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Resource type a cos x + b sin x = R cos(x-alpha) - an Animation
This mathtutor animation shows how the formula a cos x + b sin x = R cos(x-alpha) may be derived using right angled triangles. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Adding and Subtracting Complex Numbers
This video explains how complex numbers can be added or subtracted. There is an accompanying leaflet. Sigma resource Unit 4. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Resource type Adding and Subtracting Complex Numbers
This video explains how complex numbers can be added or subtracted. There is an accompanying leaflet. Sigma resource Unit 4. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Resource type Adding and Subtracting Complex Numbers
This mobile phone video explains how complex numbers can be added or subtracted. There is an accompanying leaflet. Sigma resource Unit 4. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Resource type Adding and Subtracting Fractions Part 1
This video segment introduces the addition and subtraction of fractions. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Adding and Subtracting Fractions Part 2
This video segment shows how to add or subtract two fractions when the denominators are different. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Adding and Subtracting Fractions Part 3
This video segment continues with more examples on adding and subtracting fractions. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Adding and Subtracting Fractions Part 4
This video segment shows how to add/subtract mixed fractions. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Adding and Subtracting Fractions Part 5
This video segment shows the addition of three mixed fractions. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Animal movement - Iain Couzin
This extension video mathstutor shows how mathematical modelling and simulation is used to model animal movements, for example ant colonies, and how predictions may be made based on this data. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Animal surface area - Tom Roper
This mathtutor extention video explores the surface area to volume ratios of animals through cubes and some applications of this mathematical modelling. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Arithmetic and Geometric Progressions
This unit introduces sequences and series, and gives some simple examples of each. It also explores particular types of sequence known as arithmetic progressions (APs) and geometric progressions (GPs), and the corresponding series. (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.
Resource type Arithmetic and Geometric Progressions
This unit introduces sequences and series, and gives some simple examples of each. It also explores particular types of sequence known as arithmetic progressions (APs) and geometric progressions (GPs), and the corresponding series. (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.
Resource type biomathtutor
biomathtutor presents students with a filmed bioscience-based scenario and guides them through some of the mathematics they need to understand and grow confident and competent in using routinely. The case-study scenario, covering practical aspects of haematology and microbiology, is presented via a narrated film, 24 min in length, but divided up into short sections. The film tracks the diagnosis and treatment of a student with anaemia and a throat infection and links the clinical findings and diagnoses to 33 interactive questions and relevant maths tutorials. An additional 24 interactive questions cover the same range of basic mathematical concepts presented in similar biological contexts, with a view to reinforcing students' learning. biomathtutor was developed by Vicki Tariq (University of Central Lancashire), John Heritage and Tom Roper (University of Leeds), Andrew Bond (University of Westminster), Mike Tribe (University of Sussex) and the EBS Trust. It was funded by HEFCE through its National Teaching Fellowship Scheme. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by EBS Trust 2006. NOTE: This resource has been tested on a Windows platform with Internet Explorer. There are known problems with Firefox and/or Apple systems.
Resource type Calculus Refresher
A refresher booklet on Calculus (differentiation and integration)
Resource type Cartesian components of vectors
Any vector may be expressed in Cartesian components, by using unit vectors in the directions of the coordinate axes. In this unit we describe these unit vectors in two dimensions and in three dimensions, and show how they can be used in calculations. (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.
Resource type Cartesian components of vectors
Any vector may be expressed in Cartesian components, by using unit vectors in the directions of the coordinate axes. In this unit we describe these unit vectors in two dimensions and in three dimensions, and show how they can be used in calculations. (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.
Resource type Completing the square - an Animation
This mathtutor animation shows how the quadratic equation for a parabola may be transformed by completing the square. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Completing the square - an Animation
This mathtutor animation shows how the quadratic equation for a parabola may be transformed by completing the square. The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Completing the Square - by Inspection
In this unit we consider how quadratic expressions can be written in an equivalent form using the technique known as completing the square. This technique has applications in a number of areas, but we will see an example of its use in solving a quadratic equation. (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.
Resource type Completing the Square - by Inspection
In this unit we consider how quadratic expressions can be written in an equivalent form using the technique known as completing the square. This technique has applications in a number of areas, but we will see an example of its use in solving a quadratic equation. (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.
Resource type Completing the Square - maxima & maxima
Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic functions. (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.
Resource type Completing the Square - maxima & maxima
Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic functions. (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.
Resource type Completing the Square (to find MAX and MIN values) Part 1
Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
Resource type Completing the Square (to find MAX and MIN values) Part 2
Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.
Resource type Completing the Square (to find MAX and MIN values) Part 3
Completing the square is an algebraic technique which has several applications. These include the solution of quadratic equations. In this unit we use it to find the maximum or minimum values of quadratic 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.

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