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level 2: intermediate icon
Science, Maths & Technology
Modelling and estimation
This free course is concerned with modelling and estimation and looks in particular at the binomial distribution. Section 1 starts by defining probability, introduces relevant notation and briefly discusses basic properties of probabilities. The section concludes by considering some of the general features of and ideas about modelling discrete ...
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level 1: introductory icon
Science, Maths & Technology
Introduction to algebra
This free course is an introduction to algebra which builds on the idea of using letters to represent numbers. Section 1 looks at finding, simplifying and using formulas and includes useful tips on learning algebra. Section 2 introduces some of the terminology used in algebra and techniques such as evaluating and checking equivalence of ...
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level 2: intermediate icon
Science, Maths & Technology
Introduction to linear equations and matrices
In this free course, matrices are used as a concise way of representing systems of linear equations which occur frequently in mathematics. Section 1 looks at simultaneous linear equations in two and three unknowns and then generalises the ideas to systems of linear equations. Section 2 develops a strategy for solving systems of linear equations....
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level 2: intermediate icon
Science, Maths & Technology
Introduction to group theory
This free course is an introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed as functions. Section 2 introduces an algebraic notation for recording symmetries and calculating composites and inverses of symmetries. Section 3 ...
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level 2: intermediate icon
Science, Maths & Technology
Introduction to analysis
This free course is an introduction to analysis which looks at real numbers and their properties, with a particular emphasis on inequalities. Section 1 starts by revising rational numbers and their decimal representations. Then, real numbers are introduced as infinite decimals. Section 2 looks at rules for manipulating inequalities and finding ...
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level 1: introductory icon
Science, Maths & Technology
Introduction to differential equations
Differential equations are any equations that include derivatives and arise in many situations. This free course, Introduction to differential equations, considers three types of first-order differential equations. Section 1 introduces equations that can be solved by direct integration and section 2 the method of separation of variables. Section...
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History & The Arts
Inventing the record business
As Spotify prepares to float itself, Eva Moreda Rodríguez hails their distant ancestors. Uncover the early years of the recording industry
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Health, Sports & Psychology
Science doesn't know how free divers do it
It's not a total mystery - but, explains Kevin Wong, there's still a lot about free diving that science can't quite explain.
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Science, Maths & Technology
Stephen Hawking in his own words
In this tribute created by the University of Cambridge, Stephen Hawking reflects on "a glorious time to be alive doing research"
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Science, Maths & Technology
Stephen Hawking: A brief history of his timeline
Time travel might not be possible, but you can join us for a trip through Stephen Hawking's remarkable life.
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Science, Maths & Technology
Stephen Hawking: The tributes
Famous theoretical physicist, Professor Stephen Hawking had died aged 76. Here, academics from around the world pay tribute to the scientist...
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Science, Maths & Technology
What are nerve agents - and what do they do?
It's a question the people of Salisbury weren't expecting to have to ask themselves following a quick trip to a Zizzi on a quiet Sunday. Sergei Skripal's apparent revenge poisoning, though, has brought chemical killers from the battlefield closer to home. Simon Cotton explains how they work.