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Cubic Equations 7All cubic equations have either one real root, or three real roots. In this video we explore why this is so.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Cubic Equations 8All cubic equations have either one real root, or three real roots. In this video we explore why this is so.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Trig functions: cosecant, secant and cotangentIn this unit we see how the three trigonometric ratios cosecant, secant and cotangent can appear in trigonometric identities and in the solution of trigonometric equations. Graphs of the functions are obtained from a knowledge of sine, cosine and 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.
Trig functions: cosecant, secant and cotangentIn this unit we see how the three trigonometric ratios cosecant, secant and cotangent can appear in trigonometric identities and in the solution of trigonometric equations. Graphs of the functions are obtained from a knowledge of sine, cosine and 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.
Solving Quadratic EquationsThis unit is about the solution of quadratic equations. These take the form ax2+bx+c = 0. We will look at four methods: solution by factorisation, solution by completing the square, solution using a formula, and solution using graphs.
(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.
Solving Quadratic EquationsThis unit is about the solution of quadratic equations. These take the form ax2+bx+c = 0. We will look at four methods: solution by factorisation, solution by completing the square, solution using a formula, and solution using graphs.
(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.
Factorising quadratics - Numbas3 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.
Equations of motionThis 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.
Equations of motion (SOURCE)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.
Interactive starting points for problem solving in undergraduate mathematicsAn innovative and sustainable online bank of starting points for problem- solving, presented in an interactive, visual and engaging way that will nurture mathematical thinking, logical processes and modelling. The starting points will permit a range of teaching approaches - individual, small group and whole class. They will be fully functional on a range of digital technologies including handhelds. These resources were created by the project Problem Solving in Undergraduate Mathematics (PSUM) and are available via Nrich. This website is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.
Rearranging equations - NumbasRearrange equations to make $x$ the subject. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Solving inequalitiesThis booklet explains linear and quadratic inequalities and how they can be solved algebraically and graphically.
It includes information on inequalities in which the modulus symbol is used.
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.
Solving Inequalities 1This video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Solving Inequalities 2This video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Solving Inequalities 3This video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Solving Inequalities 4This video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Solving Inequalities 5This video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Indicial equationsAn indicial equation is one in which the power is unknown. Such equations often occur in the calculation of compound interest.
Algebra Refresher - Interactive versionAn interactive version of the refresher booklet on Algebra including links to other resources for further explanation. It includes revision, exercises and solutions on fractions, indices, removing brackets, factorisation, algebraic frations, surds, transpostion of formulae, solving quadratic equations and some polynomial equations, and partial fractions. An interactive version and a welsh language version are available.
Solving InequalitiesThis video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used. (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.
Systems of linear equations - Numbas3 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.
Solving InequalitiesThis video explains linear and quadratic inequalities and how they can be solved algebraically and graphically. It includes information on inequalities in which the modulus symbol is used. (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.
Numerical Reasoning Practice Test 1 - AnswersThese are fully worked solutions to the 'Numerical Reasoning Practice Test 1'. The document has been designed to allow graduates to prepare for the Numerical Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by David Faulkner, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Numerical Reasoning Practice Test 2 - AnswersThese are fully worked solutions to the 'Numerical Reasoning Practice Test 2'. The document has been designed to allow graduates to prepare for the Numerical Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by David Faulkner, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
First Order Ordinary Differential Equations (SOURCE)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.
