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

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


Set Theory

Sets are an important concept in mathematics (and computers), but arn't often taught in schools. Here you can learn the basics of sets and the applications of sets to venn diagrams. Introduction to Sets Set Builder Notation Union of Sets Intersection of Sets Cardinality of Sets Venn Read More



Permutations are very important in Algebra. They are most often used for finding probabilities or the number of ways something can be arranged. In fact, a permutation is simply the number of different ways a set can be arranged. An Example of a Permutation One of the most used examples of a Read More