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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)
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 leaflet explains how quadratic expression can be factorised by inspection. (Engineering Maths First Aid Kit 2.6)

3 questions on factorising quadratics. The second question also asks for the roots of the quadratic. The third question involves factorising quartic polynomials but which are quadratics in $x^2$.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

This leaflet explains how to factorise simple expressions by looking for common factors. (Engineering Maths First Aid Kit 2.5)

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.

An electronic version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.

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.

A onscreen version of the Fact & Formulae leaflet for Functional Mathematics contributed to the mathcentre Community Project by Anne Townsend.

A Fact & Formulae leaflet for Functional Mathematics contributed to the mathcentre Community Project by Anne Townsend. This leaflet is designed to be printed landscape on A4 and folded.

A zip file containing the LaTeX files and images for the Fact & Formulae leaflet for Functional Mathematics contributed to the mathcentre Community Project by Anne Townsend, Central College Nottingham.

This mathtutor extension discusses how mathematical modelling using differentiation may be used to determine optimum delivery sizes. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This is a Welsh language version of the Economics Facts & Formulae Leaflet. It is designed to be viewed onscreen or printed on A4 as a double-sided folded leaflet. Print quality is printer dependant. 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.

An A3 print version of the Facts & Formulae leaflet for computer science designed to be viewed onscreen. 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.

An electronic version of the Facts & Formulae leaflet for computer science 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.

This is a Welsh language version of the Mechanics 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.

An electronic Welsh language version of the Facts & Formulae leaflet for mechanics 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.

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.

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.

The extention video from mathtutor explains the Fibonacci sequence and shows where it appears in music. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Integration can be used to calculate areas. In simple cases, the area is given
by a single definite integral. But sometimes the integral gives a negative
answer which is minus the area, and in more complicated cases the correct
answer can be obtained only by splitting the area into several parts and adding
or subtracting the appropriate integrals. (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.

Integration can be used to calculate areas. In simple cases, the area is given
by a single definite integral. But sometimes the integral gives a negative
answer which is minus the area, and in more complicated cases the correct
answer can be obtained only by splitting the area into several parts and adding
or subtracting the appropriate integrals. (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.

9 questions on first order differential equations.
Straight forward integration (2), separating variables (4), linear (1), homogenous (2). All are either initial value or boundary value problems.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

9 questions on first order differential equations. Straight forward integration (2), separating variables (4), linear (1), homogenous (2). All are either initial value or boundary value problems. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

First Order Differential Equations: A summary of five common methods to solve first order ODEs: direct integration, separation of variables, homogeneous equations, integrating factor and Bernouilli equations. 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.

A zip file containing the LaTex source files and metatdata for the Teach Yourself resource First Order Differential Equations: A summary of five common methods to solve first order ODEs: direct integration, separation of variables, homogeneous equations, integrating factor and Bernouilli equations. This resource is contributed to the mathcentre Community Project by Morgiane Richard, University of Aberdeen and is reviewed by Shazia Ahmed, University of Glasgow.

This extension video mathstutor discusses Newton's second law of motion. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.