All topics

Science, Maths & Technology

This free course, An introduction to design engineering, looks at the way in which engineers use ideas and approaches from the discipline of design thinking to inform their work. The complexity that people bring to design problems is introduced, along with some basic methods of dealing with such complexity.

Free course

10 hrs

Science, Maths & Technology

This free course develops ideas about probability and random processes. Sections 1 and 2 introduce the fundamental ideas of random processes through a series of examples. Section 3 describes a model that is appropriate for events occurring ‘at random’ in such a way that their rate of occurrence remains constant. Section 4 derives the main results from Section 3. Section 5 introduces the multivariate Poisson process in which each event may be just one of several different types of event. Section 6 introduces the non-homogeneous Poisson process in which events occur at a rate that varies with time.

Free course

16 hrs

Science, Maths & Technology

This free course contains an introduction to metric spaces and continuity. The key idea is to use three particular properties of the Euclidean distance as the basis for defining what is meant by a general distance function, a metric. Section 1 introduces the idea of a metric space and shows how this concept allows us to generalise the notion of continuity. Section 2 develops the idea of sequences and convergence in metric spaces. Section 3 builds on the ideas from the first two sections to formulate a definition of continuity for functions between metric spaces.

Free course

16 hrs

Science, Maths & Technology

This free course contains an introduction to rings and polynomials. We see that polynomial rings have many properties in common with the integers; for example, we can define a division algorithm, and this enables us to develop the analogue of the highest common factor for two polynomials. Section 1 explores the abstract definitions of a ring and a field. Sections 2 and 3 define polynomial rings where the coefficients of the polynomials are elements from a given field. Section 3 develops results concerning the divisibility of polynomials.

Free course

16 hrs

Science, Maths & Technology

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 of functionals. Section 3 looks at partial and total derivatives. Section 4 contains a derivation of the Euler-Lagrange equation. In Section 5 the Euler-Lagrange equation is used to solve some of the earlier problems, as well as one arising from a new topic, Fermat’s principle.

Free course

16 hrs

Science, Maths & Technology

The internet, like the telephone system which preceded it, depends for its existence on communications networks. This free course, Protocols in multi-service networks, examines these networks as the means of interconnecting devices so that two-way communication is possible. Examining protocols like HTTP, TCP/IP and ATM as well as the OSI reference model, it provides an overview of the topic for learners who have significant prior knowledge of the subject.

Free course

30 hrs

Science, Maths & Technology

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.

Free course

8 hrs

Science, Maths & Technology

Motion is vital to life, and to science. This free course, Describing motion along a line, will help you to understand why classical motion is probably the most fundamental part of physics. You will examine motion along a line and the ways in which such motion can be represented, through the use of graphs, equations and differential calculus.

Free course

15 hrs

Science, Maths & Technology

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.

Free course

20 hrs

Science, Maths & Technology

BBC News 24, Sky News, CNN. We live in an era where news has become almost instantaneous. This free course, IT: Information, will look at how news is gathered and the technology that's used for its dissemination. You will also be encouraged to examine how information might be manipulated by questioning its reliability.

Free course

20 hrs

Science, Maths & Technology

To develop as an independent, confident learner you will need to learn the study skills involved in reading articles, taking notes and summarising the information that you have obtained from an article. This free course, IT: Technology news, explores the use of the Web as a resource for keeping up to date, looking in particular at how to ------ material available online.

Free course

8 hrs

Science, Maths & Technology

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.

Free course

4 hrs