# eTekkatho

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1. Title

## AC systems and phasors: Mathematics support materials

Description
This resource on alternating current (AC) systems and phasors 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/Phasors.pdf
2. Title

## Amount of substance: Mathematics for chemistry facts and formulae

Description
An introduction to various terms used when describing the amount of a substance; terms include the mole, molar mass, concentration, molality, mole fraction, density, and mass percentages. The sheet also includes definitions of Boyle's Law and Charles's Law for gases. 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
3. 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
4. Title

## Answers: Mechanics: A-level course material

Description
This resource provides the answers to the exercises included in the nine chapters dealing with mechanics 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/mechanics_solutions.pdf
5. Title

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

Description
This resource provides the answers to the exercises included in the 21 chapters dealing with pure 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/pure_solutions.pdf
6. Title

## Antiplane strain and torsion: Lecture 3: Elasticity and plasticity

Description
Lecture notes are provided, covering antiplane strain, torsion and multiply-connected domains. This is lecture 3 of 8 prepared for a course on elasticity and plasticity at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2049/52/elasticity3.pdf
7. Title

## Appendix (discrete mathematics): A-Level course material

Description
This resource contains a list of codes such as Braille patterns, left hand codes, number sets and related systems. It should be used in conjunction with resources about coding or for general reference. The resource is an appendix to 15 chapters 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.
Publisher
Centre for Innovation in Mathematics Teaching (CIMT), University of Plymouth
http://www.cimt.plymouth.ac.uk/projects/mepres/alevel/discrete_appendix.pdf
8. Title

## Applied probability

Description
Lecture notes on applied probability and probabilistic modelling are provided, covering Poisson processes; Markov properties; conditional and stochastic modelling; birth processes and explosions; continuous-time Markov chains; transitions semigroups; the class structure of continuous-time Markov chains; convergence to equilibrium; the Strong Law of Large Numbers; renewal processes and equations; excess life and stationarity; renewal theorems; M/M/1 queues and queueing networks; M/G/1 and G/M/1 queues; and, Markov models for insurance. The notes were prepared to accompany a course given by Matthias Winkel at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2401/5/bs3a07.pdf
9. Title

## Boolean algebra: A-Level course material

Description
This resource describe the use of Boolean algebra and logic in mathematical and circuit problems. Topics include applying Boolean logic, combinatorial and switching circuits, simplifying Boolean expressions, minimising circuits, and understanding half and full adder circuits. Numerous worked examples are presented, with illustrations where applicable. The resource is chapter 11 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_ch11.pdf
10. Title

## Brief excursion into the mathematical theory of mixed finite element methods

Description
Lecture notes on the mathematical theory of mixed finite element methods are provided. The notes were prepared to accompany a course given by Endre Suli at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2799/1/Mixed_FEM_Lecture_Notes_Endre_Suli.pdf
11. 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
12. Title

## Chemistry: Mathematics support materials

Description
This resource on the application of some mathematical techniques to chemistry includes quizzes, exercises and worked examples. Topics include moles and masses, density, the concentration of chemicals in solutions, thermodynamics and kinetics. 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/chemistry.pdf
13. Title

## Circular motion: A-Level course material

Description
This resource provides a description of circular motion, how force and motion are related, and modelling applications. Topics also include angular velocity, using vectors to describe motion, and modelling motion on a range of different shapes and systems. Numerous worked examples are presented, with illustrations where applicable. The resource is chapter 7 of 9 dealing with mechanics, 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/mechanics_ch7.pdf
14. Title

## Codes in everyday use: A-Level course material

Description
This resource introduces the use of codes in everyday life, with topics including the use of check digits, understanding different code designs, and examples such as bar codes, postcodes, Braille, and telephone numbers. Worked examples are presented, with illustrations where applicable. The resource is chapter 8 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_ch8.pdf
15. Title

## Contact: Lecture 8: Elasticity and plasticity

Description
Lecture notes on contact between two elastic solid bodies are provided, covering elastic strings, other thin solids, and smooth contact in plane strain. This is lecture 8 of 8 prepared for a course in elasticity and plasticity at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2049/45/elasticity8.pdf
16. Title

## Dalton's Law: Mathematics for chemistry facts and formulae

Description
A guide to various gas laws, including Dalton's Law of partial pressures, the perfect gas law, combined gas laws, Van der Waals' equation, and the Clausius-Clapeyron equation. 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
17. Title

## DC circuits and electrical power: Mathematics support materials

Description
This resource on electrical power in direct current (DC) circuits 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/DC_power.pdf
18. Title

## Developing modelling skills: LearningSpace: Open University

Description
This introductory module on the processes involved in developing mathematical models is the third in a series of five modules on mathematical modelling. It is provided as a workbook with a separate document providing answers to the exercises. The module is expected to take four 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/developing-modelling-skills/content-section-0
19. 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
20. Title

## Discrete Fourier transform: More facts & formulas

Description
This sheet provides equations for the discrete Fourier transform. The resource forms 1 of 13 advanced maths for engineers fact sheets produced by mathcentre.
Publisher
mathcentre
http://www.mathcentre.ac.uk/search/?q=%22large+print%22&saudience=all&cat%5B%5D=512
21. Title

## Elastic waves: Lecture 5: Elasticity and plasticity

Description
Lecture notes on elastic waves are provided, covering P-waves and S-waves, mode conversion and Love waves. This is lecture 5 of 8 prepared for a course on elasticity and plasticity at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2049/32/elasticity5.pdf
22. 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
23. Title

## Elementary steady solutions: Lecture 2: Elasticity and plasticity

Description
Lecture notes on elementary steady solutions are provided, covering isotropic expansion, simple shear, uniaxial stretching, biaxial strain, and one-dimensional bending of a beam. This is lecture 2 of 8 prepared for a course on elasticity and plasticity at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2049/51/elasticity2.pdf
24. Title

## Equations of linear elasticity: Lecture 1: Elasticity and plasticity

Description
Lecture notes on equations of linear elasticity are provided, covering Hooke's Law, Lagrangian and Eulerian coordinates, strain, stress, conservation of momentum, the constitutive relation, boundary conditions, energy and coordinate systems. This is lecture 1 of 8 prepared for a course in elasticity and plasticity at the Mathematical Institute, University of Oxford, England.
Publisher
Mathematical Institute, University of Oxford
http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2049/50/elasticity1.pdf
25. Title

## Exploring distance time graphs: LearningSpace: Open University

Description
This resource describes common concepts in drawing and interpreting graphs. Topics include drawing and labelling graphs, definitions of common terms used in graphs, calculating the relationship between numbers, and interpreting distance-time graphs. 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 twelve hours to complete.
Publisher
Open University
http://www.open.edu/openlearn/education/mathematics-education/exploring-distance-time-graphs/content-section-0

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