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Pythagoras' theoremPythagoras theorem - the square on the hypotenuse is equal to the sum of the squares on the other two sides - is well known. In this tutorial we revise the theorem and use it to solve problems in right-angled triangles. A less familiar form of the theorem is also considered. (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.
Pythagoras' Theorem - an AnimationThis mathtutor animation shows visually that the square on the hypotenuse is equal to the sum of the squares on the other two sides. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Pythagoras' Theorem - an AnimationThis mathtutor animation shows visually that the square on the hypotenuse is equal to the sum of the squares on the other two sides. The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Quadratic equations 1This leaflet explains how to solve a quadratic equation by factorisation. (Engineering Maths First Aid Kit 2.14)
Quadratic equations 2This leaflet explains how quadratic equations can be solved using the formula. (Engineering Maths First Aid Kit 2.15)
Quick Reference Pack - All resourcesThis pack contains all of the original generic mathcentre quick reference leaflets.
It may be downloaded as a zip file. Select Save to download the zip file to your computer.
Quick Reference Pack - Business resourcesThis pack contains all of the mathcentre quick reference leaflets designed for use with business and accountancy students. It may be downloaded as a zip file. Select Save to download the zip file to your computer.
Quotient Rule examples - Numbas8 questions on the quotient rule.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Quotient rule practice - Numbas8 questions on the quotient rule in differentiation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Radian measureMost people usually learn to measure an angle in degrees. But in many scientific and engineering calculations radians are used in preference to degrees.
(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.
Radian measureMost people usually learn to measure an angle in degrees. But in many scientific and engineering calculations radians are used in preference to degrees.
(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.
RatiosA ratio is a way of comparing two or more similar quantities, by writing two
or more numbers separated by colons. The numbers should be whole numbers, and should not include units. (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.
RatiosA ratio is a way of comparing two or more similar quantities, by writing two
or more numbers separated by colons. The numbers should be whole numbers, and should not include units. (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.
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.
Rearranging formulas 1This leaflet explains how simple formulae are rearranged. (Engineering Maths First Aid Kit 2.10)
Rearranging formulas 2This leaflet explains how formulae can be rearranged. (Engineering Maths First Aid Kit 2.11)
Reflections - Tony McWalterTony McWalter reflects on the role of mathematics in decision making, mathematics teaching and the view of society and young people towards maths in this mathstutor extention video. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Removing brackets 1This leaflet explains how to expand or remove brackets from an algebraic expression. (Engineering Maths First Aid Kit 2.3)
Removing brackets 1In order to simplify mathematical expressions, it is frequently necessary to 'remove brackets'. This leaflet explains the rules for replacing bracketed terms, with non-bracketed equivalents.
Removing brackets 2This leaflet explains how to multiply together two bracketed linear expressions. (Engineering Maths First Aid Kit 2.4)
Rules of arithmetic - Numbas4 questions testing the precedence of operations applied to integers. In other words testing BIDMAS: Brackets, Indices, Division/Multiplication and Addition/Subtraction.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Scientific notationThis leaflet explains scientific notation. (Engineering Maths First Aid Kit 1.3)
Second order differential equations - Numbas5 questions on second order differential equations.
First two and last, linear with constant coefficients; first two homogeneous, complex and repeated roots. Last, non-homogeneous. Third, motion under gravity. Fourth, linear with a given particular solution (variation of parameters).
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Second Order Ordinary Differential EquationsSecond Order Differential Equations: A summary of how to solve second order ODEs with constant coefficients: how to solve homogeneous equations (with no right hand-side) and how to solve equations with a right hand-side (method of undetermined coefficients and methods of variation of parameters). 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.
Second Order Ordinary Differential Equations (SOURCE)A zip file containing the LaTeX source files and metadata for the Teach Yourself leaflet on Second Order Differential Equations: A summary of how to solve second order ODEs with constant coefficients: how to solve homogeneous equations (with no right hand-side) and how to solve equations with a right hand-side (method of undetermined coefficients and methods of variation of parameters). 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.
Sequences and limits - Numbas3 questions. One question on limits of standard sequences. Other two on finding least $N$ such that $|a_n-L |lt 10^{-r},;;n geq N$ where $L$ is limit of $(a_n)$. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
