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Implicit DifferentiationSometimes functions are given not in the form y=f(x) but in a more complicated form in which it is difficult or impossible to express y explicitly in terms of x.. Such functions are called implicit functions. In this unit we explain how these can be differentiated using implicit differentiation. (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.
Implicit DifferentiationSometimes functions are given not in the form y=f(x) but in a more complicated form in which it is difficult or impossible to express y explicitly in terms of x.. Such functions are called implicit functions. In this unit we explain how these can be differentiated using implicit differentiation. (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.
Indices or PowersA power, or index, is used when we want to multiply a number by itself several times. This leaflet explains the use of indices and states rules which must be used when you want to rewrite expressions involving powers in alternative forms.
Integrating algebraic fractions (1)Sometimes the integral of an algebraic fraction can be found by first
expressing the algebraic fraction as the sum of its partial fractions. In this
unit we will illustrate this idea. We will see that it is also necessary to
draw upon a wide variety of other techniques such as completing the square,
integration by substitution, using standard forms, and so on. (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.
Integrating algebraic fractions (1)Sometimes the integral of an algebraic fraction can be found by first
expressing the algebraic fraction as the sum of its partial fractions. In this
unit we will illustrate this idea. We will see that it is also necessary to
draw upon a wide variety of other techniques such as completing the square,
integration by substitution, using standard forms, and so on. (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.
Integration for Economics and Business Studies (SOURCE)Latex source, image files and metadata for the Fact & Formulae leaflet "Integration for Economics and Business Studies " contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Integration using partial fractions 1Sometimes the integral of an algebraic fraction can be found by first expressing the algebraic fraction as the sum of its partial fractions. In this unit we will illustrate this idea. We will see that it is also necessary to draw upon a wide variety of other techniques such as completing the square, integration by substitution, using standard forms, and so on.
Interactive Economics Facts and FormulaeThis document summarises some main mathematical ideas that you will probably
see in the first year of any economics degree course. The hot links allow you to
select questions, each randomised and with full feedback so you can ‘get your hands
dirty’ and reinforce your understanding. You are encouraged to make good use of
these links and to retain this document as a handy summary for revision. You/your
teacher is free to edit it as required. You will find questions on additional topics in
economics, as well as most of the underlying mathematical techniques, in the maths e.g. database.
Linear relationshipsIn many business applications, two quantities are related linearly. This means a graph of their relationship forms a straight line. This leaflet discusses one form of the mathematical equation which describes linear relationships.
LogarithmsWe use logarithms to write expressions involving powers in a different form. If you can work confidently with powers, you should have no problems handling logarithms
Logarithms - changing the baseSometimes it is necessary to find logs to bases other then 10 and e.
There is a formula which enables us to do this. This leaflet states
and illustrates the use of this formula.
Mapping University Mathematics Assessment Practices BookThis book discusses the outcomes of the MU-MAP Project (Mapping University Mathematics Assessment Practices) aimed at detailing the current state of assessment practices in undergraduate mathematics including: A survey of existing practices at universities across England and Wales; A summary of the research literature; Examples of different forms of mathematics assessment in current use; Reports on the implementation of changed assessment projects such as oral assessment, the use of applied comparative judgement techniques and assessing employability skills. This book was edited by Paola Iannone Adrian Simpson. This work is released under a Creative Commons Attribution-NoDerivs 2.0 UK: England & Wales Licence.
Mapping University Mathematics Assessment Practices websiteThe MU-MAP Project (Mapping University Mathematics Assessment Practices) aimed at detailing the current state of assessment practices in undergraduate mathematics including: A survey of existing practices at universities across England and Wales; A summary of the research literature; Examples of different forms of mathematics assessment in current use; Reports on the implementation of changed assessment projects such as oral assessment, the use of applied comparative judgement techniques and assessing employability skills. This website contains the resources connected to the project, including a literature database. This website is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.
Mathematical Methods for Third Year Materials Scientists at Cambridge UniversityMathematical 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.
Mathematical Symbols and AbbreviationsThis leaflet provides information on symbols and notation commonly used in mathematics. It shows the meaning of a symbol and, where necessary, an example and an indication of how the symbol would be said. For further information from mathcentre resources, a search phrase is given. This Quick Reference leaflet is contributed to the mathcentre Community Project by Janette Matthews and reviewed by Tony Croft, University of Loughborough.
Mathematics for Chemistry Facts & Formulae - Onscreen versionAn electronic version of the Mathematics for Chemistry Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Mathematics for Chemistry Facts & Formulae - Print versionThis is a high resolution electronic copy of the Chemistry Facts & Formulae 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.
Mathematics for Chemistry Facts and Formulae - Large Print versionA large print version of the Chemistry Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 11 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
Mathematics for Computer Science Facts & Formulae - Large Print VersionA large print version of the Mathematics for Computer Science Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 11 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
Mathematics for Computer Science Facts & Formulae - Onscreen versionAn electronic version of the Facts & Formulae leaflet for computer science designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Mathematics for Computer Science Facts & Formulae - Print versionThis is a high resolution electronic copy of the Mathematics for Computer Science Facts & Formulae 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.
mathematics learning support in UK higher education - the extent of provision in 2012 (sigma)This sigma guide reports on a survey conducted in 2012 to deteremine the number of UK universities that offer some form of mathemathics support and the nature of their provision.
Maths EGComputer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.
Maths EG Teacher InterfaceThe teacher interface for Maths EG which may be used for computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. Teachers need to register (top right of screen) and thereafter login to use the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.
Mechanics Facts & Formulae - Onscreen versionAn electronic version of the Facts & Formulae leaflet for mechanics designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Mechanics Facts & Formulae - Print versionThis is a high resolution electronic copy of the Mechanics Facts & Formulae 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.
