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Linear Programming - NumbasQuestions on linear programming techniques, with interactive graphics. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Exploiting Synergies between Teaching Mathematics and Programming to Second Year Engineering StudentStudents in Aeronautical Engineering are taught MATLAB in the first year to provide them with programming skills and for use in later courses. In the second year MATLAB is used to enhance the teaching of linear algebra and to apply the mathematical techniques to engineering problems.
Linear inequalitiesThe ability to study regions defined by linear inequalities is helpful when studying linear programming. This leaflet reminds you how to sketch these regions.
Partial Fractions Test 01 (DEWIS)Four questions on partial fractions. All questions involve proper fractions and contain a mixture of denominator types: distinct linear factors, repeated linear factors, a quadratic factor. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
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.
Maths EG Teacher InterfaceThe teacher interface for Maths EG which may be used for computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. Teachers need to register (top right of screen) and thereafter login to use the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.
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.
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.
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 the School of Mathematics & Statistics at Newcastle University.
Second order differential equations - Numbas5 questions on second order differential equations.
First two and last, linear with constant coefficients; first two homogeneous, complex and repeated roots. Last, non-homogeneous. Third, motion under gravity. Fourth, linear with a given particular solution (variation of parameters).
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Linear relationshipsIn many business applications, two quantities are related linearly. This means a graph of their relationship forms a straight line. This leaflet discusses one form of the mathematical equation which describes linear relationships.
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.
Simple Linear EquationsIn this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x2, x3, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
(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.
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.
Simple linear equationsThis leaflet shows how simple linear equations can be solved by
performing the same operations on both sides of the equation.
Linear Equations in One Variable Part 1IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 2IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 3IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 4IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 5IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 6IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 7IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simple Linear EquationsIn this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x2, x3, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
(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.
First order differential equations - Numbas9 questions on first order differential equations. Straight forward integration (2), separating variables (4), linear (1), homogenous (2). All are either initial value or boundary value problems. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Linear equations in one variableThis is a complete workbook introducing the solution of a single linear equation in one variable. It contains plenty of examples and exercises.
It can be used as a free-standing resource or in conjunction with the mathtutor DVD.
