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Resource type Surds and other roots - part 3
This video segment continues to work with surds. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Surds and other roots - part 4
This video segments looks at some rules used when working with surds. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Surds and other roots - part 5
This video segment continues the series of segments on surds. It looks at calculations involving the difference of two roots. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Surds and other roots - part 6
This video segment concludes the material on surds. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Symbols
Mathematics provides a very rich language for the communication of concepts and ideas, and a set of powerful tools for the solution of problems. In order to use this language, it is essential to appreciate how symbols are used to represent quantities, and to understand the conventions which have been developed to manipulate them.
Resource type System of linear equations - Numbas
3 questions. First, two equations in two unknowns, second 3 equations in 3 unknowns, solved by Gauss elimination. The third two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Resource type Systems of linear equations - Numbas
3 questions. First, two equations in two unknowns; second 3 equations in 3 unknowns, solved by Gauss elimination. The third, two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Resource type Table of derivatives
This leaflet provides a table of common functions and their derivatives. (Engineering Maths First Aid Kit 8.2)
Resource type Table of derivatives
This leaflet provides a table of common functions and their derivatives, and the opportunity to practice using it.
Resource type Table of integrals
This leaflet provides a table of integrals of common functions. (Engineering Maths First Aid Kit 8.7)
Resource type Tangents and Normals
This unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve. The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is perpendicular to the tangent. (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.
Resource type Tangents and Normals
This unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve. The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is perpendicular to the tangent. (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.
Resource type Teach Yourself Booklets Pack
This pack contains all of the mathcentre booklets for use with students who want to 'teach themselves'. It may be downloaded as a zip file. Select Save to download the zip file to your computer.
Resource type Teaching Mathematics to Chemistry Students at the University of Sheffield
The department of chemistry offers over two semesters, Mathematics for Chemists 1 and 2, which provide students with the understanding and use of mathematical techniques for various chemistry degrees. This case study reviews these courses and illustrates their value in terms of providing the students with a positive foundation for future study.
Resource type Teaching Mathematics to First Year Undergraduate Chemists in the Context of their Discipline
New entrants to chemistry degree programmes are given a 24 hour course in mathematics if they do not have an A level qualification in the subject. This concentrates only on the skills necessary to successfully complete the first year physical chemistry course; these include simple statistics, functions, partial differentiation and integration. The course is taught using chemically relevant examples, in an order related to the chemistry course rather than traditional mathematics courses.
Resource type Teaching Problem-solving in Undergraduate Mathematics
The purpose of this Guide is to argue the case for putting problem-solving at the heart of a mathematics degree; for giving students a flavour, according to their capabilities, of what it is to be a mathematician; a taste for rising to a mathematical challenge and overcoming it. Its purpose is also to make it easier for colleagues who share our vision to find ways of realising it in their own teaching. This book was edited by Matthew Badger, Chris Sangwin and Trevor Hawkes. This document is distributed under a Creative Commons Attribution No Derivatives (CC BY-ND) license.
Resource type Teaching Students to Write Mathematics: video and other resources
Teaching students to write mathematics correctly is often neglected part of a mathematics degree. A workshop was convened by Kevin Houston to consider approaches to teaching this topic. A DVD was produced with videos of talks by Kevin Houston (University of Leeds), Franco Vivaldi (Queen Mary, University of London) and Mike Robinson (Sheffield Hallam University), along with further reading and sample teaching resources. At this website you can download and burn your own DVD or view the videos and other materials online. This website is not made available under a Creative Commons licence.
Resource type The Geometry of a Circle - Part 3
IPOD VIDEO: In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The Geometry of a Circle - Part 4
IPOD VIDEO: In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The Geometry of a Circle - Part 5
IPOD VIDEO: In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type The Argand diagram
This leaflet explains how an Argand diagram is used to provide a pictorial representation of a complex number. (Engineering Maths First Aid Kit 7.3)
Resource type The Argand Diagram
This leaflet explains how complex numbers can be represented pictorially using an Argand Diagram. There are accompanying videos. Sigma resource Unit 8.
Resource type The Argand Diagram
This video explains how complex numbers can be represented pictorially using an Argand Diagram. Sigma resource Unit 8. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Resource type The Argand Diagram
This mobile phone video explains how complex numbers can be represented pictorially using an Argand Diagram. There is an accompanying leaflet.
Resource type The Argand Diagram
This mobile phone video explains how complex numbers can be represented pictorially using an Argand Diagram. Sigma resource Unit 8. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Resource type The Chain Rule
A special rule, the chain rule, exists for differentiating a function of another function. This unit illustrates this rule. (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.