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Complex roots of real polynomials - NumbasFinding roots of a cubic and the roots of a quartic by inspection. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
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.
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. (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.
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. (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.
Concentration of solutions - Numbas3 questions. Mini-test on concentration of solutions. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Conic sectionsIn this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use
this to prove the reflective property of the parabola.
Conic sectionsIn this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.
Conic sectionsIn this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.
Conic Sections Part 1IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 2IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 3IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 4IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conic Sections Part 5IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Conservation of momentumThis leaflet introduces the concept of conservation of momentum in both one and two dimensions.
Continuous compoundingInterest earned on an investment, or due on a loan, is usually compounded. On occasions, interest is compounded continuously, which has the effect of increasing the amount of interest.
Conversion of unitsOn occasions it is necessary to convert from one system of units to another.
This leaflet explains how this is done.
Cosecant, Secant and CotangentThis unit explains what is meant by these three trigonometric ratios.
Graphs of the corresponding functions are provided.
Coventry University's Mathematics Support Centre's WebsiteThe Mathematics Support Centre at Coventry University (originally known as the BP Maths Centre) was established in 1991. The Centre aims to provide early identification of problems and on-going support for individual students. This is achieved through use of diagnostic testing, the provision of a wide range of resources and the availability of one-to-one assistance on drop-in basis. The Centre�?�¢??s website was launched in September 2000 to:
- extend the support provision to students who did not find it easy to visit the Centre (e.g. part-time students).
- provide access to a range of resources at times when the Centre is closed.
- deliver new support activities such as online practice tests and email questions.
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)
Cubic equationsThis booklet explains what is meant by a cubic equation and discusses the nature of the roots of cubic equations.
It explains a process called synthetic division which can be used to locate further roots when one root is known.
The graphical solution of cubic equations is also described.
Cubic Equations 1All 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 2All 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 3All 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 4All 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 5All 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.
