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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.
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.
Analysing Random Processes using MATLAB at the Master's LevelMATLAB is the chosen simulation environment that is used throughout the Department of Electronic and Electrical Engineering. MATLAB is used by the students at several levels. It is used in earlier years as an 'Engineering' calculator that is useful for scientific calculations and visualisation particularly for complex analysis. As the course develops MATLAB becomes invaluable for investigating the time-frequency characterisation of signals and systems. MATLAB also gives the students an environment that allows them to write programming code in a 'C' like format. Finally MATLAB facilitates greater contextual teaching and problem based learning, which has become increasingly important in current Electronic and Electrical Engineering.
And the winner is... mathematics supportAt the Times Higher Awards ceremony
on 24th November 2011, it was
announced that Loughborough and
Coventry Universities had won the
award for Outstanding Support for
Students, in recognition of the work
of sigma, Centre for Excellence in
University-wide mathematics and
statistics support.
Whilst sigma at Coventry and Loughborough Universities received the award, the real winner was mathematics and statistics support across the country. In this booklet,
we outline how sigma's work has contributed to the growing recognition of the importance of mathematics and statistics support and to the development of a national and international community of practitioners. Authors : Ciaran Mac an Bhaird and Duncan Lawson
Animal movement - Iain CouzinThis extension video mathstutor shows how mathematical modelling and simulation is used to model animal movements, for example ant colonies, and how predictions may be made based on this data. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Basic Differentiation - A RefresherThis Refresher Booklet has been designed for students who have studied an AS level course in mathematics. It enables the user to practice basic techniques.
Being a Professional MathematicianThis booklet details the curriculum resources created by the project 'Being a Professional Mathematician'. This aimed to produce a collection of teaching resources on the development of mathematics - stories from history and more recent development of the discipline. These aimed to counter a view of mathematics as a static, completed body of knowledge and instead encourage awareness of the process of doing mathematics. They aimed to develop students' awareness of the culture of mathematics. This booklet gives details of the material created and discusses how this material may be used in the curriculum. This booklet was written by Tony Mann and Chris Good. This report is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use but is freely available to UK universities for non-commerical educational use.
Canllaw i Ystadegaeth: Ffeithiau Tebygoleg ac Ystadegaeth, Fformiwlâu a Gwybodaeth - Fersiwn argraffuThis is a Welsh language version of the Probability & Statistics Facts, Formulae and Information Leaflet. It is designed to be printed on A3 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Canllaw i Ystadegaeth: Ffeithiau Tebygoleg ac Ystadegaeth, Fformiwlâu a Gwybodaeth - Fersiwn arleinAn electronic Welsh language version of the Facts & Formulae leaflet for probablity and statistics designed to be viewed onscreen. A higher resolution print version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Changing Courseware with Diagnostic TestingThe Mathematics Department at Keele University has pioneered the use of diagnostic testing linked to Computer-Based Learning (CBL) self study modules for students entering Principal Mathematics. In particular, the department has invested in the use of Mathwise modules to provide support materials. Recent advances in software have produced a new generation of courseware but there is considerable inertia in changing to such new material without some evidence that students will benefit. This case study considers this problem and considers how diagnostic testing can be used to decide when to update the courseware being used.
Completing the squareIt is often useful to be able write a quadratic expression in an alternative form - that is as a complete square plus or minus a number. The process for doing this is called completing the square. This booklet explains how this process is carried out.
Cubic equationsThis booklet explains what is meant by a cubic equation and discusses the nature of the roots of cubic equations.
It explains a process called synthetic division which can be used to locate further roots when one root is known.
The graphical solution of cubic equations is also described.
Cwrs Gloywi AlgebraAn Algebra Refresher.
This booklet revises basic algebraic techniques.
This is a welsh language version.
Cwrs Gloywi CalcwlwsA Calculus Refresher.
This booklet revises techniques in calculus (differentiation and integration).
This is a welsh language version
Developing the Interface between Engineering and Mathematics at Edinburgh UniversityA few years ago the department of mathematics at Edinburgh looked at the problem of interfacing between mathematics and engineering courses and came up with a system to enable greater student understanding. The implementation of this system and how it is helping students is reviewed in this case study.
Diagnosis of Mathematical Skills Among Bioscience EntrantsA paper-based diagnostic test of mathematical skills, presented to Stage 1 undergraduates, revealed that entrants encounter difficulties with some of the basic mathematical concepts that are essential if students are to successfully complete a programme of study within the biosciences. Students reacted favourably towards a number of computer-based learning materials aimed at supporting development of their basic mathematical skills through self-directed learning. However, the availability of such resources made no significant difference to the studentsâ?? overall performance in a subsequent test. Some issues and applications are discussed.
Diagnostic Testing and Student SupportStudents on Engineering awards at UWE come from a range of academic backgrounds that include A2/AS-Level, B-TEC, Foundation year, overseas qualifications and mature students who in some cases are returning to education after an absence of over ten years. Ensuring that individuals from such a diverse population can develop the necessary mathematical skills and knowledge to cope with the demands of an Engineering award is clearly difficult. In this case study we describe the development of diagnostic testing at UWE and its role in a strategy for teaching mathematics to a large mixed ability group.
Diagnostic Testing within Institutions - Anglia Polytechnic UniversityThe Department of Mathematics, Physics and Electronics (School of Applied Sciences Anglia Polytechnic University, Cambridge) uses DIAGNOSYS to administer a computer-based diagnostic test, testing the mathematical knowledge of primarily foundation year students.
Diagnostic Testing within Institutions - Brunel UniversityBrunel is well advanced in promoting good practice in the use of Computer Aided Assessment (CAA). The diagnostic tests are of CAA type, delivered on-screen with full animation at the testing level required (post-GCSE or post A-Level). 200 students are involved on programmes ranging from financial computing to mathematics.
Diagnostic Testing within Institutions - Cardiff UniversityAll students are assessed using a paper-based, but optically marked, written test of 12 multi-choice questions (MCQs). The test covers algebraic simplification, approximation, logs, trigonometry and calculus. It is based on a test developed at Coventry University. It is used to assess students' strengths upon entry.
Diagnostic Testing within Institutions - Manchester Metropolitan UniversityTwo weeks are spent doing revision prior to three diagnostic tests. These are designed to assess studentsâ?? strengths and weaknesses after they have spent some time working in a mathematical context. The tests are all paper-based multi-choice questions (MCQs). They are hand-marked, but owing to the small number of students there is little time delay between assessment and distribution of the results.
Diagnostic Testing within Institutions - Queen Mary, University of LondonAll students are assessed using a paper-based written test of multi-choice questions (MCQs). The test has 15 questions of which the students must pass with 12 correct. Two hours were allowed. All of the questions were on routine arithmetic and algebra with emphasis on manipulative drill and practice, e.g. decomposition into powers of primes, long division, fractions, BODMAS, surds, elementary function definition, and inequalities. The test is quite demanding and was introduced last year 2001. It is repeated for those who fail six times during the course of the year in a programme called â??Essential Mathematicsâ??. Passing it is a mandatory requirement to proceed into the second year.
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.
Diagnostic Testing within Institutions - University of BristolAll students are tested via two computer-based tests each consisting of 10 multi-choice questions (MCQs). These tests are set from a large bank of questions using the â??TALâ?? (Teach And Learn) computer system developed at the University of Bristol. The topics covered include arithmetic, algebra, geometry, functions, calculus, and probability. A â??leave unansweredâ?? option is provided and negative marking used to discourage guessing. The tests are accessed through a Web interface, so in principle could be accessed from anywhere. It has been run with large-scale simultaneous access and, although a little slow, is relatively robust.
Diagnostic Testing within Institutions - University of Newcastle upon TyneSchool of Mechanical and Systems Engineering DIAGNOSYS has been used by the Department of Engineering Mathematics, now the School of Mechanical and Systems Engineering, since 1993. By 1996 there were five departments involved in using the software. 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.
