Free courses
Produced by The Open University, a world leader in open and distance learning, all OpenLearn courses are free to study. We offer nearly 1000 free courses across 9 different subject areas. Our courses are available to start right away.
- Mathematics & Statistics
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level 2: intermediate icon
Science, Maths & Technology
Second-order differential equations
This free course is concerned with second-order differential equations. Section 1 introduces some basic principles and terminology. Sections 2 and 3 give methods for finding the general solutions to one broad class of differential equations, that is, linear constant-coefficient second-order differential equations. Section 2 covers homogeneous ...
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level 1: introductory icon
Science, Maths & Technology
Rounding and estimation
Scientific calculators are a wonderful invention, but they're only as good as the people who use them. If you often get an unexpected or ridiculous result when you press the enter button, this free course, Rounding and estimation, is for you. Learn how to do a calculation correctly and get the right answer every time.
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level 1: introductory icon
Science, Maths & Technology
Ratio, proportion and percentages
From politics to cookery, ratios, proportions and percentages are part of everyday life. This free course is designed to help you become more familiar with how figures can be manipulated, then you can check whether that discount really is as big as they claim!
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level 2: intermediate icon
Science, Maths & Technology
Point estimation
This free course looks at point estimation, that is, the estimation of the value of the parameter of a statistical model by a single number, a point estimate for the parameter. Section 1 develops some aspects of maximum likelihood estimation. In particular, you will find out how to obtain the maximum likelihood estimator of an unknown parameter,...
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level 2: intermediate icon
Science, Maths & Technology
Interpreting data: Boxplots and tables
This free course, Interpreting data: Boxplots and tables, is concerned with two main topics. In Section 1, you will learn about another kind of graphical display, the boxplot. A boxplot is a fairly simple graphic, which displays certain summary statistics of a set of data. Boxplots are particularly useful for assessing quickly the location, ...
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level 2: intermediate icon
Science, Maths & Technology
Number theory
This free course is an introduction to Number Theory. Section 1 provides a brief introduction to the kinds of problem that arise in Number Theory. Section 2 reviews and provides a more formal approach to a powerful method of proof, mathematical induction. Section 3 introduces and makes precise the key notion of divisibility. The Division ...
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level 1: introductory icon
Science, Maths & Technology
More working with charts, graphs and tables
When you encounter maths or technical content you'll need to know how to interpret this information, and possibly to present your own findings in this way. This free course, More working with charts, graphs and tables, will help you to develop the skills you need to do this, and gain the confidence to use them. This free course builds on our ...
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level 2: intermediate icon
Science, Maths & Technology
Group theory
This free course consolidates and builds on group theory studied at OU level 2 or equivalent. Section 1 describes how to construct a group called the direct product of two given groups, and then describes certain conditions under which a group can be regarded as the direct product of its subgroups. Section 2 describes the key properties of the ...
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level 1: introductory icon
Science, Maths & Technology
Geometry
Geometry is concerned with the various aspects of size, shape and space. In this free course you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.
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level 1: introductory icon
Science, Maths & Technology
Exploring data: Graphs and numerical summaries
This free course, Exploring data: graphs and numerical summaries, will introduce you to a number of ways of representing data graphically and of summarising data numerically. You will learn the uses for pie charts, bar charts, histograms and scatterplots. You will also be introduced to various ways of summarising data and methods for assessing ...
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level 1: introductory icon
Science, Maths & Technology
Diagrams, charts and graphs
Diagrams, charts and graphs are used by all sorts of people to express information in a visual way, whether it's in a report by a colleague or a plan from your interior designer. This free course will teach you how to interpret these tools and how to use them yourself to convey information more effectively.
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level 1: introductory icon
Science, Maths & Technology
Introduction to differentiation
This free course is an introduction to differentiation. Section 1 looks at gradients of graphs and introduces differentiation from first principles. Section 2 looks at finding derivatives of simple functions. Section 3 introduces rates of change by looking at real life situations. Section 4 looks at using the derivative of a function to deduce ...