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The Chain RuleA special rule, the chain rule, exists for differentiating a function of another function. This unit illustrates this rule. (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 Changing Relationship: Civil/Structural Engineers and MathsMathematics is vital for civil engineers but its role is changing. Arup chairman Duncan Michael [1] has argued for less emphasis on the teaching of mathematics. Here we report on a necessary change of emphasis but also argue the importance of a good mathematical education for all engineers
The complex conjugateThis video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
The complex conjugateThis mobile phone video explains what is meant by the complex conjugate of a complex number. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
The complex conjugateThis video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
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 effectiveness of a special mathematics course for improving the transition from secondary education to higher professional educationThis paper reports upon "the mathematics problem" experienced in some universities in the Netherlands. A mathematics course was designed to tackle the problem. The paper reports upon its effectiveness.
The paper was presented as part of the SoTL conference through the European Association for Research on Learning and Instruction.
The exponential constant eThe letter e is used in many mathematical calculations to stand for a particular number known as the exponential constant. This leaflet provides information about this important constant, and the related exponential function.
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 extent of mathematics learning support in UK higher education—the 2012 surveyGlynis Perkin, Tony Croft and Duncan Lawson. (2013) The extent of mathematics learning support in UK higher education—the 2012 survey. Teaching Mathematics Applications, 32 (4), 165-172 doi:10.1093/teamat/hrt014.
Many higher education institutions have introduced some kind of mathematics learning support provision in response to the well-documented ‘mathematics problem’. In 2001 and 2004 two independent studies were undertaken to assess the number of universities offering mathematics learning support to students in addition to that provided through lectures, tutorials and the personal tutorial system. The results of these surveys showed a growth in the number of institutions providing support from 46 to 66. In this article we report on a survey carried out in 2012 to establish the current position regarding the provision of mathematics learning support in UK universities. In addition to determining the number of institutions providing mathematics learning support—there has been a further rise to 88—the article analyses the distribution of mathematics learning support by university mission group and by the type of support provided. The main findings are that the extent of mathematics learning support provision is largely independent of mission group and the dominant provision is drop-in support.
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 circleIn 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. (Mathtutor Video Tutorial)
The geometry of a circleIn 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. (Mathtutor Video Tutorial)
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 graph of a functionThis leaflet reminds students of important conventions associated with graph plotting.
It explains the terms dependent variable and independent variable.(Engineering Maths First Aid Kit 3.2)
The hyperbolic functionsThis leaflet gives definitions of the hyperbolic functions in terms of exponential functions.
Graphs of the hyperbolic sine, cosine and tangent are illustrated. (Engineering Maths First Aid Kit 3.5)
The hyperbolic identitiesThis leaflet lists common identities involving the hyperbolic functions. (Engineering Maths First Aid Kit 3.6)
The impact of maths support tutorials on mathematics confidence and academic performance in a cohort of HE Animal Science studentsStudents embarking on a bioscience degree course, such as Animal Science, often do not have sufficient experience in mathematics. However, mathematics forms an essential and integral part of any bioscience degree and is essential to enhance employability. This paper presents the findings of a project looking at the effect of mathematics tutorials on a cohort of first year animal science and management students. The results of a questionnaire, focus group discussions and academic performance analysis indicate that small group tutorials enhance students’ confidence in maths and improve students’ academic performance. Furthermore, student feedback on the tutorial programme provides a deeper insight into student experiences and the value students assign to the tutorials.
van Veggel N, Amory J. (2014) The impact of maths support tutorials on mathematics confidence and academic
performance in a cohort of HE Animal Science students. PeerJ 2:e463 http://dx.doi.org/10.7717/peerj.463
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 inverse of a 2x2 matrixThis leaflet explains what is meant by the inverse of a 2x2 matrix and how this can be found using a formula. (Engineering Maths First Aid Kit 5.4)
The inverse of a matrixThis leaflet explains what is meant by the inverse of a matrix and how this can be calculated. (Engineering Maths First Aid Kit 5.5)
