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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 1: introductory icon
Nature & Environment
Neighbourhood nature
There is a fascinating world of nature all around us which we can see if we know how to look for it. Wherever you live, be it in a city or the countryside, you will find areas that support a range of wildlife. This free course, Neighbourhood nature, will provide you with basic scientific and observational skills so that you can go into your ...
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level 1: introductory icon
Science, Maths & Technology
Practising science: Reading the rocks and ecology
Have you ever wondered how scientists analyse the environment? This free course, Practising science: Reading the rocks and ecology, introduces you to the techniques used by science students at residential schools. You will learn how to determine where rocks have come from and how they were made. You will also examine the processes involved in ...
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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
Introduction to computational thinking
You will learn about algorithms and abstraction in this free course, Introduction to computational thinking, and encounter some applications of computational thinking in various disciplines, ranging from biology and physics to economics and sport science.
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level 1: introductory icon
Science, Maths & Technology
Personal development planning for engineering
This free course, Personal development planning for engineering, has been written in keeping with the requirements of UK-SPEC and the professional engineering institutions (e.g. ImechE, IET etc). It will provide you with a range of relevant information and guidance in critically assessing and scrutinising your career development aspirations.
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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
Health, Sports & Psychology
Forensic science and fingerprints
This free course, Forensic science and fingerprints, covers how science can make fingerprints easier to study, how they are used in court and some of the questions about the extent to which fingerprint identification is sound and scientific. Students will learn the principles used in classifying and matching fingerprints (often called marks).
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level 3: advanced icon
Science, Maths & Technology
Influenza: A case study
This free course, Influenza: A case study, explores the biology of influenza, covering a range of topics including: the virus, infection, replication, mutation, immune responses, pathology, surveillance, diagnosis and treatment.