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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 2: intermediate icon
Science, Maths & Technology
Rings and polynomials
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 ...
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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 1: introductory icon
Science, Maths & Technology
Introducing technology and innovation management
This free course will introduce you to technology and innovation management and is relevant to managers and students of technological innovation. You will learn about innovation types and processes, how innovation can add or create value, and about the management activities that underpin the innovation and value creation process. You do not ...
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level 1: introductory icon
Nature & Environment
Studying mammals: Chisellers
Ever wondered why rats, mice and squirrels seem to reproduce at such an alarming rate? Rodents are among the most successful of all the mammal groups. In this free course, Studying mammals: Chisellers, you will learn more about some of the evolutionary features that make these creatures so plentiful. This is the third course in the Studying ...
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level 2: intermediate icon
Science, Maths & Technology
An introduction to minerals and rocks under the microscope
In this free course, An introduction to minerals and rocks under the microscope, you will experience the study of minerals using a polarising microscope. While the study of minerals can involve electron or ion beam chemical analysis, the polarising microscope remains the prime tool for the study of rock thin sections and is the foundation of ...
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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
Language, notation and formulas
Communication is as vital in mathematics as in any language. This free course, Language, notation and formulas, will help you to express yourself clearly when writing and speaking about mathematics. You will also learn how to answer questions in the manner that is expected by the examiner.
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level 1: introductory icon
Science, Maths & Technology
Learning, thinking and doing
How do we learn? Understanding how is the key to learning more effectively. This free course, Learning, thinking and doing, looks at the three main categories of theories: the acquisitive, constructivist and experiential models of learning. There is no right way to learn but developing an active approach will ensure that you are open to new ideas.
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level 1: introductory icon
Science, Maths & Technology
Systems modelling
Maps and plans, architects and engineers, drawings, graphs and tables: all are models we use in everyday life. This free course, Systems modelling, will introduce you to the modelling process, enabling you to recognise that systems models may be used in different ways as part of a process for: improving understanding of a situation; identifying ...
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level 1: introductory icon
Nature & Environment
Studying mammals: Meat eaters
The powerful and majestic carnivores are the focus of many television documentaries. In this free course, Studying mammals: Meat eaters, we will delve into the lives of these fearsome hunters and explore their physical adaptations and social behaviour. This is the fifth course in the Studying mammals series.
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level 1: introductory icon
Science, Maths & Technology
What is the genome made of?
Genomes are composed of DNA, and a knowledge of the structure of DNA is essential to understand how it can function as hereditary material. DNA is remarkable, breathtakingly simple in its structure yet capable of directing all the living processes in a cell, the production of new cells and the development of a fertilized egg to an individual ...