
Science, Maths & Technology
Mathematics for science and technology
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 ...

Science, Maths & Technology
Moons of our Solar System
In this free course, Moons of our Solar System, explore the many moons of our Solar System. Find out what makes them special. Should we send humans to our Moon again?

Science, Maths & Technology
Introduction to algebra
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 ...

Science, Maths & Technology
Introduction to number theory
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. ...

Science, Maths & Technology
Introduction to differential equations
Differential equations are any equations that include derivatives and arise in many situations. This free course, Introduction to differential equations, considers three types of first-order differential equations. Section 1 introduces equations that can be solved by direct integration and section 2 the method of separation of variables. Section...

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 ...

Science, Maths & Technology
Assessing contemporary science
It will explore the ways in which scientific knowledge develops, undergoes peer review and is communicated. The second half of the course will focus more closely on a specific scientific topic – plastics – and give you a chance to practise these skills by considering the topic's social impact, building a glossary of unfamiliar terms, and ...

Science, Maths & Technology
An introduction to web applications architecture
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.

Science, Maths & Technology
Introduction to group theory
This free course is an introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed as functions. Section 2 introduces an algebraic notation for recording symmetries and calculating composites and inverses of symmetries. Section 3 ...

Science, Maths & Technology
Introduction to linear equations and matrices
In this free course, matrices are used as a concise way of representing systems of linear equations which occur frequently in mathematics. Section 1 looks at simultaneous linear equations in two and three unknowns and then generalises the ideas to systems of linear equations. Section 2 develops a strategy for solving systems of linear equations....

Science, Maths & Technology
Introduction to analysis
This free course is an introduction to analysis which looks at real numbers and their properties, with a particular emphasis on inequalities. Section 1 starts by revising rational numbers and their decimal representations. Then, real numbers are introduced as infinite decimals. Section 2 looks at rules for manipulating inequalities and finding ...

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 ...