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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.
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Science, Maths & Technology
Electroplating
A process used to apply a coating, via electrolysis, from an electrically conductive base material to the object to be coated. Often used to silver plate cutlery and other decorative objects.
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Science, Maths & Technology
Shot blasting
Shot blasting entails the forceful direction of abrasive particles against the surfaces of metal parts to remove contaminants or condition the surface for subsequent finishing.