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Solving equations involving logarithms and exponentialsThis leaflet shows how simple equations involving logarithms or exponentials can be solved. (Engineering Maths First Aid Kit 3.8)
Arithmetic and Geometric ProgressionsThis 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.
Limits of sequencesIn this unit, we recall what is meant by a simple sequence, and introduce
infinite sequences. We explain what it means for two sequences to be the same, and what is meant by the n-th term of a sequence. We also investigate the behaviour of infinite sequences, and see that they might tend to plus or minus infinity, or to a real limit, or behave in some other way. (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.
Arithmetic and Geometric ProgressionsThis 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.
Solving linear equationsThis leaflet explains how simple linear equations are solved. (Engineering Maths First Aid Kit 2.12)
Finding areas by integrationIntegration can be used to calculate areas. In simple cases, the area is given
by a single definite integral. But sometimes the integral gives a negative
answer which is minus the area, and in more complicated cases the correct
answer can be obtained only by splitting the area into several parts and adding
or subtracting the appropriate integrals. (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.
Limits of sequencesIn this unit, we recall what is meant by a simple sequence, and introduce
infinite sequences. We explain what it means for two sequences to be the same, and what is meant by the n-th term of a sequence. We also investigate the behaviour of infinite sequences, and see that they might tend to plus or minus infinity, or to a real limit, or behave in some other way. (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.
Finding areas by integrationIntegration can be used to calculate areas. In simple cases, the area is given
by a single definite integral. But sometimes the integral gives a negative
answer which is minus the area, and in more complicated cases the correct
answer can be obtained only by splitting the area into several parts and adding
or subtracting the appropriate integrals. (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.
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.
Arithmetic and Geometric ProgressionsThis 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.
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.
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.
Multiplication and division in polar formThis leaflet explains how complex numbers in polar form can be multiplied and divided.
In polar form, these operations are particularly simple to carry out.(Engineering Maths First Aid Kit 7.6)
Strengthening student engagement with quantitative subjects in a Business FacultyThis paper reflects on the results of research undertaken at a large UK university relating to the teaching of quantitative subjects within a Business Faculty. It builds on a simple model of student engagement and, through the description of three case studies, describes research undertaken and developments implemented to strengthen aspects of the model, enhance student engagement and help meet the requirements of employers in terms of graduate skills. The paper also outlines some areas for future research.
Jon Warwick and Anna Howard (2014) Strengthening student engagement with quantitative subjects in a
Business Faculty. e-Journal of Business Education & Scholarship of Teaching, 8(1) pp: 32-43.
http://www.ejbest.org/upload/eJBEST_Warwick_Howard_-_8(1)_2014.pdf
Integration using partial fractions - Numbas4 questions on using partial fractions to solve indefinite integrals. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
1. Percentages, fractions and decimalsA numeracy leaflet covering percentages, fractions and decimals. This is one of 24 numeracy resources created by by Eleanor Lingham, De Montfort University and reviewed by Julie Crowley, Cork Institute of Technology. Development. They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.
10. Line GraphsA numeracy leaflet covering how to interpret line graphs. This is one of 24 numeracy resources created by by Eleanor Lingham, De Montfort University and reviewed by Julie Crowley, Cork Institute of Technology. Development. They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.
11. HistogramsA numeracy leaflet covering how to interpret histograms. This is one of 24 numeracy resources created by by Eleanor Lingham, De Montfort University and reviewed by Julie Crowley, Cork Institute of Technology. Development. They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.
12. Double ChartsA numeracy leaflet covering how to interpret charts. This is one of 24 numeracy resources created by by Eleanor Lingham, De Montfort University and reviewed by Julie Crowley, Cork Institute of Technology. Development. They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.
13. TablesA numeracy leaflet covering interpreting split tables. This is one of 24 numeracy resources created by by Eleanor Lingham, De Montfort University and reviewed by Julie Crowley, Cork Institute of Technology. They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.
