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Biofuels
This free course, Biofuels, investigates what is meant by a biofuel and covers the advantages of using biofuels compared with fossil fuels. The different types of biofuel are explored, with particular emphasis on transport biofuels. Finally, the issue of whether biofuels are the complete answer to our future energy needs is considered. First published on Mon, 21 Mar 2016 as
Author(s): Creator not set

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Galaxies, stars and planets
This free course is a general introduction to galaxies, stars and planets, including scale of the universe from the very large to the very small; orbits and gravity; the Solar System; the Sun and other stars; galaxies and the composition of astronomical objects. First published on Tue, 22 Mar 2016 as Author(s): Creator not set

Introduction to histopathology
This free course provides an introduction to histopathology and outlines how the appearance of different tissues changes due to damage, inflammation, infection or degeneration and how microscopy can aid in the diagnosis of disease. First published on Tue, 14 Jun 2016 as Author(s): Creator not set

2.1 Land versus water

Mammals share a number of biological characteristics that mark them out as members of the class Mammalia. Many of these are adaptations to a life on land. For example:

  • Mammals give birth to young at a relatively advanced stage of development and feed their young on milk.

  • Most mammals have hair, or fur, covering part or all of the body.

  • Mammals have a high metabolic rate and maintain a relatively high and constant body temp
    Author(s): The Open University

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2.1 Chemical periodicity

The chemistry of the elements is immensely varied. But amidst that variety there are patterns, and the best known and most useful is chemical periodicity: if the elements are laid out in order of atomic number, similar elements occur at regular intervals.

The discovery of chemical periodicity is particularly associated with the nineteenth-century Russian chemist Dmitri Ivanovich Mendeléev (Figure 16). The periodicity is represented graphically by Periodic Tables. Author(s): The Open University

2.882 System Design and Analysis based on AD and Complexity Theories (MIT)
This course studies what makes a good design and how one develops a good design. Students consider how the design of engineered systems (such as hardware, software, materials, and manufacturing systems) differ from the "design" of natural systems such as biological systems; discuss complexity and how one makes use of complexity theory to improve design; and discover how one uses axiomatic design theory (AD theory) in design of many different kinds of engineered systems. Questions are analyzed us
Author(s): Suh, Nam,Lee, Taesik

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C

8.2 Secondary prevention using drugs

Extensive research has been carried out into the use of drugs to help limit damage and minimise deterioration of an established heart or circulatory condition. The use of four main drug categories together reduces the risk of an MI, a stroke or cardiovascular disease death over the next two years by 75 per cent in patients with previous coronary heart disease or stroke (2002 figures from Mackay and Mensah, 2004). Such secondary prevention of cardiovascular diseases has been formalised into a
Author(s): The Open University

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Acknowledgements

Except for third party materials and otherwise stated (see terms and conditions), this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 2.0 Licence

Grateful acknowledgement is made to the following sources for permission to reproduce material in this unit:

Author(s): The Open University

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1.2 Units of measurement

In the UK, two systems of units are in common use. We still use old imperial measures for some things: milk is sold in pints and signposts indicate distances in miles. But for many other everyday measurements metric units have been adopted: we buy petrol in litres and sugar in kilogram bags. A great advantage of metric units is that we no longer have to convert laboriously from imperial units, such as gallons, feet and inches, in order to trade with continental Europe. Also, calculations are
Author(s): The Open University

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Introduction

This course is devoted solely to complex numbers.

In Section 1, we define complex numbers and show you how to manipulate them, stressing the similarities with the manipulation of real numbers.

Section 2 is devoted to the geometric representation of complex numbers. You will find that this is very useful in understanding the arithmetic properties introduced in Section 1.

In Section 3 we discuss methods of finding nth roots of complex numbers and the solutions of simple
Author(s): The Open University

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Copyright © 2016 The Open University

2.3 Inequalities involving modulus signs

Now we consider inequalities involving the modulus of a real number. Recall that if a , then its modulus, or abso
Author(s): The Open University

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1.1 Mathematics and you

Many people's ideas about what mathematics actually is are based upon their early experiences at school. The first two activities aim to help you recall formative experiences from childhood.

Activity 1 Carl Jung's school days

Read
Author(s): The Open University

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6 Curves from parameters

In Section 5 we show how functions may be used to sketch curves in the plane, even when these curves are not necessarily the graphs of functions.

Click 'View document' below to open Section 5 (8 pages, 151KB).

3.1 Expressing numbers in scientific notation

Earlier you looked at place values for numbers, and why they were called powers of ten.

Place value10 0001000100101Author(s): The Open University

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Introduction

This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations.

This unit is an adapted extract from the course Mathematical methods and models (MST209
Author(s): The Open University

1 First-order differential equations

The main teaching text of this unit is provided in the workbook below. The answers to the exercises that you'll find throughout the workbook are given in the answer book. You can access it by clicking on the link under the workbook.

Click 'View document' to open the workbook (PDF, 1.6 MB).

1.2.2 Content

School mathematics curricula often focus on lists of content objectives in areas like number, arithmetic, statistics, measurement, geometry, trigonometry, and algebra. A typical list of content objectives might contain over one hundred objectives to be introduced or revisited and learned each year. These can be seen as hierarchical in nature but many textbooks do not attempt to organise the objectives in ways that enable the bigger underpinning ideas to become apparent to the pupils. In addit
Author(s): The Open University

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4.2.3 Business needs sustainability

The second argument is more profound: long-term profitability, and the existence of business itself, is threatened if companies can't transform themselves. This assumes that although the costs of environmental and social impacts can be ignored for a period, in the context of globalisation of environmental, social and political processes, they will come back to haunt businesses, and ultimately threaten their survival. There are several communications and management tools that have been develop
Author(s): The Open University

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3.1 Who will make the decisions?

Where will the decisions be made that will result in meaningful action on climate change, and who will make them stick? Following climate change politics in the media can give the impression that most of the action on climate change is going on between national decision makers in international forums. It is important to keep in mind that these forums have resulted from persistent pressure from a combination of grassroots environmental activists and a global network of science and policy exper
Author(s): The Open University

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