In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others. (Mathtutor Video Tutorials) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This resource covering equations of constant acceleration has been contributed to the mathcentre Community Project by Josh Simpson and reviewed by Leslie Fletcher, Liverpool John Moores University.

Designed for self-study, this drawing-led introduction to the geometry of Euclid takes the learner from first principles through to constructions and mathematical proofs as well as covering practical applications of the techniques learnt in art and design. It concludes with a study of the pentagon, golden ratio and their surprising mathematical interconnection. The resources comprise a 100-page booklet and supporting interactive resources. These resources have been created by Rich Cochrane and Andrew McGettigan (Central Saint Martins, UAL) and reviewed by Prof Jeremy Gray (Open University). They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.

This leaflet explains what is meant by a definite integral and how it can be evaluated. (Engineering Maths First Aid Kit 8.9)

Janette Matthews, Tony Croft, Duncan Lawson, and Dagmar Waller. (2013) Evaluation of mathematics support centres: a literature review. Teaching Mathematics Applications. first published online September 3, 2013 doi:10.1093/teamat/hrt013 Mathematics Support Centres (MSCs) have been established at universities in the UK and a number of other countries, of which colleagues from Australia and Ireland have been the most prolific in publishing about their work. Their main functions are to address issues surrounding the transition to university mathematics and to support students’ learning of mathematics and statistics across the wide variety of undergraduate courses. There is a growing body of research examining the operation and impact of MSCs. This article will review and synthesize available published research evidence so that informed decisions can be made about the value of mathematics support activity and the targeting of future funding. Evidence will be shown of the evaluation of MSCs in each of the following areas: the collection of data and the challenges that are presented in both quantitative and qualitative studies; analysis demonstrating MSC usage and activity; analysis showing the impact of MSCs on students, staff and the institution. The article will conclude by identifying areas where further research would be helpful.

In this unit we see how to expand an expression containing brackets. By this we mean to rewrite the expression in an equivalent form without any brackets in. Fluency with this sort of algebraic manipulation is an essential skill which is vital for further study. (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.

9 questions: Expanding out expressions such $(ax+b)(cx+d)$ etc. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

This is a complete workbook covering the removal of brackets from expressions. It contains lots of examples and exercises. It can be used as a free-standing resource, or can be read in conjunction with mathtutor - the companion on-disk resource.

Latex source, image files and metadata for the Fact & Formulae leaflet "Exponential and Logarithm for Economics and Business Studies" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Shazia Ahmed (University of Glasgow) and Anthony Cronin (University College Dublin).

Exponential functions and logarithm functions are important in both theory and practice. In this unit we look at the graphs of exponential and logarithm functions, and see how they are related. (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.

In this unit we continue to build up The Table of Derivatives using rules described in other units. (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.

An essential skill in many applications is the ability to factorise quadratic expressions. In this unit you will see that this can be thought of as reversing the process used to 'remove' or 'multiply-out' brackets from an expression. (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.