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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.
Differential Equations Test 01 (DEWIS)Four questions on second order linear constant coefficient differential equations. The first two involve identifying the complementary function, the third involves applying initial conditions and the fourth involves finding a particular solution with either linear or sinusoidal forcing. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Solving linear equationsEquations always involve one or more unknown quantities which we try to find when we solve the equation. The simplest equations to deal with are linear equations. On this leaflet we describe how these are solved.
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.
Simultaneous linear equations - an AnimationThis mathtutor animation shows how solutions to simultaneous linear equations may be found. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Maths EGComputer-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.
Matrix arithmetic - NumbasThree questions on linear combinations and products of matrices. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Simulation of Linear and Non-linear Dynamic Systems using SpreadsheetsEXCEL has been used to provide simulation facilities in support of teaching control to engineers. This dictates a sampled data approach which fits in naturally with digital implementation of control. The technique also allows students to explore the affects of non-linearities in systems such as control signal saturation. It provides a â??hands-onâ?? dimension which students find valuable. The approach is capable of use with other dynamic systems and is not restricted to teaching control.
Polynomial division - Numbas2 questions. First question divides a cubic by a linear polynomial. The second divides a degree 4 polynomial by a degree 2 polynomial. 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 linear equationsThis leaflet explains how simple linear equations are solved. (Engineering Maths First Aid Kit 2.12)
Polynomial division - Numbas2 questions. First question divides a cubic by a linear polynomial. The second divides a degree 4 polynomial by a degree 2 polynomial.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Simultaneous linear equationsThis is a complete workbook introducing the solution of a pair of simultaneous linear equations. It contains plenty of examples and exercises.
It can be used as a free-standing resource or in conjunction with the mathtutor DVD.
Diagnostic Testing within Institutions - UMISTAll students are assessed using a paper-based written test on their first day in the department. The students are allowed to use any non-graphical calculator to help answer 48 questions of the type and standard that they should be familiar with from A-Level. The questions range across simple arithmetic and algebra through logs to differentiation and integration, finishing with some questions on vectors. Final solutions are filled in on an answer grid. The temporary streaming of the students is based on the results.
Diagnostic Testing within Institutions - Queen Mary, University of LondonAll students are assessed using a paper-based written test of multi-choice questions (MCQs). The test has 15 questions of which the students must pass with 12 correct. Two hours were allowed. All of the questions were on routine arithmetic and algebra with emphasis on manipulative drill and practice, e.g. decomposition into powers of primes, long division, fractions, BODMAS, surds, elementary function definition, and inequalities. The test is quite demanding and was introduced last year 2001. It is repeated for those who fail six times during the course of the year in a programme called â??Essential Mathematicsâ??. Passing it is a mandatory requirement to proceed into the second year.
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 the School of Mathematics & Statistics at Newcastle University.
Numerical Reasoning Practice Test 1 - AnswersThese are fully worked solutions to the 'Numerical Reasoning Practice Test 1'. The document has been designed to allow graduates to prepare for the Numerical Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by David Faulkner, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Numerical Reasoning Practice Test 2 - AnswersThese are fully worked solutions to the 'Numerical Reasoning Practice Test 2'. The document has been designed to allow graduates to prepare for the Numerical Reasoning test they may have to take during the job application process. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by David Faulkner, University of Hertfordshire and reviewed by Dr Kinga Zaczek, Royal Holloway, University of London. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Simultaneous Linear Equations Part 1IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simultaneous Linear Equations Part 2IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simultaneous Linear Equations Part 3IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simultaneous Linear Equations Part 4IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simultaneous Linear Equations Part 5IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simultaneous Linear Equations Part 6IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Simultaneous Linear Equations Part 7IPOD VIDEO: The purpose of this section is to look at the solution of simultaneous linear equations. We will see that solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Numeracy Professional Skills Practice Test 1 - AnswersThese are fully worked solutions to the 'Numeracy Professional Skills Practice Test 1'. The document has been designed to allow trainee teacher applicants to prepare for the Numeracy Professional Skills test. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Dr Kinga Zaczek, Royal Holloway, University of London and reviewed by Frances Whalley, University of Hertfordshire. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
Numeracy Professional Skills Practice Test 2 - AnswersThese are fully worked solutions to the 'Numeracy Professional Skills Practice Test 2'. The document has been designed to allow trainee teacher applicants to prepare for the Numeracy Professional Skills test. This resource has been contributed under a Creative Commons licence to the mathcentre Community Project by Dr Kinga Zaczek, Royal Holloway, University of London and reviewed by Frances Whalley, University of Hertfordshire. It is one of a series of 17 resources produced by the sigma Network Employability Special Interest Group.
