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Canllaw i Ystadegaeth: Ffeithiau Tebygoleg ac Ystadegaeth, Fformiwlâu a Gwybodaeth - Fersiwn arleinAn electronic Welsh language version of the Facts & Formulae leaflet for probablity and statistics designed to be viewed onscreen. A higher resolution print version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Cartesian components of vectorsAny vector may be expressed in Cartesian components, by using unit vectors in
the directions of the coordinate axes. In this unit we describe these unit
vectors in two dimensions and in three dimensions, and show how they can be
used in calculations.
Cartesian components of vectorsAny vector may be expressed in Cartesian components, by using unit vectors in
the directions of the coordinate axes. In this unit we describe these unit
vectors in two dimensions and in three dimensions, and show how they can be
used in calculations. (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.
Cartesian components of vectorsAny vector may be expressed in Cartesian components, by using unit vectors in
the directions of the coordinate axes. In this unit we describe these unit
vectors in two dimensions and in three dimensions, and show how they can be
used in calculations. (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.
Chain Rule examples - Numbas11 questions on the chain rule.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Chain rule practice - Numbas11 Questions on the chain rule. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Changing Courseware with Diagnostic TestingThe Mathematics Department at Keele University has pioneered the use of diagnostic testing linked to Computer-Based Learning (CBL) self study modules for students entering Principal Mathematics. In particular, the department has invested in the use of Mathwise modules to provide support materials. Recent advances in software have produced a new generation of courseware but there is considerable inertia in changing to such new material without some evidence that students will benefit. This case study considers this problem and considers how diagnostic testing can be used to decide when to update the courseware being used.
Combining algebraic fractions - Numbas13 questions on combining algebraic fractions. An area in which students often need practice.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Combining algebraic fractions - Numbas13 questions on combining algebraic fractions. An area in which students often need practice. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Communication and Presentation Skills Course PackThis Course Pack offers the resources from a course, titled Communication and Presentation Skills, which sought to teach students how to present numerate information, at an appropriate level, to various kinds of audience. The course sought to develop five key skills in particular: the communication of ideas through speech; the vocal skills needed to speak effectively; the verbal description of quantitative data; the oral interpretation of diagrams and graphs; and, engagement with the audience. The sessions involved active participation by the students, with teamwork an essential element. The materials for the Communication and Presentation Skills course were devised, written and delivered by Eileen Cunningham, Lesley Harper, Shamim Khan, Hendryk Korzeniowski, Gordon Blower and James Groves This resource is free for educational use at UK universities. It is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.
Community Project downloadsA zip file containing instructions, blank Word and LaTeX templates, metadata templates and graphics needed if you wish to contribute resources to the mathcentre Community Project
Community Project instructionsIntructions for contributing resources to mathcentre as part of the Community Project
Completing the squareThis leaflet illustrates the process of completing the square. (Engineering Maths First Aid Kit 2.26)
Completing the squareIt is often useful to be able write a quadratic expression in an alternative form - that is as a complete square plus or minus a number. The process for doing this is called completing the square. This booklet explains how this process is carried out.
Completing the square - an AnimationThis mathtutor animation shows how the quadratic equation for a parabola may be transformed by completing the square. This resource 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 - an AnimationThis mathtutor animation shows how the quadratic equation for a parabola may be transformed by completing the square. 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)
This resource 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.
Completing the Square - maxima & maximaCompleting the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
Completing the Square - maxima & maximaCompleting the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
Completing the square - maxima and minimaThis is a workbook which describes how to complete the square for a quadratic expression. It goes on to show how the technique can be used
to find maximum or minimum values of a quadratic expression.
Completing the square - NumbasTwo questions on completing the square. The first asks you to express $x^2+ax+b$ in the form $(x+c)^2+d$ for suitable numbers $c$ and $d$. The second asks you to complete the square on the quadratic of the form $ax^2+bx+c$ and then find its roots.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Completing the square - NumbasTwo questions on completing the square. The first asks you to express $x^2+ax+b$ in the form $(x+c)^2+d$ for suitable numbers $c$ and $d$. The second asks you to complete the square on the quadratic of the form $ax^2+bx+c$ and then find its roots. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Completing the Square (to find MAX and MIN values) Part 1Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
Completing the Square (to find MAX and MIN values) Part 2Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
Completing the Square (to find MAX and MIN values) Part 3Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
