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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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level 2: intermediate icon
Science, Maths & Technology
Egyptian mathematics
The Egyptians are known for being ahead of their time in comparison to some civilisations that came after them. This free course, Egyptian mathematics, looks at how the Egyptians solved mathematical problems in everyday life and the technology they used. An understanding of this area has only been possible following the translation of the ...
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level 1: introductory icon
Science, Maths & Technology
Starting with maths: Patterns and formulas
Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This free course, Starting with maths: Patterns and formulas, explores some of these patterns, from ancient number patterns ...
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level 2: intermediate icon
Science, Maths & Technology
John Napier
This free course looks at Scotsman John Napier (1550-1617) and his invention which radically altered the course of mathematics. Napier dabbled in mathematics for over 40 years and near the end of his life he introduced his tables of logarithms which drastically reduced the work needed to do complicated calculations, such as those required in ...
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level 1: introductory icon
Science, Maths & Technology
Working with charts, graphs and tables
When you come across information represented in charts, graphs and tables, you'll need to know how to interpret this information. This free course, Working with charts, graphs and tables, will help you to develop the skills you need to do this. For further study, there's another course titled 'More working with charts, graphs and tables' which ...