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Factorising simple expressionsThis leaflet explains how to factorise simple expressions by looking for common factors. (Engineering Maths First Aid Kit 2.5)
Linearity rules of integrationThis leaflet explains how to integrate the sum of two functions, and constant multiples of functions, using 'linearity rules'. (Engineering Maths First Aid Kit 8.8)
Maths E.G.An e-assessment system containing almost 2000 mathematics questions with random parameters and feedback spanning topics from GCSE to undergraduate level 2. Each question in the database will generate thousands of examples, each with fully-worked solutions. The MSOR Network supported the development of questions in elementary discrete mathematics (sets, logic and graph theory) as part of the National HE STEM Programme. Maths E.G. is delivered under a Creative Commons BY-SA licence.
Polar coordinatesThis leaflet explains plane polar coordinates. (Engineering Maths First Aid Kit 3.9)
Degrees and radiansThis leaflet explains how angles can be measured both in degrees and in radians.
It explains how to convert from degrees to radians and vice-versa. (Engineering Maths First Aid Kit 4.1)
Partial fractions 3This leaflet explains how to find partial fractions of improper fractions. (Engineering Maths First Aid Kit 2.25)
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 exponential formComplex numbers can be written in exponential form. This leaflet explains how this is done. (Engineering Maths First Aid Kit 7.7)
Solving linear equationsThis leaflet explains how simple linear equations are solved. (Engineering Maths First Aid Kit 2.12)
The straight lineThis leaflet describes the equation of a straight line in the form y=mx+c. It explains the meaning o the terms gradient and vertical intercept. (Engineering Maths First Aid Kit 3.3)
Scientific notationThis leaflet explains scientific notation. (Engineering Maths First Aid Kit 1.3)
Table of integralsThis leaflet provides a table of integrals of common functions. (Engineering Maths First Aid Kit 8.7)
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 sine rule and cosine ruleThis leaflet states the sine and cosine rules and gives examples of their use. (Engineering Maths First Aid Kit 4.6)
The graph of a functionThis leaflet reminds students of important conventions associated with graph plotting.
It explains the terms dependent variable and independent variable.(Engineering Maths First Aid Kit 3.2)
The Changing Relationship: Civil/Structural Engineers and MathsMathematics is vital for civil engineers but its role is changing. Arup chairman Duncan Michael [1] has argued for less emphasis on the teaching of mathematics. Here we report on a necessary change of emphasis but also argue the importance of a good mathematical education for all engineers
Graphs of the trigonometric functionsThis leaflet gives graphs of the functions
sine, cosine and tangent and notes some important properties. (Engineering Maths First Aid Kit 4.3)
The scalar productThis leaflet defines the scalar product of two vectors and gives some examples. It shows how the scalar product can be used to find the angle between two vectors. (Engineering Maths First Aid Kit 6.2)
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.
Negative and fractional powersThis leaflet reminds students how to interpret negative or fractional powers. (Engineering Maths First Aid Kit 2.2)
Facts & Formulae - Onscreen versionAn electronic version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Graphical solution of inequalitiesThis leaflet explains how graphs are used in the solution of inequalities. (Engineering Maths First Aid Kit 2.18)
Table of derivativesThis leaflet provides a table of common functions and their derivatives. (Engineering Maths First Aid Kit 8.2)
Cramer's ruleCramer's rule can be used to solve simultaneous equations using determinants.
This leaflet states and illustrates the rule. (Engineering Maths First Aid Kit 5.2)
Facts & Formulae - Print versionThis 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.
