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Resource type Quadratic Equations 4
This unit is about the solution of quadratic equations. These take the form ax2+bx+c = 0. We will look at four methods: solution by factorisation, solution by completing the square, solution using a formula, and solution using graphs.
Resource type Trig ratios in a right angled triangle
Knowledge of the trigonometric ratios of sine, cosine and tangent is vital in very many fields of engineering, science and maths. This unit introduces them and provides examples of how they can be used to solve problems. (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 Second Order Ordinary Differential Equations (SOURCE)
A zip file containing the LaTeX source files and metadata for the Teach Yourself leaflet on Second Order Differential Equations: A summary of how to solve second order ODEs with constant coefficients: how to solve homogeneous equations (with no right hand-side) and how to solve equations with a right hand-side (method of undetermined coefficients and methods of variation of parameters). This Teach Yourself resource is contributed to the mathcentre Community Project by Morgiane Richard, University of Aberdeen and is reviewed by Shazia Ahmed, University of Glasgow.
Resource type Diagnostic Test: Indefinite Integration - Numbas
16 questions: Inverse of differentiation, substitution, inverse trig functions, partial fractions and by parts. For those that want a thorough testing of their basic techniques in integration. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Quadratic equations 2
This leaflet explains how quadratic equations can be solved using the formula. (Engineering Maths First Aid Kit 2.15)
Resource type Simple Linear Equations
In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x2, x3, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. (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 Linear Equations in One Variable Part 1
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Equations in One Variable Part 2
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Equations in One Variable Part 3
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Equations in One Variable Part 4
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Equations in One Variable Part 5
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Equations in One Variable Part 6
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Equations in One Variable Part 7
IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. 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 Simple Linear Equations
In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x2, x3, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential. (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 First order differential equations - Numbas
9 questions on first order differential equations. Straight forward integration (2), separating variables (4), linear (1), homogenous (2). All are either initial value or boundary value problems. 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 Imaginary numbers and quadratic equations
This mobile phone video shows how the imaginary number i can be used in the solution of some quadratic equations.
Resource type Millenium Bridge - James Robinson
This mathtutor extension describes the effect of resonance on bridges and how differential equations may be used to calculate the effects. 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 Quadratic equations
This booklet explains how quadratic equations can be solved by factorisation, by completing the square, using a formula, and by drawing graphs.
Resource type Differential Equations Test 01 (DEWIS)
Four questions on second order linear constant coefficient differential equations. The first two involve identifying the complementary function, the third involves applying initial conditions and the fourth involves finding a particular solution with either linear or sinusoidal forcing. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Resource type Simultaneous linear equations - an Animation
This mathtutor animation shows how solutions to simultaneous linear equations may be found. 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 Quadratic equations 1
This leaflet explains how to solve a quadratic equation by factorisation. (Engineering Maths First Aid Kit 2.14)
Resource type Getting started with data manipulation in Microsoft Excel
This is one of four "Getting started with ..." developed by Cheryl Voake-Jones and Emma Cliffe from the Mathematics Resources Centre at the University of Bath covering equations in Microsoft Excel. The resource includes an audio tutorial with transcript and associated files. These resources were developed with funding from sigma.
Resource type Using the inverse matrix to solve equations
This leaflet explains how simultaneous linear equations can be solved by calculating the inverse of an appropriate matrix. (Engineering Maths First Aid Kit 5.6)
Resource type Imaginary numbers and quadratic equations
This leaflet shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2.
Resource type Imaginary numbers and quadratic equations
This video shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Resource type Imaginary numbers and quadratic equations
This video shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.

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