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System of linear equations - Numbas3 questions. First, two equations in two unknowns, second 3 equations in 3 unknowns, solved by Gauss elimination.
The third two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Systems of linear equations - Numbas3 questions. First, two equations in two unknowns; second 3 equations in 3 unknowns, solved by Gauss elimination. The third, two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Table of integralsThis leaflet provides a table of integrals of common functions. (Engineering Maths First Aid Kit 8.7)
Teaching Mathematics to 'Science with Management' Students Using A Graphic CalculatorThe introduction of the graphics calculator has provided the fourth year students taking Science with Management Studies with an interactive learning tool. This case study reviews its introduction into the course Discrete and Continuous Models at Napier University.
Teaching Mathematics to Chemistry Students at the University of SheffieldThe department of chemistry offers over two semesters, Mathematics for Chemists 1 and 2, which provide students with the understanding and use of mathematical techniques for various chemistry degrees. This case study reviews these courses and illustrates their value in terms of providing the students with a positive foundation for future study.
Teaching mathematics to first year engineering students with a wide range of mathematical abilityThe approach to teaching Maths to Year 1 students in the Department of Engineering underwent a major reorganisation prior to the start of the 2002/3 session. The aim was to provide an optimum framework within which students studying four different engineering disciplines could be taught Maths within the resource constraints imposed by student numbers, and to cope with the extremely wide range of their Mathematical abilities on entry to these degree programmes. After much discussion, students are now taught their Year 1 Maths topics in two different cohorts, streamed according to initial Maths ability, and using different approaches in terms of the depth of understanding expected. This also involves the use of different assessments. This approach has been much more popular and created far fewer difficulties than the previous system which divided the students into two groups according to degree programme.
Teaching Mathematics to First Year Undergraduate Chemists in the Context of their DisciplineNew entrants to chemistry degree programmes are given a 24 hour course in mathematics if they do not have an A level qualification in the subject. This concentrates only on the skills necessary to successfully complete the first year physical chemistry course; these include simple statistics, functions, partial differentiation and integration. The course is taught using chemically relevant examples, in an order related to the chemistry course rather than traditional mathematics courses.
Teaching of Chemical Thermodynamics using Available Data and an Innovative ApproachAnalysis is made showing how Helmholtz and Gibbs energies conveniently interrelate enabling typical 2-D and 3-D curves to be drawn across a range of temperature for selected chemical equilibria. Opposing influences leading to a free energy minimum or an entropy maximum are given a physical explanation with the attainment of equilibrium and the choice of conditions made evident. Simplifying assumptions are emphasised and the examples show how the data are manipulated, limits evaluated and trends in equilibrium summarised by EXCEL charts.
The Geometry of a Circle - Part 3IPOD 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 4IPOD 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 5IPOD 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 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 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 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 eThis leaflet gives some basic information about the constant e. It shows graphs of the exponential function. (Engineering Maths First Aid Kit 3.4)
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 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 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.
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 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 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 graph of a functionA very useful pictorial representation of a function is the graph. In this leaflet, we remind you of important conventions when plotting a graph.
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
