Welcome to Expos!


About the site.

Welcome! On this site you will find free mathematics courses, written in an expository style with a focus on easy to follow and digest, whilst still being thorough. To begin with, this site will focus on pure mathematics at the undergraduate level. Over time however, I hope to expand into a variety of undergraduate courses, including probability and/or dynamics. There is also potential to expand to graduate level courses.

Detailed explanations will be given for all concepts with lots of examples. At the end of each section within the modules there will be exercises with full worked solutions to give you some practice in working with the ideas just learnt.

Alongside the courses, I hope to begin writing about various topics that I am currently working on and/or reading about in a blog-like format. Topics here will range from recreational mathematics to graduate level content.

Finally, you can find comments sections on each module page where questions, suggestions and everything else can be discussed.

So whether you are learning linear algebra for the first time, or interested in reading mathematical blogs, I hope there is something worthwhile on the site for you!

Free mathematics courses.

Below are the courses currently available and/or in the pipeline. Please click on a link to be taken to the module page. If you have any suggestions for new courses or feedback on any of the existing ones please get in via email which can be found in the footer at the bottom of any page within the site.

free mathematics courses in modules such as group theory

Group theory
(coming soon)

Blog.