similar to how multiplication and division are inverses, but that is something for us to discover later!
Calculus - Math is Fun
The word Calculus comes from Latin meaning small stone, because it is like understanding something by looking at small pieces.
Limits (An Introduction) - Math is Fun
Sometimes we cant work something out directly ... but we can see what it should be as we get closer and closer ... Lets work it out for x=1
Introduction to Derivatives - Math is Fun
It is all about slope! Slope = Change in Y / Change in X. We can find an average slope between two points. But how do we find the slope at a point?
Introduction to Integration - Math is Fun
Integration is a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and many useful things.
Fundamental Theorems of Calculus - Math is Fun
In simple terms these are the fundamental theorems of calculus: Derivatives and Integrals are the inverse (opposite) of each other.
L'Hopital's Rule - Math is Fun
LHpitals Rule can help us calculate a limit that may otherwise be hard or impossible. ... LHpital is pronounced lopital. He was a French mathematician from the 1600s.
Definite Integrals - Math is Fun
You might like to read Introduction to Integration first! Integration can be used to find areas, volumes, central points and many useful things.
Differential Equations - Introduction - Math is Fun
A Differential Equation is an equation with a function and one or more of its derivatives: Example: an equation with the function y and its...
Limits (Formal Definition) - Math is Fun
Sometimes we can't work something out directly ... but we can see what it should be as we get closer and closer!