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Resource type The double angle formulae
Double angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Using a table of derivatives
In this unit we construct a Table of Derivatives of commonly occurring functions. This is done using the knowledge gained in previous units on differentiation from first principles. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Fractals - Stuart Price
In this mathtutor extension video, Stuart Price explains the concepts of fractal geometry and illustrates a number of practical applications. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Linear relationships
In many business applications, two quantities are related linearly. This means a graph of their relationship forms a straight line. This leaflet discusses one form of the mathematical equation which describes linear relationships.
Resource type Integration by parts
A special rule, integration by parts, is available for integrating products of two functions. This unit derives and illustrates this rule with a number of examples. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Integration that leads to log functions
This unit is concerned with integrals which lead to logarithms. Whenever the integrand is fraction with denominator f(x) and numerator f'(x) the result of integrating is the natural logarithm of f(x). This unit illustrates this behaviour with several examples. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Economics Facts & Formulae - Onscreen version
An electronic version of the Facts and Formulae leaflet for economics designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Resource type Using a table of derivatives
In this unit we construct a Table of Derivatives of commonly occurring functions. This is done using the knowledge gained in previous units on differentiation from first principles. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The form Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions e.g.3 cos x plus 4 sin x, can be expressed as a single trigonometric function. Having the ability to do this enables us to solve trigonometric equations and find maximum and minimum values. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Integration that leads to log functions
This unit is concerned with integrals which lead to logarithms. Whenever the integrand is fraction with denominator f(x) and numerator f'(x) the result of integrating is the natural logarithm of f(x). This unit illustrates this behaviour with several examples. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The exponential constant e
This leaflet gives some basic information about the constant e. It shows graphs of the exponential function. (Engineering Maths First Aid Kit 3.4)
Resource type Solving trigonometrical equations
The strategy we adopt in solving trigonometric equations is to find one solution using knowledge of commonly occurring angles and then use the symmetries in the graphs of the trigonometric functions to deduce additional solutions. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The number 'e' - Trevor Hawkes
Trevor Hawkes discusses the number 'e', its relationship to other numbers - 0, pi and i - and its relevance to everyday life. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The number 'e' - Trevor Hawkes
Trevor Hawkes discusses the number 'e', its relationship to other numbers - 0, pi and i - and its relevance to everyday life. The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The form Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions e.g.3 cos x plus 4 sin x, can be expressed as a single trigonometric function. Having the ability to do this enables us to solve trigonometric equations and find maximum and minimum values. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Economics Fact & Formulae - Large Print version
A large print version of the Economics Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 5 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
Resource type Solving simple linear equations - Numbas
2 equations, both linear (the second needs a small amount of algebra to reduce to a linear equation). Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Solving trigonometrical equations
The strategy we adopt in solving trigonometric equations is to find one solution using knowledge of commonly occurring angles and then use the symmetries in the graphs of the trigonometric functions to deduce additional solutions. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Economics Facts & Formulae - Print version
This is a high resolution electronic copy of the Economics Facts & Formulae Leaflet. It is designed to be printed on A4 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre.
Resource type Facts & Formulae - Onscreen version
An electronic version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Resource type 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. In this unit we explain how such functions can be differentiated using a process known as parametric differentiation. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type 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. In this unit we explain how such functions can be differentiated using a process known as parametric differentiation. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Sine, cosine and tangent of an angle of any size
This unit explains how we define the trig ratios sine, cosine, and tangent for an angle of arbitrary size.
Resource type Facts & Formulae - Print version
This is a high resolution electronic copy of the Facts & Formulae Leaflet. It is designed to be printed on A3 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre.
Resource type Differentiation of the logarithm and exponential functions
In this unit the natural logarithm function and the exponential function are differentiated from first principles.
Resource type Facts & Formulae - Large Print version
A large print version of the Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 11 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.

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