About STARMAST
Welcome to STARMAST, an online bank of accessible resources in mathematics and statistics made by University of St Andrews staff and students for any student of mathematics or statistics. 💫
As of 25 April 2025, we have 23 study guides on 21 topics, with 23 question sheets, 23 answer sheets, 3 fact sheets and 4 proof sheets. All of our written resources can be found in our full index, and our non-Desmos interactive resources can be found in our app list.
The principles behind our approach to accessibility can be found in the style guide for writers (clickable link). All of our resources are free to use, and they always will be, and you can modify them for your own ends (with some restrictions); please see our licensing page for more (clickable link).
How to use
Each topic has a study guide which explains the key concepts behind the topic and contains many examples to help you understand the subject. Once you have read the guide thoroughly, there will be an opportunity for you to test your knowledge in real time using the quick-check problems at the end of each guide.
Once you have read the guide and have consolidated your knowledge in the quick-check problems, you can attempt the question sheet on that particular topic. Answer sheets are provided for every question sheet.
Catalogues of important results or information are collected in fact sheets. You may also be curious as to why results are true. If you would like to know more about where the maths in the guides comes from, then there is a proof sheet that provides more detail.
Alongside the web version, every page on the on the site has both a printable pdf version and an accessible, downloadable and editable Microsoft Word document attached. You can find these versions on the right hand side of every page, underneath the document structure.
Some links are placeholders for guides left to be written. For a list of those guides whose existence is mentioned in current materials but do not currently exist, please see Tom’s to-do list.
How to contribute
Here at STARMAST, we welcome any contributions from you, the user. Whether it is pointing out a typo in the middle of a guide, suggestions for future guides on certain topics, or even writing guides yourself, we want to hear from you.
You can leave feedback on any of our webpages, including all of our materials. This facility is provided by a comment box at the bottom of every page. Or you can email tdhc (at) st-andrews (dot) ac (dot) uk with any issues.
In particular, if you would like to contribute, please email tdhc (at the address above), and see the list of wanted topics, the style guide, and the readme file on the github repository.
About us
Contributors
This project would not be possible without student contributors from the University of St Andrews. Each person in the list below (in reverse chronological order) has contributed a great deal of their time and effort to creating resources for this website.
VIP 2024/25
Semester 2 team: Michelle Arnetta, Donald Campbell, Sophie Chowgule, Sara Delgado Garcia, Tristin Doherty, Millie Pike, Jess Taberner.
Semester 1 team: Mohit Agarwal, Ideja Bajra, Ollie Brooke, Sophie Chowgule, Charlotte McCarthy, Ellie Trace, Max Volmar.
STEP summer 2023
Graduate coach: Kate Mowbray
Team 1: Ritwik Anand, Zheng Chen, Zoë Gemmell, Renee Knapp, Isabella Lewis, Colin Murray, Kin Wang Pang, Akshat Srivanasta.
Team 2: Shanelle Advani, Ciara Cormican, Krish Chaudhary, Ellie Gurini, Ifan Howells-baines, Dzhemma Ruseva, Mark Toner.
Editor-in-chief
Dr Tom Coleman (known on site as tdhc) is a Lecturer (Education Focused) in the School of Mathematics and Statistics at the University of St Andrews.
Tom is an avid cricket, coffee and cryptic crossword fan, and enjoys rock music as loud as is tolerable. His favourite Pokemon is Lanturn.
Partners
This project would not be possible without students and staff from the University of St Andrews, and the various structures for education that is provided by the University.
We are delighted to have our interactive figures powered by Desmos Studios PBC..
