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Resource type Partial Fractions
After viewing this tutorial, you should be able to explain the meaning of the terms 'proper fraction' and 'improper fraction', and express an algebraic fraction as the sum of its partial fractions. (Mathtutor Video Tutorial) algebraic fraction as the sum of its partial fractions. (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 Conic sections
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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 Limits of functions
In this unit, we explain what it means for a function to tend to infinity, to minus infinity, or to a real limit, as x tends to infinity or to minus infinity. We also explain what it means for a function to tend to a real limit as x tends to a given real number. In each case, we give an example of a function that does not tend to a limit at all. (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 Partial Fractions
After viewing this tutorial, you should be able to explain the meaning of the terms 'proper fraction' and 'improper fraction', and express an algebraic fraction as the sum of its partial fractions. (Mathtutor Video Tutorial) algebraic fraction as the sum of its partial fractions. (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 biomathtutor
biomathtutor presents students with a filmed bioscience-based scenario and guides them through some of the mathematics they need to understand and grow confident and competent in using routinely. The case-study scenario, covering practical aspects of haematology and microbiology, is presented via a narrated film, 24 min in length, but divided up into short sections. The film tracks the diagnosis and treatment of a student with anaemia and a throat infection and links the clinical findings and diagnoses to 33 interactive questions and relevant maths tutorials. An additional 24 interactive questions cover the same range of basic mathematical concepts presented in similar biological contexts, with a view to reinforcing students' learning. biomathtutor was developed by Vicki Tariq (University of Central Lancashire), John Heritage and Tom Roper (University of Leeds), Andrew Bond (University of Westminster), Mike Tribe (University of Sussex) and the EBS Trust. It was funded by HEFCE through its National Teaching Fellowship Scheme. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by EBS Trust 2006. NOTE: This resource has been tested on a Windows platform with Internet Explorer. There are known problems with Firefox and/or Apple systems.
Resource type Extending the table of derivatives
This unit extends the basic table and produces a more complete and therefore more useful table.
Resource type Facts & Formulae - Large Print version
A large print version of the Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 11 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
Resource type Facts & Formulae - Onscreen version
An electronic version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Resource type Facts & Formulae - Print version
This is a high resolution electronic copy of the Facts & Formulae Leaflet. It is designed to be printed on A3 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre.
Resource type Ffeithiau a Fformwlâu - Fersiwn argraffu
This is a Welsh language version of the Facts & Formulae Leaflet. It is designed to be printed on A3 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Resource type Ffeithiau a Fformwlâu - Fersiwn arlein
An electronic Welsh language version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Resource type Integration using a table of anti-derivatives
We may regard integration as the reverse of differentiation. So if we have a table of derivatives, we can read it backwards as a table of anti-derivatives. When we do this, we often need to deal with constants which arise in the process of differentiation.
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 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 Using a table of derivatives
This unit provides a basic table of some standard derivatives. Many of the results are derived.
Resource type Using partial derivatives to find stationary points - Numbas
Finding the stationary points of functions of 2 variables. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

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