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Numerical Reasoning Practice Test 1 - AnswersThese are fully worked solutions to the 'Numerical Reasoning Practice Test 1'. The document has been designed to allow graduates to prepare for the Numerical Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by David Faulkner, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Numerical Reasoning Practice Test 2 - AnswersThese are fully worked solutions to the 'Numerical Reasoning Practice Test 2'. The document has been designed to allow graduates to prepare for the Numerical Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by David Faulkner, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Hyperbolic functionsThe hyperbolic functions have similar names to the trigonmetric functions,
but they are defined in terms of the exponential function. In this unit we
define the three main hyperbolic functions, and sketch their graphs. We also
discuss some identities relating these functions, and mention their inverse
functions and reciprocal 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.
Hyperbolic functionsThe hyperbolic functions have similar names to the trigonmetric functions,
but they are defined in terms of the exponential function. In this unit we
define the three main hyperbolic functions, and sketch their graphs. We also
discuss some identities relating these functions, and mention their inverse
functions and reciprocal 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.
Numeracy Professional Skills Practice Test 1 - AnswersThese are fully worked solutions to the 'Numeracy Professional Skills Practice Test 1'. The document has been designed to allow trainee teacher applicants to prepare for the Numeracy Professional Skills test. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Dr Kinga Zaczek, Royal Holloway, University of London and reviewed by Frances Whalley, University of Hertfordshire. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Numeracy Professional Skills Practice Test 2 - AnswersThese are fully worked solutions to the 'Numeracy Professional Skills Practice Test 2'. The document has been designed to allow trainee teacher applicants to prepare for the Numeracy Professional Skills test. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Dr Kinga Zaczek, Royal Holloway, University of London and reviewed by Frances Whalley, University of Hertfordshire. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Non-Verbal Reasoning Practice Test 1 - AnswersThese are fully worked solutions to the 'Non-Verbal Reasoning Practice Test 1'. The document has been designed to allow graduates to prepare for the Non-Verbal Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Frances Whalley, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Non-Verbal Reasoning Practice Test 2 - AnswersThese are fully worked solutions to the 'Non-Verbal Reasoning Practice Test 2'. The document has been designed to allow graduates to prepare for the Non-Verbal Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Frances Whalley, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Diagnostic Testing within Institutions - UMISTAll students are assessed using a paper-based written test on their first day in the department. The students are allowed to use any non-graphical calculator to help answer 48 questions of the type and standard that they should be familiar with from A-Level. The questions range across simple arithmetic and algebra through logs to differentiation and integration, finishing with some questions on vectors. Final solutions are filled in on an answer grid. The temporary streaming of the students is based on the results.
Limits of functionsIn this unit, we explain what it means for a function to tend to infinity,
to minus infinity, or to a real limit, as x tends to infinity or to minus
infinity. We also explain what it means for a function to tend to a real limit
as x tends to a given real number. In each case, we give an example of a
function that does not tend to a limit at all. (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.
Conic sectionsIn this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.
Conic Sections Part 1IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 2IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 3IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 4IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 5IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Partial FractionsAfter viewing this tutorial, you should be able to explain the meaning of the terms 'proper fraction' and 'improper fraction', and express an algebraic fraction as the sum of its partial fractions. (Mathtutor Video Tutorial) algebraic fraction as the sum of its partial fractions.
(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.
Conic sectionsIn this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.
Maxima and MinimaIn this unit we show how differentiation can be used to find the maximum and minimum values of a function. Because the derivative provides information about
the gradient or slope of the graph of a function we can use it to locate points on a
graph where the gradient is zero. We shall see that such points are often associated
with the largest or smallest values of the function, at least in their immediate
locality. In many applications, a scientist, engineer, or economist for example, will
be interested in such points for obvious reasons such as maximising power, or profit, or minimising losses or costs. (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.
Limits of functionsIn this unit, we explain what it means for a function to tend to infinity,
to minus infinity, or to a real limit, as x tends to infinity or to minus
infinity. We also explain what it means for a function to tend to a real limit
as x tends to a given real number. In each case, we give an example of a
function that does not tend to a limit at all. (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.
Maxima and MinimaIn this unit we show how differentiation can be used to find the maximum and minimum values of a function. Because the derivative provides information about
the gradient or slope of the graph of a function we can use it to locate points on a
graph where the gradient is zero. We shall see that such points are often associated
with the largest or smallest values of the function, at least in their immediate
locality. In many applications, a scientist, engineer, or economist for example, will
be interested in such points for obvious reasons such as maximising power, or profit, or minimising losses or costs. (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.
Partial FractionsAfter viewing this tutorial, you should be able to explain the meaning of the terms 'proper fraction' and 'improper fraction', and express an algebraic fraction as the sum of its partial fractions. (Mathtutor Video Tutorial) algebraic fraction as the sum of its partial fractions.
(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.
Algebra RefresherA refresher booklet on Algebra with revision, exercises and solutions on fractions, indices, removing brackets, factorisation, algebraic frations, surds, transpostion of formulae, solving quadratic equations and some polynomial equations, and partial fractions. An interactive version and a welsh language version are available.
A Game Show Format for First Year Problem Classes in Mathematical ModellingProblem classes are traditionally used in the teaching of mathematics. For a first year Chemical Engineering course in mathematical modelling, a quiz based on the TV programme â??Who Wants to Be a Millionaire?â?? has been introduced, in a problem class supporting lectures. Following group work, with one set problem per group, students present their solutions to the rest of the class. The quiz follows the presentations. Each group is represented by a volunteer, who attempts to win chocolate prizes. The questions are both general, and specific to the particular problem done by the group. Besides reinforcing earlier learning, the quiz is fun. Certainly it appears to have been appreciated by two successive student cohorts. The lecturer and postgraduate demonstrator have also enjoyed the problem classes more than traditional formats.
Algebra Refresher - Interactive versionAn interactive version of the refresher booklet on Algebra including links to other resources for further explanation. It includes revision, exercises and solutions on fractions, indices, removing brackets, factorisation, algebraic frations, surds, transpostion of formulae, solving quadratic equations and some polynomial equations, and partial fractions. An interactive version and a welsh language version are available.
Using Spreadsheets to Teach Quantum Theory to Students with Weak Calculus BackgroundsQuantum theory is a key part of the chemical and physical sciences. Traditionally, the teaching of quantum theory has relied heavily on the use of calculus to solve the Schr�¶dinger equation for a limited number of special cases. This approach is not suitable for students who are weak in mathematics, for example, many students who are majoring in biochemistry, biological sciences, etc. This case study describes an approach based on approximate numerical solutions and graphical descriptions of the Schr�¶dinger equation to develop a qualitative appreciation of quantum mechanics in an Australian University.
