Citizen Maths - Powerful Ideas in Action (Calderdale College)

Citizen Maths - Powerful Ideas in Action (Calderdale College)

Citizen Maths is for people who want to improve their grasp of maths, and become more confident in using maths at work and in life. Maths may have passed you by at school. Or you may be rusty. Maybe you’ve passed maths exams but find it hard to apply what you know to the types of problem you need to solve now. Problems like using spreadsheets, judging amounts or assessing odds. If so, then Citizen Maths may be for you.

The course is at 'Level 2' — the level that a 16-year-old school leaver is expected to achieve in maths.
The course is based on solving the kinds of problems that come up at work and in life. And it is free. All you need is access to a computer, the internet and a basic grasp of maths.
Citizen Maths is a free online course. It helps you learn maths in a new way. Instead of abstract routines, the course uses practical problems to help you grasp some “powerful ideas” in maths. You can then apply these in work and in life. The course covers five such ideas:

  • Proportion
  • Uncertainty
  • Representation
  • Pattern
  • Measurement

Each takes between five and 10 hours to complete. You can spread this over a few weeks or a few days

The course will allow you to:

  • Fit your learning around other things in your life
  • Work at your own pace
  • Re-do any parts you want, as often as you want
  • Focus on the maths areas that you want
Go to Class
MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Related Courses

Precalculus: Relations and Functions (Coursera) Coursera
Johns Hopkins University

Precalculus: Relations and Functions (Coursera)

This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning student to begin their scientific career, preparing them for future science and calculus courses. This course is designed for all students, not just those interested in further mathematics courses.

Jun 1st 2026
4 Weeks
Calculus through Data & Modeling: Applying Differentiation (Coursera) Coursera
Johns Hopkins University

Calculus through Data & Modeling: Applying Differentiation (Coursera)

As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult to evaluate. We will also use the derivative to locate the maximum and minimum values of a function. These optimization techniques are important for all fields, including the natural sciences and data analysis. The topics in this course lend themselves to many real-world applications, such as machine learning, minimizing costs or maximizing profits.

Jun 1st 2026
5-12 Weeks
Analyse numérique pour ingénieurs (Coursera) Coursera
École Polytechnique Fédérale de Lausanne

Analyse numérique pour ingénieurs (Coursera)

Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles.

Jun 1st 2026
5-12 Weeks
Linear Regression and Modeling (Coursera) Coursera
Duke University

Linear Regression and Modeling (Coursera)

This course introduces simple and multiple linear regression models. These models allow you to assess the relationship between variables in a data set and a continuous response variable. Is there a relationship between the physical attractiveness of a professor and their student evaluation scores? Can we predict the test score for a child based on certain characteristics of his or her mother? In this course, you will learn the fundamental theory behind linear regression and, through data examples, learn to fit, examine, and utilize regression models to examine relationships between multiple variables, using the free statistical software R and RStudio.

May 25th 2026
4 Weeks
Calculus through Data & Modeling: Differentiation Rules (Coursera) Coursera
Johns Hopkins University

Calculus through Data & Modeling: Differentiation Rules (Coursera)

Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational functions, algebraic functions, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions.

Jun 1st 2026
5-12 Weeks
Mathematics for Machine Learning: PCA (Coursera) Coursera
Imperial College London

Mathematics for Machine Learning: PCA (Coursera)

This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto lower-dimensional subspaces. Using all these tools, we'll then derive PCA as a method that minimizes the average squared reconstruction error between data points and their reconstruction.

Jun 1st 2026
4 Weeks
Mathematical Foundations for Cryptography (Coursera) Coursera
University of Colorado System

Mathematical Foundations for Cryptography (Coursera)

Welcome to Course 2 of Introduction to Applied Cryptography. In this course, you will be introduced to basic mathematical principles and functions that form the foundation for cryptographic and cryptanalysis methods. These principles and functions will be helpful in understanding symmetric and asymmetric cryptographic methods examined in Course 3 and Course 4. These topics should prove especially useful to you if you are new to cybersecurity. It is recommended that you have a basic knowledge of computer science and basic math skills such as algebra and probability.

May 25th 2026
4 Weeks
Contenido de las matemáticas de primaria (Coursera) Coursera
Universidad de los Andes

Contenido de las matemáticas de primaria (Coursera)

En este curso de acceso gratuito*, conocerás algunos temas de las matemáticas escolares con la profundidad necesaria para que puedas ayudar a tus estudiantes a aprenderlas. En este curso, podrás conocer las matemáticas desde cuatro perspectivas: su historia, los conceptos y procedimientos que las caracterizan, las distintas formas en que se hacen presentes (p. ej., tablas, gráficas o expresiones simbólicas), y los fenómenos y situaciones que les dan sentido.

May 25th 2026
5-12 Weeks
Vector Calculus for Engineers (Coursera) Coursera
The Hong Kong University of Science and Technology - HKUST

Vector Calculus for Engineers (Coursera)

Vector Calculus for Engineers covers both basic theory and applications. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about multidimensional integration and curvilinear coordinate systems. The fourth week covers line and surface integrals, and the fifth week covers the fundamental theorems of vector calculus, including the gradient theorem, the divergence theorem and Stokes’ theorem. These theorems are needed in core engineering subjects such as Electromagnetism and Fluid Mechanics.

Jun 1st 2026
5-12 Weeks