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.
• Fractions - basic ideas

What are fractions? What do fractions look like? What are equivalent fractions? What are the different types of fractions? This video explores all these concepts.
Length: 26 minutes
• Fractions - Multiplying and Dividing

This video shows how to multiply fractions and how to divide fractions by turning the second fraction upside down.
Length: 33 minutes
• Hyperbolic functions

Hyperbolic functions. The hyperbolic functions have similar names to the trigonometric functions, but they are defined in terms of the exponential function. This unit defines the three main hyperbolic functions and sketches their graphs. Inverse functions and reciprocal functions are also considered.
Length: 29 minutes
• Implicit Differentiation

Implicit differentiation . Sometimes functions are not given in the form y = f(x) but in a more complicated form where it is difficult to express y explicitly in terms of x. These are called implicit functions, and they can be differentiated to give dy/dx.
Length: 30 minutes
• Integration as a summation

Integration as summation . Integration may be introduced as a means of finding areas using summation and limits. This process gives rise to the definite integral of a function.
Length: 41 minutes
• Integration as the reverse of differentiation

Integration as the reverse of differentiation. Integration can be seen as differentiation in reverse; that is we start with a given function f(x), and ask which functions, F(x), would have f(x) as their derivative. The result is called an indefinite integral. A definite integral can be obtained by substituting values into the indefinite integral.
Length: 34 minutes
• Integration by Parts

Integration by parts. A special rule, integration by parts, can often be used to integrate the product of two functions. It is appropriate when one of the functions forming the product is recognised as the derivative of another function. The result still involves an integral, but in many cases the new integral will be simpler than the original one.
Length: 26 minutes
• Integration by substitution

Integration by substitution . There are occasions when it is possible to perform an apparently difficult piece of integration by first making a substitution. This has the effect of changing the variable and the integrand. With definite integrals the limits of integration can also change.
Length: 36 minutes
• Integration leading to log functions

Integration leading to log functions . The derivative of x is 1/x. As a consequence, if we reverse the process, the integral of 1/x is ln x + c. In this unit we generalise this result and see how a wide variety of integrals result in logarithm functions.
Length: 8 minutes
• Integration using a table of anti-derivatives

Integration using a table of anti-derivatives. Integration may be regarded as the reverse of differentiation, so a table of derivatives can be read backwards as a table of anti-derivatives. The final result for an indefinite integral must, however, include an arbitrary constant.
Length: 15 minutes