Next steps
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 assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2), Developing model
Author(s): The Open University

Modelling pollution in the Great Lakes: a review
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 assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2), Developing model
Author(s): The Open University

Next steps
This unit is the first in the MSXR209 series of five units that introduce the idea of modelling with mathematics. This unit centres on a mathematical model of how pollution levels in the Great Lakes of North America vary over a period of time. It demonstrates that, by keeping the model as simple as possible extremely complex systems can be understood and predicted.
Author(s): The Open University

1 Modelling pollution in the Great Lakes
This unit is the first in the MSXR209 series of five units that introduce the idea of modelling with mathematics. This unit centres on a mathematical model of how pollution levels in the Great Lakes of North America vary over a period of time. It demonstrates that, by keeping the model as simple as possible extremely complex systems can be understood and predicted.
Author(s): The Open University

Next steps
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

6 Solutions to the exercises
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

5 Symmetry in three dimensions
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

4 Proofs in group theory
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

3 Group axioms
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

2 Representing symmetries
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

1 Symmetry in two dimensions
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

14 Part 2: 5 Self-assessment questions
This unit is for designers, engineers, technologists and anyone interested in designing and inventing. It is also for managers and consumers interested in innovation and technical change. The unit will show you how design and innovation can create a more sustainable future. It will also help you understand how innovation comes about and will encourage thinking about environmental and social challenges for the future.
Author(s): The Open University

4.9 A consumer's experience of innovation
This unit is for designers, engineers, technologists and anyone interested in designing and inventing. It is also for managers and consumers interested in innovation and technical change. The unit will show you how design and innovation can create a more sustainable future. It will also help you understand how innovation comes about and will encourage thinking about environmental and social challenges for the future.
Author(s): The Open University

Read the following prose extract taken from Walter Pater's discussion of the Mona Lisa, written in 1893, and then complete the activity:

She is older than the rocks among which she sits; like the vampire, she has been dead many times, and learned the secrets of the grave; and has been a diver in deep seas, and keeps their fallen day about her; and trafficked for strange webs with Eastern merchants: and, as L
Author(s): No creator set

If a poem rhymes, then considering how the rhyme works is always important.

Rhyme schemes can be simple or highly intricate and complex; it will always be worth considering why a particular rhyme pattern was chosen and trying to assess its effects.

Activity 4

Author(s): No creator set

In what follows, section headings like ‘Rhymeâ€™, ‘Rhythmâ€™, ‘Line lengths and line endingsâ€™, ‘Alliterationâ€™, and so on, are intended to act as signposts to help you use this unit (if terms are unfamiliar, look them up in the glossary at the end of this unit). But these headings indicate only the main technique being discussed. While it is something we need to attempt, it is very difficult to try to isolate devices in this way â€“ to separate out, for e
Author(s): No creator set

3.1 Introduction
This unit examines Hume's reasons for being complacent in the face of death, as these are laid out in his suppressed essay of 1755, â€˜Of the immortality of the soulâ€™. More generally, they examine some of the shifts in attitude concerning death and religious belief that were taking place in Europe at the end of the eighteenth century, through examination of this and other short essays.
Author(s): The Open University

1 Prelude: Hume's death
This unit examines Hume's reasons for being complacent in the face of death, as these are laid out in his suppressed essay of 1755, â€˜Of the immortality of the soulâ€™. More generally, they examine some of the shifts in attitude concerning death and religious belief that were taking place in Europe at the end of the eighteenth century, through examination of this and other short essays.
Author(s): The Open University

4.5 The cases in Latin
Latin is the basis for many languages in the world. This unit will provide you with a general introduction to learning Latin allowing you to assess whether you would like to learn more. You will look at the links that exist between Latin and English, examine the structure of sentences and gain an awareness of the fundamentals of pronunciation in Latin.
Author(s): The Open University

4.4 Unravelling sentences
Latin is the basis for many languages in the world. This unit will provide you with a general introduction to learning Latin allowing you to assess whether you would like to learn more. You will look at the links that exist between Latin and English, examine the structure of sentences and gain an awareness of the fundamentals of pronunciation in Latin.
Author(s): The Open University