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level 2: intermediate icon
Science, Maths & Technology
Introduction to the calculus of variations
This free course concerns the calculus of variations. Section 1 introduces some key ingredients by solving a seemingly simple problem – finding the shortest distance between two points in a plane. The section also introduces the notions of a functional and of a stationary path. Section 2 describes basic problems that can be formulated in terms ...
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level 2: intermediate icon
Science, Maths & Technology
An introduction to web applications architecture
This free course, An introduction to web applications architecture, provides an overview of the design and implementation of computer software that runs on web servers, instead of those running solely on desktop computers, laptops or mobile devices.
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level 3: advanced icon
Science, Maths & Technology
Surfaces
Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this free course, you will learn to classify surfaces and will be introduced to such concepts as homeomorphism, orientability, the Euler characteristic and the classification theorem of compact surfaces.
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level 1: introductory icon
Science, Maths & Technology
IT: Information
In a world of 24-hour news and instant updates, this free course explores how information is gathered, stored and shared through technology. Learn about the evolution of IT in news reporting, compare different media sources, and develop a critical eye for trust and authenticity in the information you consume.
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level 1: introductory icon
Science, Maths & Technology
IT in everyday life
We now live in a global village where distance is no longer a barrier to commercial or social contact. This free course, IT in everyday life, will enable you to gain an understanding of the information and communication technologies that drive our networked world and how they now permeate our everyday lives.
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level 1: introductory icon
Science, Maths & Technology
IT: device to device communication
Are you a technophobe? Bluetooth, Ethernet, WiFi; are they terms that mean nothing to you? IT: device to device communication, is a free course that will gently guide you to an understanding of how devices 'talk' to each other and what technologies and processes are involved. You will also look at wired and wireless communication technologies, ...
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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...