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Resource type Dot and cross product - Numbas
5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Completing the square - Numbas
Two 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.
Resource type Diagnostic test in differentiation - Numbas
16 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic Test: Indefinite Integration - Numbas
16 questions: Inverse of differentiation, substitution, inverse trig functions, partial fractions and by parts. For those that want a thorough testing of their basic techniques in integration. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Complex Numbers Test 01 (DEWIS)
Seven questions on complex numbers. Testing modulus, multiplication, division, Argand diagram, polar form, De Moivre's theorem. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Resource type Integration using partial fractions 2
In this unit we are going to look at how we can integrate some more algebraic fractions. We shall concentrate on the case where the denominator of the fraction involves an irreducible quadratic factor. The case where all the factors of the denominator are linear has been covered in the first unit on integration using partial fractions.
Resource type Numerical Reasoning Test
These PPT slides include information about the Numerical Reasoning test and sample questions. They have been designed to allow graduates to prepare for the 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 Laura Hooke, Loughborough University London 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.
Resource type Basic complex numbers - Numbas
6 questions on complex numbers, multiplication, inverse, division and modulus. Finding the distance between complex numbers. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic Testing within Institutions - University of York
Since 1977 a paper-based diagnostic test has been presented to first year mathematics students at the University of York. Based on an interview with the administering lecturer and a student questionnaire this case study examines the procedure, results and student responses to the diagnostic testing process.
Resource type Numeracy Professional Skills Practice Test
These PPT slides include information about the Numeracy Professional Skills test and sample questions. They hava been designed to allow trainee teacher applicants to prepare for the 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.
Resource type Complex Numbers Arithmetic - Numbas
6 questions on complex numbers, multiplication, inverse, division and modulus and finding the distance between complex numbers. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Diagnostic test in basic maths - Numbas
4 questions testing the precedence of operations applied to integers. In other words testing BIDMAS: Brackets, Indices, Division/Multiplication and Addition/Subtraction. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Factorising quadratics - Numbas
3 questions on factorising quadratics. The second question also asks for the roots of the quadratic. The third question involves factorising quartic polynomials but which are quadratics in $x^2$. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Non-Verbal Reasoning Test
These PPT slides include information about the Non-Verbal Reasoning test and sample questions. They have been designed to allow graduates to prepare for the 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 Laura Hooke, Loughborough University London 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.
Resource type Partial Fractions
After 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.
Resource type Polar form and De Moivre's Theorem - Numbas
3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers
Resource type Polar Form and De Moivre's Theorem - Numbas
3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Partial Fractions
After 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.
Resource type Vector Test 01 (DEWIS)
Five questions on vectors, testing addition, subtraction, scalar multiplication, magnitude, scalar product, vector product and finding the angle between two vectors. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Resource type Mathematical Methods for Third Year Materials Scientists at Cambridge University
Mathematical Methods is a revision course for third year materials scientists. Started in 1997, there is no formal examination. It consists of six lectures, an examples class and a questions sheet, and provides revision of past topics, with examples relating to third year materials courses and a background for the fourth year. This case study reviews the course and its role in providing the student with a mathematical foundation in the context of materials science.
Resource type Partial Differentiation Test 01 (DEWIS)
Four questions on partial differentiation. The first two involve finding the first and second partial derivative of a polynomial in x and y. The third involves finding a first partial derivative using the chain rule. The fourth involves finding a second partial derivative involving the product rule. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Resource type Open Learning Resource Centre at the University of Huddersfield
The Open Learning Resource Centre (OLRC) at the School of Computing and Mathematics, University of Huddersfield provides a quiet environment with seated study places for up to sixty students. The Centre originally operated from 8.30am to 4.30pm every day but that has now been extended to cater for the needs of part-time students. Every day a tutor provides a surgery on a one-to-one basis to answer questions posed in mathematics, statistics or operational research (MSOR). It was also commended by the QAA Visiting Panel during a recent Teaching Quality Assessment.
Resource type Algebra Refresher
A 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.
Resource type Algebra Refresher - Interactive version
An 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.
Resource type A Game Show Format for First Year Problem Classes in Mathematical Modelling
Problem 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.
Resource type Historical Study of Correlation between A-Level Grades and Subsequent Performance
The subject of A-Level mathematics has attracted a great deal of political and academic controversy. Those who represent the academic community in Higher Education have argued for over a decade that the standards of A-Level mathematics have been declining and continue to do so. Elsewhere it has been argued that much of the decline perceived by those who teach in engineering and science departments is more likely to be attributed to the very substantial national decline in entry standards to engineering and science courses rather than any real change in A-Level standards. Using available statistics, a study of the electronics students at York set out to discover whether these questions could be answered and the results were published in a detailed paper [1] of which the following is a summary.

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