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Evaluating 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 - 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 the School of Mathematics & Statistics at Newcastle University.

Rules of Arithmetic (1) - Introduction

This 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 line

This 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 examples

This 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 addition

This 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 examples

This 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 multiplication

This 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.

Scientific notation

This leaflet explains scientific notation. (Engineering Maths First Aid Kit 1.3)

Second order differential equations - Numbas

5 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 Equations

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.

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 - Numbas

3 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 notation

This leaflet explains sigma notation. (Engineering Maths First Aid Kit 2.22)

Sigma notation

Sigma notation provides a concise and convenient way of writing long sums. This leaflet explains how.

Sigma notation

Sigma 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 notation

Sigma 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.

Simplifying Algebraic Fractions

This video explains how algebraic fractions can be simplified by cancelling common factors. (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.

Simplifying Algebraic Fractions

This video explains how algebraic fractions can be simplified by cancelling common factors. (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.

Simplifying algebraic fractions Part 1

IPOD VIDEO: This video explains how algebraic fractions can be simplified by cancelling common factors This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Simplifying algebraic fractions Part 2