In Section 4 we introduce the hyperbolic functions sinh, cosh and tanh, which are constructed from exponential functions. These hyperbolic functions share some of the properties of the trigonometric functions but, as you will see, their graphs are very different.

Click the link below to open Section 4 (5 pages, 104KB).

Section 4

Author(s): The Open University

Have you ever wondered what causes cyclones, and why it's always calm in the centre of the storm? Well, vector calculus holds the key. The tracks on this album introduce you to the scalar and vector fields of gradient, divergence and curl. This material makes up part of the course MST209, Mathematical methods and models. The iTunes U team.
First published on Tue, 13

Author(s): The iTunes U team

Susan Collins Policy Points
Description not set
Author(s): No creator set

On any ordinary day without even noticing, you read shop signs, newspaper headlines, TV listings, a magazine, or a chapter of a paperback. So why would a message like this one appear in an online student chat room in the early weeks of a course?

Author(s): The Open University

The Sunflower and the rose
Beloved by artists as well as gardeners, flowers are everywhere in art. But are they just flowers or do they carry hidden meanings? Is there a deeper significance - spiritual, cultural or aesthetic - than we realise? Put on your deerstalker and prepare to exercise your little grey cells as we tour a virtual art gallery looking for the clues that artists have left for us between the petals of the rose and the sunflower, two of summer's most beautiful flowers.Author(s): No creator set

It is also possible to relate magnitude to the seismic energy released by an earthquake. An increase of one unit on the Richter scale represents an increase of about 40 times in the amount of seismic energy released.

Question 2

Author(s): The Open University

In this course we have focused on effective management of the routine activities of a project. I began by considering what a manager can do to ensure that tasks and activities start on time. You should now be able to take the steps that are required to implement a project. Appropriate people need to be appointed to teams and to be clear about individual and group responsibilities. The accommodation and equipment must be secured, together with ensuring that the necessary resources are in place
Author(s): The Open University

1. Figure 12 summarises the ways in which the Earth's surface and atmosphere gain and lose energy. The main points are as follows:

• A proportion (the planetary albedo) of the incoming shortwave radiation from the Sun is reflected (or scattered) directly back to space, mainly by clouds and the Earth's surface (especially snow and ice cover), but also by aerosols (e.g. dust, salt particles, etc.). Most of the rest is abs
Author(s): The Open University

2 sets of arms. 2 bodies. Of course, they don't match up.

Author(s): No creator set

Richard Doll: his revolutionary life
Conrad Keating, biographer of Richard Doll, lectures on the life of the cancer epidemiologist and lifelong socialist who contributed much to our understanding of the effects of smoking and changed the way we regard smoking and public health.
Author(s): No creator set

6.263J Data Communication Networks (MIT)
6.263J / 16.37J focuses on the fundamentals of data communication networks. One goal is to give some insight into the rationale of why networks are structured the way they are today and to understand the issues facing the designers of next-generation data networks. Much of the course focuses on network algorithms and their performance. Students are expected to have a strong mathematical background and an understanding of probability theory. Topics discussed include: layered network architecture,
Author(s): Bertsekas, Dimitri,Modiano, Eytan

Jacques Rancière and Peter Sloterdijk debate Aesthetics and Modernity
In a genial confrontation between German and French traditions and modes of thought Jacques Rancière and Peter Sloterdijk debate the aesthetic both as a way of understanding the digitalised and globalised modern world.
Author(s): No creator set

Help yet to reach Vanuatu islands
International aid is arriving in the Vanuatu capital after Cyclone Pam but could still take days to reach the nation's remoter regions. Paul Chapman reports. Subscribe: http://smarturl.it/reuterssubscribe More updates and breaking news: http://smarturl.it/BreakingNews Reuters tells the world's stories like no one else. As the largest international multimedia news provider, Reuters provides coverage around the globe and across topics including business, financial, national, and international ne
Author(s): No creator set

'Tomorrow' at SUNY Oswego: Our Communities and Partnerships
From SUNY Oswego's 'Tomorrow' strategic plan: SUNY Oswego faculty and staff engage and partner with local, national and international communities and make an impact through research, community service and economic development for collective prosperity, equity, resilience and success. These efforts are in addition to the mutually beneficial partnerships between our students and external partners in service-learning, internships, cooperative education and community service initiatives. For more in
Author(s): No creator set

22.103 Microscopic Theory of Transport (MIT)
Transport is among the most fundamental and widely studied phenomena in science and engineering. This subject will lay out the essential concepts and current understanding, with emphasis on the molecular view, that cut across all disciplinary boundaries. (Suitable for all students in research.) Broad perspectives of transport phenomena From theory and models to computations and simulations Micro/macro coupling Current research insights
Author(s): Yip, Sidney

14.01 Principles of Microeconomics (MIT)
This introductory course teaches the fundamentals of microeconomics. Topics include consumer theory, producer theory, the behavior of firms, market equilibrium, monopoly, and the role of the government in the economy. 14.01 is a Humanities, Arts, and Social Sciences (HASS) elective and is offered both terms. This course is a core subject in MIT's undergraduate Energy Studies Minor. This Institute-wide program complements the deep expertise obtained in any major with a broad understanding of the
Author(s): Chen, Chia-Hui,Zhang, Hongliang,Migueis, Marco,Mar

Infection and immunity
In this free course, Infection and immunity, you will be introduced to infectious diseases and to the biological agents that invade our bodies and cause them: pathogens. You will also learn about the immune system, the human body’s vital defence against pathogens. Along the way you will learn about the scientific method and how it has helped scientists understand pathogens and aid the prevention of infectious disease. But the challenge is ongoing. Pathogens are everywhere and come in all shape
Author(s): Creator not set

John Broome on Rationality
John Broome, White's Professor of Moral Philosophy at the University of Oxford, gives an explanation of reason and rationality, and then discusses his understanding of the 'the normative question'.
Author(s): No creator set

The activities in this section focus specifically on issues of wellbeing, such as self-esteem, resilience and sense of belonging. They consider how practitioners can support children as they understand and negotiate their identities, and those of other people, in the light of other people's perceptions and beliefs.

There are two activities to help you highlight some of these issues.

Author(s): The Open University

Physicist Prof Lloyd Hollenberg explains how quantum technologies are leading to the development of sensors of only a few atoms’ size -- small enough to be placed inside living cells to enable monitoring of biological processes. Presented by Dr Shane Huntington.

Author(s): up-close@unimelb.edu.au (University of Melbourne)