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...Introduction - This course 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...

...Introduction - This free course, Numbers, units and arithmetic, will help you to revise whole numbers, decimals and fractions, both positive and negative. You should know when and how to add, subtract, multiply and divide. Although you may have a calculator, you still need to do simple calculations in your head or on paper. Such calculations could be to estimate the size...

...Introduction - Did you know that there are an estimated 37 trillion human cells in the adult body? In fact, there are only an estimated 100-400 billion stars in the Milky Way, so there are more cells in the human body than there are stars in the Galaxy! In addition to human cells, there are also another 30-100 trillion non-human cells, such as bacteria, archaea and fungi,...

...Introduction - In 1972, the crew of the Apollo 17 spacecraft took an iconic photograph of the Earth as they travelled towards the Moon. The photograph (Figure 1a), known as ‘The Blue Marble’, shows the extent of the Earth’s water held within oceans, polar ice and clouds. You may be familiar with Earth being known as the ‘blue planet’. Indeed, the Earth’s...

...Introduction - This free course, Metals in medicine, is comprised of two parts, which illustrate the key role metals play in medicine. The main focus of sections 1 – 3 is the role metals play in medical imaging, whereas sections 4 and 5 show how metal containing compounds play a crucial role in the treatment of many diseases including cancer. After studying this course...