These are the lecture notes for the 2023 edition of the first year UCL module MATH0005 Algebra 1. If you are reading the web version of these notes and you want a pdf copy, you can find one at this link.
In 2021 this course was taught online. The lecture videos are available as a YouTube playlist on YouTube, but be warned that the treatment of some topics (especially first order logic) is slightly different in these notes.
I hope you enjoy the module. If you have questions or comments on the material, or if you find errors in the text, please email me at m.towers@ucl.ac.uk
You will find suggestions for further reading at the end of each chapter.