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Teaching of Chemical Thermodynamics using Available Data and an Innovative ApproachAnalysis is made showing how Helmholtz and Gibbs energies conveniently interrelate enabling typical 2-D and 3-D curves to be drawn across a range of temperature for selected chemical equilibria. Opposing influences leading to a free energy minimum or an entropy maximum are given a physical explanation with the attainment of equilibrium and the choice of conditions made evident. Simplifying assumptions are emphasised and the examples show how the data are manipulated, limits evaluated and trends in equilibrium summarised by EXCEL charts.
Teaching Problem-solving in Undergraduate MathematicsThe 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.
Teaching Students to Write Mathematics: video and other resourcesTeaching 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.
The Geometry of a Circle - Part 3IPOD 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.
The Geometry of a Circle - Part 4IPOD 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.
The Geometry of a Circle - Part 5IPOD 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.
The Argand diagramThis leaflet explains how an Argand diagram is used to provide a pictorial representation of a complex number. (Engineering Maths First Aid Kit 7.3)
The Argand DiagramThis leaflet explains how complex numbers can be represented pictorially using an Argand Diagram.
There are accompanying videos. Sigma resource Unit 8.
The Argand DiagramThis 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.
The Argand DiagramThis mobile phone video explains how complex numbers can be represented pictorially using an Argand Diagram.
There is an accompanying leaflet.
The Argand DiagramThis 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.
The chain ruleThe chain rule is used for differentiating a function of a function. This leaflet states and illustrates this rule. (Engineering Maths First Aid Kit 8.5)
The Chain RuleA 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.
The Chain RuleA special rule, the chain rule, exists for differentiating a function of another function. This unit illustrates this rule. (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.
The complex conjugateThis leaflet explains what is meant by the complex conjugate of a complex number.
There are accompanying videos. Sigma resource Unit 6.
The complex conjugateThis video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
The complex conjugateThis mobile phone video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet.
The complex conjugateThis mobile phone video explains what is meant by the complex conjugate of a complex number. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
The complex conjugateThis video explains what is meant by the complex conjugate of a complex number.
There is an accompanying leaflet. Sigma resource Unit 6.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
The cosine functionVideo for iPod.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
The determinant of a 2x2 matrixMatrices 4: This leaflet explains what is meant by the determinant of a 2x2 matrix. It explains the terms singular matrix and non-singular matrix. There is an accompanying video tutorial.
The determinant of a 2x2 matrixMatrices 4: This video tutorial explains what is meant by the determinant of a 2x2 matrix. It explains the terms singular matrix and non-singular matrix. There is an accompanying help leaflet.
The determinant of a 2x2 matrixMatrices 4: This video tutorial explains what is meant by the determinant of a 2x2 matrix. It explains the terms singular matrix and non-singular matrix. There is an accompanying help leaflet.
The determinant of a 3x3 matrixMatrices 9: This leaflet explains how to calculate the determinant of a 3x3 matrix. There is an accompanying video tutorial.
The determinant of a 3x3 matrixMatrices 9: This video tutorial explains how to calculate the determinant of a 3x3 matrix. There is an accompanying help leaflet.
The determinant of a 3x3 matrixMatrices 9: This video tutorial explains how to calculate the determinant of a 3x3 matrix. There is an accompanying help leaflet.
