We could jump straight into learning Calculus, but it wouldn't be a good idea. The better idea is to review the fundamental mathematics concepts like the numbers, arithmetic, functions, function graphs, trigonometry and geometry. This is what pre-calculus is all about.

Let us begin from first principles:

Math is a lot more than pre-calculus, but for the purpose of understanding derivatives, the above topics are all that you need.

The good news is that you probably already know most of this material, if not clearly then at least in some intuitive manner. You may have forgotten about some things, but you will be able to remember them very quickly once we get started.

The bad news is that you may have some “math baggage” which you have to deal with. Students who learn math by rote and under pressure to perform on exams are psychologically damaged and have a fear towards the subject of mathematics.

If thoughts like “I'm not good at math” are turning around in your head as you read this, then slap yourself on the face and snap out of it! All I'm saying is that for the next couple of pages you will feel a little “uneasiness” as you will be working on math. Deal with it, and do not follow any preconceptions you might have about the subject and your ability at it.

OK. Let us get started and solve us some math equations.