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1. Title

## Answers: Discrete mathematics: A-Level course material

Description
This resource provides the answers to the exercises included in the 15 chapters dealing with discrete mathematics which are contained within the wider collection of A-Level course material provided by the Centre for Innovation in Mathematics Teaching, University of Plymouth. The individual chapters are also catalogued in the e-library.
Publisher
Centre for Innovation in Mathematics Teaching (CIMT), University of Plymouth
http://www.cimt.plymouth.ac.uk/projects/mepres/alevel/discrete_solutions.pdf
2. Title

## Arithmetic: Economics fact & formulae

Description
A basic introduction to multiplying positive or negative numbers, and the arithmetic of fractions. The resource forms 1 of 5 fact sheets on maths for economics produced by mathcentre.
Publisher
mathcentre
http://www.mathcentre.ac.uk/search/?q=%22large+print%22&saudience=all&cat%5B%5D=512
3. Title

## Arithmetic: Mathematics for chemistry facts and formulae

Description
A basic introduction to multiplying positive or negative numbers, and the arithmetic of fractions. Definitions of ratios and percentages are included. The resource forms 1 of 11 mathematics for chemistry fact sheets produced by mathcentre.
Publisher
mathcentre
http://www.mathcentre.ac.uk/search/?q=%22large+print%22&saudience=all&cat%5B%5D=512
4. Title

## Binary numbers 1: Mathematics support materials

Description
This resource on the addition and subtraction of binary numbers includes quizzes, exercises and worked examples. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/binary_nos1.pdf
5. Title

## Binary numbers 2: Mathematics support materials

Description
This resource on the multiplication and division of binary numbers includes quizzes, exercises and worked examples. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/binary_nos2.pdf
6. Title

## Changing units: Mathematics support materials

Description
This resource on units of measurement and their conversion includes quizzes, exercises and worked examples. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/conv_units.pdf
7. Title

## Complex numbers: A-Level course material

Description
This resource provides a discussion of a range of topics relating to complex numbers. These include: plotting complex numbers on an Argand diagram, relating graphs of polynomials, performing operations on complex numbers, understanding polar forms and Euler's relation, and applying de Moivre's theorem. Numerous worked examples are presented, with illustrations where applicable. The resource is chapter 3 of 9 dealing with further pure mathematics, as part of a wider collection of A-Level course material provided by the Centre for Innovation in Mathematics Teaching, University of Plymouth. Answers to the exercises are also catalogued in the e-library.
Publisher
Centre for Innovation in Mathematics Teaching (CIMT), University of Plymouth
http://www.cimt.plymouth.ac.uk/projects/mepres/alevel/fpure_ch3.pdf
8. Title

## Complex numbers: Facts & formulae

Description
This resource provides a basic introduction to complex numbers (Cartesian, polar and exponential forms), Euler's relations, De Moivre's theorem, and some basic examples of vectors. The resource forms 1 of 11 general maths fact sheets produced by mathcentre.
Publisher
mathcentre
http://www.mathcentre.ac.uk/search/?q=%22large+print%22&saudience=all&cat%5B%5D=512
9. Title

## Complex numbers: LearningSpace: Open University

Description
This advanced module on complex numbers covers the complex number system, the relationship between complex numbers and points in the plane, subsets of the complex number system and the Nested Rectangles Theorem. Self-assessment questions and answers are provided. The module is expected to take twenty hours to complete and is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016).
Publisher
Open University
http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/complex-numbers/content-section-0
10. Title

## Diagrams, charts and graphs: LearningSpace: Open University

Description
This introductory module covers the presentation and interpretation of information in the form of diagrams, charts and graphs. Exercises are included. The module is expected to take five hours to complete and is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016).
Publisher
Open University
http://www.open.edu/openlearn/education/mathematics-education/diagrams-charts-and-graphs/content-section-0
11. Title

## Dimensional analysis: Mathematics support materials

Description
This resource on the use of dimensional analysis in solving scientific equations includes quizzes, exercises and worked examples. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/dimensions.pdf
12. Title

## Electrical unit: Mathematics support materials

Description
This resource on units used in electricity includes quizzes, exercises and worked examples covering electric fields, electric potential, capacitance, current and resistance. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/elec_units.pdf
13. Title

## Enumeration: A-Level course material

Description
This resource introduces the concept of enumeration or counting, and discusses different terminologies, and how to apply notation to mathematical problems. Topics also include the multiplicative principle, arrangements, the pigeonhole principle, and probability. Numerous worked examples are presented, with illustrations where applicable. The resource is chapter 3 of 15 dealing with discrete mathematics, as part of a wider collection of A-Level course material provided by the Centre for Innovation in Mathematics Teaching, University of Plymouth. Answers to the exercises are also catalogued in the e-library.
Publisher
Centre for Innovation in Mathematics Teaching (CIMT), University of Plymouth
http://www.cimt.plymouth.ac.uk/projects/mepres/alevel/discrete_ch3.pdf
14. Title

## Exploring data: graphs and numerical summaries: LearningSpace: Open University

Description
An introduction to various ways of representing data, such as bar and pie charts, histograms and scatter diagrams. The course also teaches how to work out mean, median, standard deviation, variance and other mathematical numbers. This introductory module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016). It is expected to take 20 hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/exploring-data-graphs-and-numerical-summaries/content-section-0
15. Title

## Fractions: Mathematics support materials

Description
This resource on the addition, multiplication and division of fractions includes quizzes, exercises and worked examples. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/fractions.pdf
16. Title

## Interpreting data: boxplots and tables: LearningSpace: Open University

Description
Divided into two distinct parts, this module introduces the use of boxplots to summarise statistical data, and also teaches how to deal with data in tabular form. A range of terminology is defined, and the use of both boxplots and tables is explored with basic examples. This intermediate module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016). It is expected to take 16 hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/statistics/interpreting-data-boxplots-and-tables/content-section-0
17. Title

## Introduction to complex numbers: Mathematics support materials

Description
This resource on complex numbers includes quizzes, exercises and worked examples. Topics include real and imaginary numbers, complex numbers, addition and subtraction, multiplication, complex conjugation and division. It is one of a collection of mathematics support materials provided for schools and colleges by the University of Plymouth School of Mathematics and Statistics.
Publisher
School of Mathematics and Statistics, University of Plymouth
http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/complex.pdf
18. Title

## Introduction to pure mathematics

Description
Introductory notes on pure mathematics are provided covering numbers and induction, sets, relations and functions, writing mathematical statements, proofs and refutations, and problem-solving in mathematics. The notes were prepared to accompany a course given by Peter M. Neumann at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2012/2629/4/PrelimIntro2012-Ver3.pdf
19. Title

## Lecture notes on introduction to numerical methods

Description
This document contains lecture notes on an introduction to numerical methods including IEEE arithmetic, root finding, systems of equations, least-squares approximation, interpolation, integration and ordinary differential equations.
http://www.math.ust.hk/~machas/
20. Title

## Modelling displacements and velocities: LearningSpace: Open University

Description
An introduction to the use of vectors and vector conversion, covering topics such as coverting vectors from geometric to component form (and vice versa), using bearings to describe direction, the difference between speed and velocity, and expressing displacements and velocities in geometric form. This introductory module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016). It is expected to take three hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/education/mathematics-education/modelling-displacements-and-velocities/content-section-0
21. Title

## Number systems: LearningSpace: Open University

Description
An introduction to a range of number systems, including rational and real numbers, complex numbers and integers. The resource describes modular arithmetic and the relationships between elements of a set. This intermediate module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016). It is expected to take 20 hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/number-systems/content-section-0
22. Title

## Numbers, units and arithmetic: LearningSpace: Open University

Description
This is a short introduction to the basics of arithmetic, using positive and negative numbers, fractions and decimals in simple problem solving. The aim is to be able to solve a range of basic problems without using a calculator. This introductory module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016). It is expected to take five hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/education/mathematics-education/numbers-units-and-arithmetic/content-section-0
23. Title

## Numbers: an introduction to subtraction: LearningSpace: Open University

Description
A very short introduction to techniques used in subtraction, including whole numbers and decimals. The module should take around one hour to complete. The module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016).
Publisher
Open University
http://www.open.edu/openlearn/education/mathematics-education/numbers-introduction-subtraction/content-section-0
24. Title

## Numbers: getting to grips with division: LearningSpace: Open University

Description
A very short (one hour) introduction to simple division, using both whole numbers and decimals. The module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016).
Publisher
Open University
http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/numbers-getting-grips-division/content-section-0
25. Title

## Numbers: LearningSpace: Open University

Description
This resource describes real numbers and their properties. Topics include the relationship between real numbers and recurring decimals, irrational numbers and numeric inequalities. The use of the Triangle Inequality, the Binomial Theorem and the Least Upper Bound Property are all described .This intermediate module is provided by the UK Open University as part of its LearningSpace, a collection of over 800 free online courses (as at July 2016). It is expected to take 20 hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/science-maths-technology/mathematics-and-statistics/mathematics/numbers/content-section-0

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