This course offers useful skills and solutions to help you get back into a career in science, technology, engineering or mathematics (STEM).

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 ...

Do fractions and decimals make you apprehensive about maths? Do you lack confidence in dealing with numbers? If so, then this free course, Numbers, units and arithmetic, is for you. The course will explain the basics of working with positive and negative numbers and how to multiply and divide with fractions and decimals.

Maths is intimately entwined with science and technology, whether it is used to analyse data collected on plants in the Amazon rainforest, to calculate the trajectory of a comet or design a bridge to connect two countries. This means that science and technology go hand-in-hand with maths, and that a firm grasp of maths is crucial for studying ...

This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. ...

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.

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 ...

This free course, Everyday maths 2, will build on your existing maths skills and help you to feel more confident tackling the maths you come across in everyday situations.

This free course, Everyday maths 1, is designed to bring your learning to life, inspiring you to improve your current maths skills or helping you to remember any areas that you may have forgotten. Working through the examples and interactive activities in this course will help you to, among other things, run a household or make progress in your ...

The Egyptians are known for being ahead of their time in comparison to some civilisations that came after them. This free course, Egyptian mathematics, looks at how the Egyptians solved mathematical problems in everyday life and the technology they used. An understanding of this area has only been possible following the translation of the ...