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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.
Matrix inversion of a 3x3 matrixMatrices 11: This video tutorial explains how to calculate the inverse of a 3x3 matrix. There is an accompanying help leaflet.
Matrix inversion of a 3x3 matrixMatrices 11: This video tutorial explains how to calculate the inverse of a 3x3 matrix. There is an accompanying help leaflet.
Parametric differentiationInstead of a function y(x) being defined explicitly in terms of the independent variable x, it is sometimes useful to
define both x and y in terms of a third variable, t say, known as a parameter. In this unit we explain how such
functions can be differentiated using a process known as parametric 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.
Parametric differentiationInstead of a function y(x) being defined explicitly in terms of the independent variable x, it is sometimes useful to
define both x and y in terms of a third variable, t say, known as a parameter. In this unit we explain how such
functions can be differentiated using a process known as parametric 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.
Polynomial functionsMany common functions are polynomial functions. In this unit we describe
polynomial functions and look at some of their properties.
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.
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.
Product Rule Practice - Numbas10 questions on the product rule in differentiation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Quotient rule practice - Numbas8 questions on the quotient rule in differentiation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Sine, cosine and tangent of an angle of any sizeThis unit explains how we define the trig ratios sine, cosine, and tangent for an angle of arbitrary size.
Sine, cosine and tangent of an angle of any sizeKnowledge of the trigonometric ratios sine, cosine and tangent is vital in many fields of engineering, maths and science. This unit explains how the sine, cosine and tangent of an arbitrarily sized angle can be found. (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.
Sine, cosine and tangent of an angle of any sizeKnowledge of the trigonometric ratios sine, cosine and tangent is vital in many fields of engineering, maths and science. This unit explains how the sine, cosine and tangent of an arbitrarily sized angle can be found. (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.
Solving simple linear equations - Numbas2 equations, both linear (the second needs a small amount of algebra to reduce to a linear 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.
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.
Solving trigonometrical equationsThe strategy we adopt in solving trigonometric equations is to find one solution using knowledge of commonly occurring angles and then use the symmetries in the graphs of the trigonometric functions to deduce additional solutions. (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.
Solving trigonometrical equationsThe strategy we adopt in solving trigonometric equations is to find one solution using knowledge of commonly occurring angles and then use the symmetries in the graphs of the trigonometric functions to deduce additional solutions. (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.
System of linear equations - Numbas3 questions. First, two equations in two unknowns, second 3 equations in 3 unknowns, solved by Gauss elimination.
The third two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Systems of linear equations - Numbas3 questions. First, two equations in two unknowns; second 3 equations in 3 unknowns, solved by Gauss elimination. The third, two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Table of derivativesThis leaflet provides a table of common functions and their derivatives, and the opportunity to practice using it.
Table of derivativesThis leaflet provides a table of common functions and their derivatives. (Engineering Maths First Aid Kit 8.2)
Table of integralsThis leaflet provides a table of integrals of common functions. (Engineering Maths First Aid Kit 8.7)
Teaching Mathematics to First Year Undergraduate Chemists in the Context of their DisciplineNew entrants to chemistry degree programmes are given a 24 hour course in mathematics if they do not have an A level qualification in the subject. This concentrates only on the skills necessary to successfully complete the first year physical chemistry course; these include simple statistics, functions, partial differentiation and integration. The course is taught using chemically relevant examples, in an order related to the chemistry course rather than traditional mathematics courses.
The cosine functionVideo for iPod.
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 double angle formulaeDouble angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A. (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 double angle formulaeDouble angle formulae are so called because they involve trigonometric functions of double angles e.g. sin 2A, cos 2A and tan 2A. (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.
