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Polynomial functionsMany common functions are polynomial functions. In this unit we describe
polynomial functions and look at some of their properties.
Composition of functionsWe can build up complicated functions from simple functions by using the
process of composition, where the output of one function becomes the input of
another. It is also sometimes necessary to carry out the reverse process,
decomposing a complicated function into two or more simple functions.
This unit explains how.
Polynomial functionsMany common functions are polynomial functions. In this unit we describe
polynomial functions and look at some of their properties. (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.
Exponential and logarithm functionsExponential functions and logarithm functions are important in both theory and practice. In this unit we look at the graphs of exponential and logarithm
functions, and see how they are related. (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.
Polynomial functionsMany common functions are polynomial functions. In this unit we describe
polynomial functions and look at some of their properties. (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.
The hyperbolic functionsThis leaflet gives definitions of the hyperbolic functions in terms of exponential functions.
Graphs of the hyperbolic sine, cosine and tangent are illustrated. (Engineering Maths First Aid Kit 3.5)
Exponential and logarithm functionsExponential functions and logarithm functions are important in both theory and
practice. In this unit we look at the graphs of exponential and logarithm
functions, and see how they are related.
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.
Differentiation of the logarithm and exponential functionsThis unit gives details of how logarithmic functions and exponential functions are differentiated from first principles. (Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation of the logarithm and exponential functionsThis unit gives details of how logarithmic functions and exponential functions are differentiated from first principles. (Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation for Economics and Business Studies Functions of Multi-Variable Functions (SOURCE)Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of Multi-Variable Functions" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
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.
Implicit DifferentiationSometimes functions are given not in the form y=f(x) but in a more complicated form in which it is difficult or impossible to express y explicitly in terms of x.. Such functions are called implicit functions. In this unit we explain how these can be differentiated using implicit differentiation. (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.
Implicit DifferentiationSometimes functions are given not in the form y=f(x) but in a more complicated form in which it is difficult or impossible to express y explicitly in terms of x.. Such functions are called implicit functions. In this unit we explain how these can be differentiated using implicit differentiation. (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.
Using partial derivatives to find stationary points - NumbasFinding the stationary points of functions of 2 variables. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Differentiation for Economics and Business Studies Functions of Multi-Variable FunctionsOverview of the rules of partial differentiation and methods of optimization of functions in Economics and Business Studies. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
What is a function?A quantity whose value can change is known as a variable. Functions are used to describe the rules which define the ways in which such a change can occur. The purpose of this leaflet is to explain functions and their notation.
Solving simultaneous equations using matrices - Numbas1 question. Solve a pair of linear equations in two unknowns by writing an equivalent matrix equation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Hyperbolic functions - David SaundersThis mathtutor extention video explains the derivation of hyperbolic functions starting from two-dimensional space. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Hyperbolic functions - David SaundersThis mathtutor extention video explains the derivation of hyperbolic functions starting from two-dimensional space. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
The hyperbolic identitiesThis leaflet lists common identities involving the hyperbolic functions. (Engineering Maths First Aid Kit 3.6)
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)
Introduction to functionsA 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.
Integration by partsThis leaflet explains integration by parts. This is a technique for integrating a product of two functions (two functions multiplied together). (Engineering Maths First Aid Kit 8.10)
