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minus x minus = plus - Mike SavageThis mathtutor extention video explains how multiplying a negative number by another negative number gives a positive number. The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Completing the Square - by InspectionIn this unit we consider how quadratic expressions can be written in an equivalent form using the technique known as completing the square. This technique has applications in a number of areas, but we will see an example of its use in solving a quadratic equation.
(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.
Simultaneous Linear Equations Part 1The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
(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.
Introduction to vectorsA vector is a quantity that has both a magnitude (or size) and a direction.
Both of these properties must be given in order to specify a vector
completely. In this unit we describe how to write down vectors, how to add
and subtract them, and how to use them in geometry. (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.
Linearity rulesThis leaflet explains how to differentiate the sum of two functions, and constant multiples of functions, using 'linearity rules'. (Engineering Maths First Aid Kit 8.3)
Inverse functionsAn inverse function is a second function which undoes the work of the first
one. In this unit we describe two methods for finding inverse functions, and we also explain that the domain of a function may need to be restricted before an inverse function can exist. (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.
Imaginary numbers and quadratic equationsThis 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.
Imaginary numbers and quadratic equationsThis 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.
Integration using trig identities or a trig substitutionThis unit explains how trig identities and trig substitutions can help when finding integrals. (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.
The Gradient of a Straight Line Segment Part 1IPOD VIDEO: In this unit we use a system of co-ordinates to find various properties of the straight line between two points. We find the distance between the two points and the mid-point of the line joining the two points.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Polar co-ordinatesThe (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 (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
(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.
Solving Quadratic EquationsThis 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.
(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.
Introduction to differentiation 8.1 - PodcastPodcast to accompany the Quick Reference Engineering Maths First Aid Kit leaflet 'Introduction to differentiation 8.1' submitted under Creative Commons Licence BY-NC-SA to the mathcentre Community Project by Ciaran Mac an Bhaird, National University of Ireland Maynooth and reviewed by Ann O'Shea, National University of Ireland Maynooth.
Introduction to differentiation 8.1 - PodcastPodcast to accompany the Quick Reference Engineering Maths First Aid Kit leaflet 'Introduction to differentiation 8.1' submitted under Creative Commons Licence BY-NC-SA to the mathcentre Community Project by Ciaran Mac an Bhaird, National University of Ireland Maynooth and reviewed by Ann O'Shea, National University of Ireland Maynooth.
Exponential and logarithm functionsExponential functions and logarithm functions are important in both theory and practice. In this unit we look at the graphs of exponential and logarithm
functions, and see how they are related. (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.
Pascal's triangle and the binomial expansionA 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 tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly. (mathtutor video)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
The need for maths - Adrian SmithThis mathtutor extention video shows Adam Smith discussing the place of mathematics in society, it's importance and why students are not continuing to study mathematics. The report 'Making mathematics count' is also available. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Imaginary numbers and quadratic equationsThis mobile phone 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.
Integration by substitutionThere 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. When dealing with definite integrals,
the limits of integration can also change.
In this unit we will meet several examples of integrals where it is appropriate to make a substitution. (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.
Tangents and NormalsThis unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve.
The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is
perpendicular to the 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.
Integrating algebraic fractions (1)Sometimes the integral of an algebraic fraction can be found by first
expressing the algebraic fraction as the sum of its partial fractions. In this
unit we will illustrate this idea. We will see that it is also necessary to
draw upon a wide variety of other techniques such as completing the square,
integration by substitution, using standard forms, and so on. (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.
Substitution & FormulaeIn mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities; we can calculate the values of others. In this video we discuss several formulae and illustrate how they are used.
(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.
Substitution and Formulae Part 1IPOD VIDEO: In mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities; we can calculate the values of others. In this video we discuss several formulae and illustrate how they are used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Substitution and Formulae Part 2IPOD VIDEO: In mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities; we can calculate the values of others. In this video we discuss several formulae and illustrate how they are used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Substitution and Formulae Part 3IPOD VIDEO: In mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities; we can calculate the values of others. In this video we discuss several formulae and illustrate how they are used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Substitution and Formulae Part 4IPOD VIDEO: In mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities; we can calculate the values of others. In this video we discuss several formulae and illustrate how they are used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
