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

Catastrophes of human origin can be just as traumatic as those of natural origin, and are studied with even greater intensity for their causes. There are several ways disasters of human origin can be classified, depending on cause or size or origin. Another way of looking at them is by the kind of human activity â€“ perhaps mining, fishing or transportation. Equally, disasters could be classified according to the kind of event that occurred during the accident â€“ perhaps collision, sinking,
Author(s): No creator set

Of quite different origin are those disasters associated with the weather:

• hurricanes

• storms

• floods

They too are interrelated, a hurricane being a vast area of low atmospheric pressure, which effectively grows into a giant vortex sometimes hundreds of miles wide (Figure 1). A storm is a smaller version of the same
Author(s): No creator set

The disasters that first come to mind are those where the earth itself changes in an unpredictable and sudden way:

• earthquakes

• volcanic eruptions

• tidal waves

These natural phenomena are now known to be interconnected: earthquakes result from vast plates of the earth's crust meeting and moving against one another. Volcanic explosions, such as Krakatoa (1883) and Mount St Helens (1980) are also manifestations
Author(s): No creator set

Why are disasters important? They attract public attention because there is great loss of life, or because the event happened suddenly and quite unexpectedly, or because the accident occurred to a new project that had been regarded as completely safe. Certainly, the aspect of suddenness is one that features in many catastrophes, and indeed, it is this feature by which a catastrophe is defined.

Great disasters are always traumatic, especially for those who endure them and come through al
Author(s): No creator set

Next steps
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

22 Part 3: 6 Key points of Part 3
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

Part 3: 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

20 Part 3: 4 Phases and waves 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

19 Part 3: 3 Sustaining and disruptive 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

18.5 Government regulations and legislation
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

18.4 MP3's diffusion depended on innovations in related areas
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