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Resource type Integration by parts
This leaflet explains integration by parts. This is a technique for integrating a product of two functions (two functions multiplied together). (Engineering Maths First Aid Kit 8.10)
Resource type Trig functions: cosecant, secant and cotangent
In this unit we see how the three trigonometric ratios cosecant, secant and cotangent can appear in trigonometric identities and in the solution of trigonometric equations. Graphs of the functions are obtained from a knowledge of sine, cosine and tangent. (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 Linearity rules of integration
This leaflet explains how to integrate the sum of two functions, and constant multiples of functions, using 'linearity rules'. (Engineering Maths First Aid Kit 8.8)
Resource type Differentiation for Economics and Business Studies Functions of One Variable (SOURCE)
Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of One Variable" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Resource type Trig functions: cosecant, secant and cotangent
In this unit we see how the three trigonometric ratios cosecant, secant and cotangent can appear in trigonometric identities and in the solution of trigonometric equations. Graphs of the functions are obtained from a knowledge of sine, cosine and tangent. (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 Boolean 02: The laws of Boolean logic
A video tutorial introducing the basic laws of logic i.e. double negative, idempotent, identity etc. There are 8 videos in the Boolean series. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Eva Szatmari and Catherine Griffiths, Birkbeck College, University of London and reviewed by Gill Whitney, Middlesex University. It is one of a series of 20 video resources funded by a sigma Resource Development grant.
Resource type Boolean 02: The laws of Boolean logic
A video tutorial introducing the basic laws of logic i.e. double negative, idempotent, identity etc. There are 8 videos in the Boolean series. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Eva Szatmari and Catherine Griffiths, Birkbeck College, University of London and reviewed by Gill Whitney, Middlesex University. It is one of a series of 20 video resources funded by a sigma Resource Development grant.
Resource type Graphs of the trigonometric functions
This leaflet gives graphs of the functions sine, cosine and tangent and notes some important properties. (Engineering Maths First Aid Kit 4.3)
Resource type Introduction to functions
A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. (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 Introduction to Functions - Part 1
IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. 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 Introduction to Functions - Part 2
IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. 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 Introduction to Functions - Part 3
IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. 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 Introduction to Functions - Part 4
IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. 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 Introduction to Functions - Part 5
IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. 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 Introduction to Functions - Part 6
IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. 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 Introduction to functions
A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions. (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 Limits of functions
In this unit, we explain what it means for a function to tend to infinity, to minus infinity, or to a real limit, as x tends to infinity or to minus infinity. We also explain what it means for a function to tend to a real limit as x tends to a given real number. In each case, we give an example of a function that does not tend to a limit at all. (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 Limits of functions
In this unit, we explain what it means for a function to tend to infinity, to minus infinity, or to a real limit, as x tends to infinity or to minus infinity. We also explain what it means for a function to tend to a real limit as x tends to a given real number. In each case, we give an example of a function that does not tend to a limit at all. (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 System of linear equations - Numbas
3 questions. First, two equations in two unknowns, second 3 equations in 3 unknowns, solved by Gauss elimination. The third two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Limits of functions
In this unit, we explain what it means for a function to tend to infinity, to minus infinity, or to a real limit, as x tends to infinity or to minus infinity. We also explain what it means for a function to tend to a real limit as x tends to a given real number. In each case, we give an example of a function that does not tend to a limit at all.
Resource type Differentiating sin(x) and cos(x) from first principles
After reading this text, and/or viewing the video tutorial on this topic, you should be able to differentiate the functions sin(x)and cos(x) from first principles.
Resource type The cosine function
Video for iPod. 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 sine function
Video for iPod. 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 tangent function
Video for iPod. 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 a cos x +b sin x = Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions can be expressed as a single trigonometric function.
Resource type Differentiation from first principles
After reading this text, and/or viewing the video tutorial on this topic, you should be able to understand the process involved in differentiating from first principles and differentiate some simple functions from first principles.

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