STARMAST

St Andrews Resources in Mathematics and Statistics

Welcome!

Welcome to STARMAST, an accessible, inclusive, and free-to-use bank of online resources in mathematics and statistics made by University of St Andrews staff and students for any student of mathematics or statistics. Please see our about page if you would like to learn more about the project, or our full index to dive in to over 180 pages of written resources!

STARMAST full index

This is a complete index of links to all available written materials on the STARMAST site, sorted by topics.

List of study guides

Our study guides, written by students for students on a specific area of mathematics or statistics, can be found here.

List of questions and answers

You can find all of our questions and answers accompanying our study guides here.

List of factsheets

You can find all of our factsheets here - including trig identities, calculus results, probability distributions, and much more!

List of proof sheets

You can find all of our proof sheets here - including proofs of the quadratic formula, scalar product, rules of differentiation and much more!

List of interactive apps

Here are all of the calculators and interactive resources in STARMAST, including statistical calculators, blank graphical calculators, coin flip simulators and much more!

About STARMAST

About the website, including a guide of how to use the site, a list of contributors and partners, links to our licensing and cookie pages, and much more!

News archive

You can find our news archive here.

Contact page

Find out how to contact us on this page via email or social media, or you can join our mailing list!

Latest news

Colossal website update!

Lots of new content, plus 1000 active users, Instagram takeover, and more…

Apr 3, 2026

Tom Coleman

Guide of the month

Matrix multiplication

Matrices are rectangular arrays of mathematical objects with entries arranged in rows and columns. Matrices are a very useful concept within mathematics and statistics. You’ll see them used for solving simultaneous equations, modelling data in several variables, and much more. This guide will explain when and how you can multiply together two matrices.

Jessica Taberner

Other

Link to our about page

Link to our VIP page, containing all VIP resources

Link to our licensing information

Link to our cookie policy

Partners

We are the recommended provider of central University of St Andrews maths and stats support resources, as directed by the Learning and Writing Centre at IELLI at St Andrews.

Logo of the Learning and Writing Centre at the University of St Andrews.

We would not exist without the Summer Teams Enterprise Programme scheme, and particularly the Vertically Integrated Project scheme, both of which are run at the University of St Andrews.

Logo of the Vertically Integrated Project scheme at the University of St Andrews.

Finally, we are delighted to have our interactive figures powered by Desmos Studios PBC.

Logo of Desmos Studios PBC.

Your feedback is appreciated and useful. Feel free to leave a comment here,
but please be specific with any issues you encounter so we can help to resolve them
(for example, what page it occured on, what you tried, and so on).