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The double angle formulaeDouble 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)
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 double angle formulaeDouble 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.
The Education Drop-in Centre at the University of GlamorganThe education Drop-in Centre at the University of Glamorgan was established during the academic year 1996/97. Its aim has always been to provide generic study support for students with writing and study skills as well as mathematics and statistics skills. Since its creation the Centre has been through a variety of changes in terms of staffing and layout. It has grown steadily each year and now comprises of two sites and seventeen staff, three full-time administrators and fourteen part-time tutors. The Centre is seen to play a key part in retaining students and has become part of the fabric of the University.
The exponential formComplex numbers can be written in exponential form. This leaflet explains how this is done. (Engineering Maths First Aid Kit 7.7)
The form r(cos(t) + j sin(t))This leaflet explains how a complex number
can be written in the form
z=r(cos(t) + j sin(t)). (Engineering Maths First Aid Kit 7.5)
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.
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.
The Geometry of a Circle - Part 1IPOD VIDEO:
In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
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 Geometry of a Circle - Part 2IPOD VIDEO: In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
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 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.
The Gradient of a Straight Line Segment Part 3IPOD VIDEO:
In this unit we find the gradient of a straight line segment, and the relationships between the gradients of parallel lines and of perpendicular lines.
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 Gradient of a Straight Line Segment Part 2IPOD VIDEO:
In this unit we find the gradient of a straight line segment, and the relationships between the gradients of parallel lines and of perpendicular lines.
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 gradient of a straight line segmentIn this unit we find the gradient of a straight line segment, and the
relationships between the gradients of parallel lines and of perpendicular
lines.
(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.
The gradient of a straight line segmentIn this unit we find the gradient of a straight line segment, and the
relationships between the gradients of parallel lines and of perpendicular
lines.
(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.
The hyperbolic identitiesThis leaflet lists common identities involving the hyperbolic functions. (Engineering Maths First Aid Kit 3.6)
The impact of the mathematics support centre on the grades of first year students at the National University of Ireland Maynouth(FOR COPYRIGHT REASONS YOU MAY NOT BE ABLE TO ACCESS THIS LINK DIRECTLY.)
This paper, by Mac an Bhaird, Morgan & O'Shea, is an analysis of first year students' grades in the academic year 2007-2008. We compared the grades of students who attended the MSC and those who did not. To compare students of similar abilities, we split the groups (First Arts and First Science) up into smaller groups depending on their grades (Leaving Cert) at the end of second level. There was a significant difference in all sub groups. We then expanded by comparing the grades of students depending on the results of their proficiency tests. Again there was a significant difference. All students seems to benefit from support but this is particularly true for 'at-risk' students.
Teaching Mathematics and Its Applications (2009) 28,117-122 doi:10.1093/teamat/hrp014
The Internet Librarian and Curator of Mathematics VideosThis website links to selected, reviewed and academically-validated mathematics video tutorials. The vast size and lack of discrimination in the results of an internet search make it hard for students to identify suitable resources and to know whether they are relevant and reliable. This website was created by a pilot project led by Trevor Hawkes. This website is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.
The laws of indicesWhen a number is to be multiplied by itself, a power or index can be used to write this compactly. In this leaflet, we remind you of how this is done, and state a number of rules, or laws, which can be used to simplify expressions involving indices.
The Mathematics Learning Support Centre at Loughborough UniversityThe Centre was established in 1996 within the Department of Mathematical Sciences in order to underpin the Department's service teaching commitment to engineering undergraduates. In the first instance funding had been made available through an internal university learning and teaching initiative for a period of two years. Because of its early successes the Centre became a permanent feature in 1998 and now serves any student in the university who might benefit from additional resources, over and above those normally provided, to help them in their learning of basic mathematical techniques.
The Maths Revision Booklet as Part of a Programme of Support at University of Newcastle upon TyneComputer-based diagnostic testing has been used for new engineering students for some years at University of Newcastle upon Tyne. Follow-up support has been available only in some departments. In summer 2001, new students were issued (in advance or on arrival) with a â??Maths Revision Bookletâ?? covering the basic maths topics that we didnâ??t intend to teach. Following the diagnostic test, lunchtime classes were offered for six weeks, based on the booklet, for those students who wished to attend.We report on the student opinion, analysis of diagnostic and examination performance.
The modulus and argument of a complex numberThis leaflet explains how to calculate the modulus and argument of a complex number.
There are accompanying videos. Sigma resource Unit 9.
The modulus and argument of a complex numberThis video explains how to calculate the modulus and argument of a complex number. Sigma resource Unit 9.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
The modulus and argument of a complex numberThis mobile phone video explains how to calculate the modulus and argument of a complex number.
There is an accompanying leaflet.
The modulus and argument of a complex numberThis mobile phone video explains how to calculate the modulus and argument of a complex number. Sigma resource Unit 9.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
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.
The number 'e' - Trevor HawkesTrevor 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.
