Welcome

This is the course text for MATH0007, an introductory algebra module for UCL first year joint honours students. These notes are split into three parts: Chapter 1 on sets, functions, and relations, Chapters 2 and 3 on linear algebra, and Chapter 4 on group theory.

UCL students can find an exact syllabus, along with problem sheets and suggested reading, on the module Moodle page.

Take a moment to experiment with the controls in the toolbar at the top of the page. You can search these notes for a word or phrase (for example, to look up a definition). You can adjust the typeface, the font size, and the background colour to make the text easier to read. You can also download an offline copy of these notes in various formats. Please get in touch if you’ve got any accessibility requirements that aren’t met - I’m happy to help.

I hope you enjoy the course. If you have any questions, comments, or corrections then please email me.