# Videos

Choose from over 80 mathematical videos.

Our team of top teacher mathematicians have put together all the important topics and explain them with the types of examples that you would find in a normal textbook or exam.
• #### Mathematical language

This video provides useful background material on the different mathematical symbols used in mathematical work. It also describes conventions used by mathematicians, engineers, and scientists.
Length: 21 minutes
• #### Maxima and minima

Maxima and minima. Because the derivative provides information about the gradient of a graph of a function, we can use it to locate points on a graph where the gradient is zero. Such points are often associated with the largest or smallest values of the function, at least in their immediate locality.
Length: 38 minutes
• #### Parametric Differentiation

Parametric differentiation. Instead of a function y(x) being defined explicitly in terms of the independent variable x, it is sometimes useful to define both x and y in terms of a third variable, t say, known as a parameter. Functions defined in this way can be differentiated using a technique called parametric differentiation.
Length: 21 minutes
• #### Partial_Fractions

This video looks algebraic fractions, adding and subtracting fractions and spliting fractions into partial fractions, It explains the meaning of the terms 'proper fraction' and 'improper fraction', and how to express an algebraic fraction as the sum of its partial fractions.
Length: 32 minutes
• #### Pascal's triangle and Binomial Expansion

A binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this video you will learn how Pascal's triangle can be used to obtain the required result quickly.
Length: 53 minutes
• #### Percentages

In this unit we shall look at the meaning of percentages and carry out calculations involving percentages. It covers finding percentages, finding the original before a percentage change, expressing a change as a percentage increase or decrease. It also looks at the use of the percentage button on calculators.
Length: 30 minutes
• #### Polar Co-ordinates

Polar co-ordinates . The (x, y) co-ordinates of a point in the plane are called its Cartesian co-ordinates. But there is another way to specify the position of a point, and that is to use polar co-ordinates. Conversion from Cartesian co-ordinates to polar co-ordinates, and back again, is explained.
Length: 37 minutes
• #### Polynomial Division

In order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This video describes this process using normal long division as a parallel example.
Length: 13 minutes
• #### Polynomial functions

Polynomial functions. Many common functions are polynomial functions. This unit describes polynomial functions and looks at some of their properties.
Length: 43 minutes
• #### Powers or Indices

Powers (also called exponents or indices) are a short way of writing multiplication of the same factor. A knowledge of powers, is essential for an understanding of most algebraic processes. In this section you will learn about powers and rules for manipulating them through a number of worked examples.
Length: 32 minutes