If you are a relative newcomer to the wide and wonderful field of mathematics, you may have seen such symbols as "x", "n", "y", "a" or "b" in otherwise normal math problems, such as 5=16-x. If you are a novice mathematician in training, you most likely know all about variables, and if you are a Read More

pythagoras history

Who was Pythagoras ?

Pythagoras of Samos (Below Right, holding book) was a Greek philosopher and mathematician, who lived from somewhere around 569 BC to around 475 BC. He is known as the "father of numbers", though he also made contributions to philosophy, ethics, politics, music, metaphysics and religion. He believed Read More

Trigonometry ratios

Trigonometry: The Ratios

Remember this? It's the "Basic" Triangle used to in trigonometry. (See Above) Angle C is 90 degrees. It is not used in the ratios, except to determine the hypotenuse. The Ratios are: Sine, abbreviated "Sin" and pronounced "Sign". It is the ratio between an angle's (not C, which is the right Read More


What is Trigonometry ?

Trig, in the lowest form, is using various ratios that are pre-recorded into your calculator as lists to find the lengths of various sides of a trinagle based on one of the angle's values. Think of Trig like the Pythagorean Theorem on steroids. No longer do you need two of the sides of a Read More

Systems of Linear Equations Graph

What Are Systems of Linear Equations?

Systems of linear equations are two (or sometimes more) linear equations that normally intersect at a single point. This is essentially just two lines on a single graph, and where they intersect is the solution to the system. There are two main ways of solving the system (here, "solving" means Read More


Writing Math – The Right Way

Many people are confused by how to express various things in math, or how to express them using a computer when certain formats are unavailable. This guide will attempt to help explain what various symbols mean. Exponents Normally an exponent is written in "superscript", that is a smaller version Read More


The Cardinality of Sets

Every set has to have a number of elements in it- for example, the set {1,2,3,4,5} has five elements in it. The set {0} has 1 element in it. The set {Bob, Sue, Mary} has 3 elements in it. The number of elements in a set is called the Cardinal Number, and it is normally reffered to as cardinality. Read More


What is Set Builder Notation ?

Set builder notation is another way of writing out a set. As you already know, normally your write out a set as a list of all the elements in a set, seperated by commas, with curly brackets around them, such as {1,2,3}. There is, however, another way of writing a set, one which is sometimes shorter Read More