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Introduction to Functions - Part 5IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to Functions - Part 6IPOD VIDEO: A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Inverse functionsAn inverse function is a second function which undoes the work of the first
one. In this unit we describe two methods for finding inverse functions, and we
also explain that the domain of a function may need to be restricted before an
inverse function can exist.
Inverse functionsAn inverse function is a second function which undoes the work of the first
one. In this unit we describe two methods for finding inverse functions, and we also explain that the domain of a function may need to be restricted before an inverse function can exist. (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.
Inverse functionsAn inverse function is a second function which undoes the work of the first
one. In this unit we describe two methods for finding inverse functions, and we also explain that the domain of a function may need to be restricted before an inverse function can exist. (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.
Limits of functionsIn 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)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Limits of functionsIn 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.
Limits of functionsIn 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.
Linear functionsSome of the most important functions are linear. This unit describes how to
recognize a linear function, and how to find the slope and the y-intercept
of its graph.
Linear functionsSome of the most important functions are linear. This unit describes how to
recognize a linear function, and how to find the slope and the y-intercept
of its graph. (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.
Linear functionsSome of the most important functions are linear. This unit describes how to
recognize a linear function, and how to find the slope and the y-intercept
of its graph. (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.
Linear relationshipsIn many business applications, two quantities are related linearly. This means a graph of their relationship forms a straight line. This leaflet discusses one form of the mathematical equation which describes linear relationships.
Linearity rulesThis leaflet explains how to differentiate the sum of two functions, and constant multiples of functions, using 'linearity rules'. (Engineering Maths First Aid Kit 8.3)
Linearity rulesThere are two rules known as linearity rules which, when used with a table of derivatives, enable us to differentiate a wider range of functions. These rules are summarised in this leaflet.
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)
Mathematics for Chemistry Facts & Formulae - Onscreen versionAn electronic version of the Mathematics for Chemistry Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Mathematics for Chemistry Facts & Formulae - Print versionThis is a high resolution electronic copy of the Chemistry 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.
Mathematics for Chemistry Facts and Formulae - Large Print versionA large print version of the Chemistry 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.
Mathematics for Computer Science Facts & Formulae - Large Print VersionA large print version of the Mathematics for Computer Science 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.
Mathematics for Computer Science Facts & Formulae - Onscreen versionAn electronic version of the Facts & Formulae leaflet for computer science designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Mathematics for Computer Science Facts & Formulae - Print versionThis is a high resolution electronic copy of the Mathematics for Computer Science 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.
Mathematics Support Materials from the University of Plymouth
Support material from the University of Plymouth:
The output from this project is a library of portable, interactive, web based support packages to help students learn various mathematical ideas and techniques and to support classroom teaching.
There are support materials on ALGEBRA, GRAPHS, CALCULUS, and much more.
This material is offered through the mathcentre site courtesy of Dr Martin Lavelle and Dr Robin Horan from the University of Plymouth.
The output from this project is a library of portable, interactive, web based support packages to help students learn various mathematical ideas and techniques and to support classroom teaching.
There are support materials on ALGEBRA, GRAPHS, CALCULUS, and much more.
This material is offered through the mathcentre site courtesy of Dr Martin Lavelle and Dr Robin Horan from the University of Plymouth.
Maths EGComputer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.
Maths EG Teacher InterfaceThe teacher interface for Maths EG which may be used for computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. Teachers need to register (top right of screen) and thereafter login to use the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.
Matrix inversion of a 3x3 matrixMatrices 11: This leaflet explains how to calculate the inverse of a 3x3 matrix. There is an accompanying video tutorial.
