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The form Rcos(x-a)In this unit we explore how the sum of two trigonometric functions e.g.3 cos x plus 4 sin x, can be expressed as a single trigonometric function. Having the ability to do this enables us to solve trigonometric equations and find maximum and minimum values. (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.
The form Rcos(x-a)In this unit we explore how the sum of two trigonometric functions e.g.3 cos x plus 4 sin x, can be expressed as a single trigonometric function. Having the ability to do this enables us to solve trigonometric equations and find maximum and minimum values. (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.
Mathematical Tools for Physical Sciences and Systems BiologyThis leaflet is a summary of common mathematical definitions and properties used in the Physical Sciences and Systems Biology contributed to the mathcentre Community Project by Dr Morgiane Richard, University of Aberdeen and reviewed by Mamen Romano and Ian Stansfield, University of Aberdeen.
Tangents and NormalsThis unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve.
The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is
perpendicular to the tangent. (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.
Completing the Square - maxima & maximaCompleting 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.
Tangents and NormalsThis unit explains how differentiation can be used to calculate the equations of the tangent and normal to a curve.
The tangent is a straight line which just touches the curve at a given point. The normal is a straight line which is
perpendicular to the tangent. (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.
Completing the Square (to find MAX and MIN values) Part 1Completing 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.
Completing the Square (to find MAX and MIN values) Part 2Completing 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.
Completing the Square (to find MAX and MIN values) Part 3Completing 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.
Completing the Square (to find MAX and MIN values) Part 4Completing 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.
Completing the Square (to find MAX and MIN values) Part 5Completing 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.
Completing the Square (to find MAX and MIN values) Part 6Completing 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.
Completing the Square - maxima & maximaCompleting 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.
Mathematical Tools for Physical Sciences and Systems Biology (SOURCE)A zip file containing the LaTex source files and metatdata for the leaflet - a summary of common mathematical definitions and properties used in the Physical Sciences and Systems Biology contributed to the mathcentre Community Project by Dr Morgiane Richard, University of Aberdeen and reviewed by Mamen Romano and Ian Stansfield, University of Aberdeen.
Equations of a straight lineIn this unit we find the equation of a straight line, when we are given some
information about the line. The information could be the value of its gradient,
together with the co-ordinates of a point on the line. Alternatively, the
information might be the co-ordinates of two different points on the line.
There are several different ways of expressing the final equation, and some
are more general than others.
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.
Equations of a straight lineIn this unit we find the equation of a straight line, when we are given some
information about the line. The information could be the value of its gradient,
together with the co-ordinates of a point on the line. Alternatively, the
information might be the co-ordinates of two different points on the line.
There are several different ways of expressing the final equation, and some
are more general than others. (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.
Equations of a Straight Line Part 1IPOD VIDEO:
In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Equations of a Straight Line Part 2IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Equations of a Straight Line Part 3IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Equations of a Straight Line Part 4IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Equations of a Straight Line Part 5IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Equations of a Straight Line Part 5IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Equations of a straight lineIn this unit we find the equation of a straight line, when we are given some
information about the line. The information could be the value of its gradient,
together with the co-ordinates of a point on the line. Alternatively, the
information might be the co-ordinates of two different points on the line.
There are several different ways of expressing the final equation, and some
are more general than others. (Mathtutor Video Tutorials)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
University of East Anglia (UEA) Interactive Mathematics and Statistics Resources The Learning Enhancement Team at the University of East Anglia (UEA) has developed la series of interactive resources accessible via Prezi mind maps : Steps into Numeracy, Steps into Algebra, Steps into Trigonometry, Bridging between Algebra and Calculus, Steps into Calculus, Steps into Differential Equations, Steps into Statistics and Other Essential Skills.
Process Systems Engineering - A Course in Computing and Numerical Methods for Second Year Chemical EngineersWe describe a course aimed at providing chemical engineering students with an understanding of the fundamental classes of equations which occur in chemical engineering, the mathematical basis of their numerical solution methods and the basic methods of implementing these in a high level computing language. The course thus integrates elements of both conceptual and practical mathematics and computing.
