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Introduction

This unit is concerned with a special class of topological spaces called surfaces. Common examples of surfaces are the sphere and the cylinder; less common, though probably still familiar, are the torus and the Möbius band. Other surfaces, such as the projective plane and the Klein bottle, may be unfamiliar, but they crop up in many places in mathematics. Our aim is to classify surfaces – that is, to produce criteria that allow us to determine whether two given surfaces are h
Author(s): The Open University

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Acknowledgements

The content acknowledged below is Proprietary (see terms and conditions) and is used under licence.

All materials included in this unit are derived from content originated at the Open University.


Author(s): The Open University

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Modelling pollution in the Great Lakes: a review

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. When prompted to watch the video for this unit, return to this page and watch the clips below. After you've watched the clips, return to the workbook.

Click 'View document' to open the workbook (PDF, 0.3 MB).

Introduction

This is the fifth and final unit in the MSXR209 series on mathematical modelling. In this unit we revisit the model developed in the first unit of this series on pollution in the Great Lakes of North America. Here we evaluate and revise the original model by comparing its predictions against data from the lakes before finally reflecting on the techniques used.

This unit, the fifth in a series of five, builds on ideas developed and introduced in Modelling pollution in the Great Lakes
Author(s): The Open University

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Studying mammals: The opportunists
Many mammals are food specialists, with complex adaptations that gear them toward a particular food source. So how do the omnivores survive and prosper without these fancy evolutionary features? This free course, Studying mammals: The opportunists, examines the physiology, diet and strategies of some of these opportunistic feeders. It is the sixth course in the Studying mammals series.Author(s): Creator not set

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Some of the most unusual and versatile of all the mammals are the groups that live, feed and reproduce underwater. In this free course, Studying mammals: Return to the water, we will see how these formerly land-based mammals adapted to a return to the water, discussing such challenges as breathing, movement and communication. This is the seventh course in the Studying mammals series.Author(s): Creator not set

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There is a fascinating world of nature all around us which we can see if we know how to look for it. Wherever you live, be it in a city or the countryside, you will find areas that support a range of wildlife. This free course, Neighbourhood nature, will provide you with basic scientific and observational skills so that you can go into your local neighbourhood to discover the animals and plants in open spaces. You will learn how to observe, identify and record the wildlife around you, building u
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Introducing the environment: Ecology and ecosystems
What is ecology and why is it important to our understanding of the world around us? This free course, Introducing the environment: Ecology and ecosystems, looks at how we can study ecosystems to explore the effect that humans are having on the environment. First published on Fri, 18 Mar 2016 as Author(s): Creator not set

School activities: Evolutionary tree of mammals
This introduction to the evolution of mammals considers Darwin's observations on mammals and how he noticed that species fell into natural groups. This free course, School activities: Evolutionary tree of mammals, looks at evidence from fossils and DNA to examine which mammals are most closely related to whales. First published on Thu, 03 M
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Revolutions in sound recording
Since the invention of the phonograph in 1877, the recording and playback of sound has been a key element of life in the western world. This free course, Revolutions in sound recording, traces the technology and characters of the sound recording industry as it advances from Edison's original phonograph to the formats we know today. Author(s): Creator not set

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Identity and Access Control

Today I woke up thinking that talking about Identity and Access Control and how your strategy around that affects you (web-) app's architecture without going too deeply into the security lingo that usually comes with it. Here's the 40 minute result.

I start with HTTP's "native" authentication model RFC 2617 and how that's universally bad, with both Basic and Digest authentication having issues Digest being, ironically worse for the overall security strategy. Then I d
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