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Reflections - Tony McWalterTony McWalter reflects on the role of mathematics in decision making, mathematics teaching and the view of society and young people towards maths in this mathstutor extention video. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Removing brackets 1This leaflet explains how to expand or remove brackets from an algebraic expression. (Engineering Maths First Aid Kit 2.3)
Removing brackets 1In order to simplify mathematical expressions, it is frequently necessary to 'remove brackets'. This leaflet explains the rules for replacing bracketed terms, with non-bracketed equivalents.
Removing brackets 2In this leaflet, we show you the correct procedure for writing expressions of the form (a+b)(c+d) in an alternative form, without brackets.
Responding to the Mathematics Problem : The Implementation of Institutional Support MechanismsThis volume arose from a conference, 'Addressing the Quantitative Skills Gap: Establishing
and Sustaining Cross-Curricular Mathematical Support in Higher Education', held at the
University of St Andrews in 2007. The aim of that conference, and of this volume of
collected essays, is to explore the logistics and economics of establishing and sustaining
institution-wide mathematics support provision.
We explore a range models for delivering mathematical support accommodating an even
wider range of budgets. Additionally, we identify how universities can call upon their maths
support provision to demonstrate that they are addressing institutional agendas including
quality enhancement, employability and skills, the first year experience, flexible delivery,
retention, and the student learning experience. Looking to the future we note how
mathematics support has broadened from its original focus on the STEM subjects and
discuss how emerging technologies are being exploited for its provision.
Rules of arithmeticEvaluating expressions involving numbers is one of the basic tasks in
arithmetic. But if an expression is complicated then it may not be clear
which part of it should be evaluated first, and so some rules must be
established. There are also rules for calculating with negative numbers.
Rules of arithmeticEvaluating expressions involving numbers is one of the basic tasks in
arithmetic. But if an expression is complicated then it may not be clear
which part of it should be evaluated first, and so some rules must be
established. There are also rules for calculating with negative numbers.
(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.
Rules of arithmeticEvaluating expressions involving numbers is one of the basic tasks in
arithmetic. But if an expression is complicated then it may not be clear
which part of it should be evaluated first, and so some rules must be
established. There are also rules for calculating with negative numbers.
(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.
Rules of arithmetic - Numbas4 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 the School of Mathematics & Statistics at Newcastle University.
Rules of Arithmetic (1) - IntroductionThis video segment discusses the importance of considering the order in which operations are carried out.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Rules of Arithmetic (2) - the number lineThis video segment introduces the number line.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Rules of Arithmetic (3) - addition and subtraction examplesThis video segment continues introductory work on arithmetic.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Rules of Arithmetic (4) - The rules of additionThis video segment continues to introduce arithmetical ideas - rules of addition.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Rules of Arithmetic (5) - Multiplication examplesThis video segment continues to introduce arithmetical ideas - it deals with how we multiply positive and negative numbers.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Rules of Arithmetic (6) - The rules of multiplicationThis video segment continues to introduce arithmetic - it explains the rules we use when multiplying positive and negative numbers.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Second order differential equations - Numbas5 questions on second order differential equations.
First two and last, linear with constant coefficients; first two homogeneous, complex and repeated roots. Last, non-homogeneous. Third, motion under gravity. Fourth, linear with a given particular solution (variation of parameters).
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Second Order Ordinary Differential EquationsSecond Order Differential Equations: A summary of how to solve second order ODEs with constant coefficients: how to solve homogeneous equations (with no right hand-side) and how to solve equations with a right hand-side (method of undetermined coefficients and methods of variation of parameters). This Teach Yourself resource is contributed to the mathcentre Community Project by Morgiane Richard, University of Aberdeen and is reviewed by Shazia Ahmed, University of Glasgow.
Second Order Ordinary Differential Equations (SOURCE)A zip file containing the LaTeX source files and metadata for the Teach Yourself leaflet on Second Order Differential Equations: A summary of how to solve second order ODEs with constant coefficients: how to solve homogeneous equations (with no right hand-side) and how to solve equations with a right hand-side (method of undetermined coefficients and methods of variation of parameters). This Teach Yourself resource is contributed to the mathcentre Community Project by Morgiane Richard, University of Aberdeen and is reviewed by Shazia Ahmed, University of Glasgow.
Sequences and limits - Numbas3 questions. One question on limits of standard sequences. Other two on finding least $N$ such that $|a_n-L |lt 10^{-r},;;n geq N$ where $L$ is limit of $(a_n)$. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Setting up a maths support centre (HE STEM)The focus of this HE STEM guide is to provide mathematics support to students across all STEM disciplines to ease the transition from School/College in to University. This is a key factor influencing drop-out from STEM degrees and a targeted provision for mathematics support is a proven way to counter this. It includes cases studies from the Universities of Coventry, Portsmouth, York. Lincoln and Kent and articulates the experiences of the two Sigma Directors Professor Duncan Lawson, Coventry University and Professor Tony Croft, Loughborough University joint winners of the 2011 Times Higher Award for Outstanding Support for Students
Sigma notationSigma notation provides a concise and convenient way of writing long sums. This leaflet explains how.
Sigma notationSigma notation is a method used to write out a long sum in a concise way. In
this unit we look at ways of using sigma notation, and establish some useful
rules.
Sigma notationSigma notation is a method used to write out a long sum in a concise way. In this unit we look at ways of using sigma notation, and establish some useful rules. (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.
Sigma notationSigma notation is a method used to write out a long sum in a concise way. In this unit we look at ways of using sigma notation, and establish some useful rules. (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.
Simple Linear EquationsIn this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x2, x3, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
(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.
Simple Linear EquationsIn this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x2, x3, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
(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.
