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2.5 Defining surfaces

In Section 2.1 we gave a provisional definition of a surface. The aim of this section is to formalise that definition. To do that, we need to specify three further requirements of a candidate topological space, beyond those given in the provisional definition.

The first requirement is that the surface should be in
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4 Open Mark quiz

Now try the quiz and see if there are any areas you need to work on.


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Physics in architecture
Developed in 1998 by Dr John Whittle (Department of the Built Environment) using Authorware, this package contains brief interactive notes on eight areas of physics in which architects need a working knowledge. However, it is also useful to others in science, engineering and social sciences looking for an introduction to the topics concerned. These topics are: Units of measurement; Scalar and vector quantities; Newton’s laws; Mass and weight; Action and reaction; Waves; Heat, work and energy;
Author(s): Whittle John Dr

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9.1.4 Take a trip to the payphone

Click on the 'View document' link below to read 'Take a trip to the payphone'.

Test your understa
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4.6.1 What if a learning objective CAN'T be achieved?

What can you do if you have considered all the adjustments appropriate for a particular student and you have determined that they can't achieve the learning objective?


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4.7 Informing students

Students need accurate information about accessibility before they enrol on a course. This may seem like common sense, but it is a significant contributor to students’ legal complaints. It is important that details of reasonable adjustments are carefully recorded, including the limitations of alternative formats and accessible design. The second accessibility activity, ‘Specifying, designing and evaluating accessibility’, will look more closely at specifying and evaluating web resources
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"My Life, the Theater..." by Allen Zadoff--The Pick of the Week from 60 second Recap®
In this video, teenage students will be introduced to "My Life, the Theater.." by Allen Zadoff. What do you do when you're afraid of the dark? Get a job as a lighting guy for your school's theater production, of course! If only all of Adam Ziegler's problems were so easily solved. But this is high school, and Adam's suffered more than his fair share of tragedies--starting with the accident that killed his father and made Adam's world go black. But all is not tragedy in this parts-funny
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Music Printing
From the middle of the 15th century onwards, the intellectual and cultural life of the West was revolutionised by the development of the printing press. This album explores the technological problems and solutions specific to the printing of music and shows how technology has transformed the way music scores are produced today. The five video tracks examine early music printing processes, 20th century photo lithography and the invention Sibelius, the music programme that changed everything. Thi
Author(s): The iTunes U team

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References

Baird, J.D. and Ryskamp, C. (eds) (1980–95) The Poems of William Cowper, 3 vols, Oxford, Clarendon Press.
Baxter, J. (1974) ‘The great Yorkshire revival 1792–6: a study of mass revival among the Methodists’, in M. Hill (ed.) A Sociological Yearbook of Religion in Britain, 4, pp.46–76.
Belsham, T. (1798) A Review of Mr Wilberforce's Treatise, Lond
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2.1 Conversing with environment

Consider a situation involving what might be regarded as eco-social collapse. For example, the trigger of global warming (caused primarily by use of fossil fuels in developed countries) has encouraged the rapid development of biofuel agriculture through grants from rich countries in the global North to Brazil and other tropical countries in the global South. This has generated both ecological problems (deforestation, pesticide pollution, etc.) and socio-economic problems – particularly with
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2.12 Fluid balance

Although a person can survive for several weeks without food, without fluids, someone can survive for only a few days. A loss of water equivalent to just 1% of body weight is enough to make someone feel thirsty and to have an effect on ability to concentrate. Such a loss has been shown in some studies in schools to result in a 10% decrease in the mental performance of children. A 4% loss results in dizziness and reduced muscle power. By the time there is a 6% loss, the heart is racing and swe
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Learn Japanese Culture with Risa #3 - How to Wear a Yukata in Japan
Learn about Japanese culture with Risa and JapanesePod101.com! Join Risa on her cultural adventures around Japan—from visiting cat cafés, to trying unique Japanese foods and special restaurants. You’ll learn more about Japan and its people and culture with this fun, vibrant video series! In this lesson, Risa wears a Yukata in [...]
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Rights not set

5.1 Leading the fight against slavery

Wilberforce’s name has been most famously associated with the issue of slavery. His success as a leader of the cause against slavery stemmed from his capacity to marshal a formidable range of argumentation, including secular as well as spiritual factors, and practical considerations as well as statements of principle. This section will examine extracts from two of Wilberforce’s writings on slavery, A Letter on the Abolition of the Slave Trade (1807) and An Appeal to the Religion
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2.2 Use of language

Use of language is extremely important in law. As a law student it is important that you use language in an accurate way. The rest of Part A of this unit will therefore consider the importance of language in law.

Box 1 Use of language

By now you will have had a few opportunities to look up the
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Empires: The Return of the Barbarians - Episode 3 of 3
In this last episode iIsolated from the West, 18th century Edo flourishes culturally and economically, becoming one of the liveliest cities in the world. But foreign forces are coming.
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5.10 Contextualising any particular systems approach

The capacity to put any systems approach into context is based on the ability of a practitioner to appreciate their own traditions of understanding and to make connections with the history of particular systems methods or methodologies, or to formulate their own. Above all, there is a need to learn from using them and to achieve outcomes that are agreed by those involved as worthwhile. This is a level of systems practice to which you can aspire.

At the beginning of Part 3, Section 5 I p
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Optical Communication Systems
This course is a brief introduction to optical communication systems. These systems are described, focusing on lasers, photodetectors, fibers, and design budgets. The aim is qualifying students to design simple optical systems.
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Copyright 2009, by the Contributing Authors

Danny Miller - Why We Post - The use and consequences of social media
Funded by the European Research Council, Why We Post examined uses of social media across eight countries. Part of the intention of the project was to make research findings easily accessible to a worldwide audience over digital platforms which resulted in developing an e-learning course for FutureLearn, making short films and publishing Open Access books. Moderated by John Postill, three members of the Why We Post team – Daniel Miller, Jolynna Sinanan and Sheba Mohammid – will discuss the
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Participatory development inaction
A brief introduction to this album.
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Learning outcomes

After studying this unit you will:

  • have developed a systematic understanding of knowledge and a critical awareness of issues in inclusive education;

  • be able to reflect critically upon and analyse your own perspective, and that of others, regarding inclusion;

  • be able to analyse and develop successful inclusive learning practices;

  • be able to identify conceptual frameworks appropriate for investigating inclusion issues, examining the inc
    Author(s): The Open University

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