Welcome to my lecture notes!

This is a collection of lecture notes that I have written up using my personal notes from my undergraduate at the University of St Andrews. They consist of physics, astronomy, and maths topics ranging in complexity from first-year undergrad up to graduate level. I have chosen to type them up and put them online in case anyone finds them useful!

Currently there is an HTML version for some of the sets of notes I am working on. My goal is for there to be both an HTML and PDF version for all the notes eventually. You can flick through the notes that have been (at least partially) completed using the sidebar on the left.

The collection is currently incomplete. There are many more notes still to be uploaded and even the ones that are online still have lots of improvements and clarifications to be made. The most complete sets of notes as of writing are the ones on Classical Mechanics, Quantum Mechanics, and Real Analysis, all of which are early undergrad level. See the end of this page for an incomplete list of upcoming changes!

These notes are for anyone who is interested, but they are mostly aimed at students of physics and mathematics. I definitely wouldn't recommend using them as a primary source as, apart from being incomplete, there are plenty of superior lecture notes written by actual real-life teachers out there!

My hope is that someone finds them useful as a supplemental aid. In my opinion, it helps to interact with as many unique perspectives as possible when trying to learn complicated topics.

The notes have been typed up using LaTeX, and then the TeX source was converted to HTML and MathML using LaTeXML. The text and mathematics was all written by me, and the diagrams all were drawn by me using TikZ.

I plan to make a much more detailed post about the conversion process in the future for those that are interested. In the meantime, the LaTeX source can be viewed on Github here.

I believe I have sorted all of the major issues with the LaTeX to HTML conversion so that the typesetting of the notes looks alright in its current state. That being said, there are probably many small things and typos that I have missed.

If you spot something that doesn't look right, please feel free to let me know via the Github repo for this project :)

Here is a list of some of the things I plan to do in the future:

  • Upload more sets of notes! (Linear Algebra, Computational Physics, Complex Analysis, Lagrangian and Hamiltonian Mechanics, and General Relativity to name a few...)
  • Complete the HTML conversion for all the notes that are PDF-only at the moment.
  • Add anchor links like the ones in this page to all of the online notes!
  • Expandable proofs and example solutions so that you can work through them without seeing the solution.
  • Upload more accessible versions of the notes.
  • Add bibliographies to the notes with recommended reading.
  • Add the colour themes from the PDF versions back in to the converted HTML versions, and add some different themes (light mode in particular) for the HTML versions.