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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

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.

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.

Simple Linear Equations

In 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.

Simple Linear Equations

In 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.

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