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Mathematics for science and technology free course icon level 1: introductory icon Badge icon

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 ...

Free course
24 hrs
Moons of our Solar System free course icon level 1: introductory icon Badge icon

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?

Free course
24 hrs
Introduction to algebra free course icon level 1: introductory icon

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 ...

Free course
16 hrs
Introduction to number theory free course icon level 1: introductory icon

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. ...

Free course
18 hrs
Introduction to differential equations free course icon level 1: introductory icon

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...

Free course
18 hrs
Introduction to differentiation free course icon 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 ...

Free course
18 hrs
Assessing contemporary science free course icon level 2: intermediate icon

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 ...

Free course
9 hrs
An introduction to web applications architecture free course icon level 2: intermediate icon

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.

Free course
8 hrs
Introduction to group theory free course icon level 2: intermediate icon

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 ...

Free course
16 hrs
Introduction to linear equations and matrices free course icon level 2: intermediate icon

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....

Free course
16 hrs
Introduction to analysis free course icon level 2: intermediate icon

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 ...

Free course
16 hrs
Second-order differential equations free course icon 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 ...

Free course
16 hrs