Updated: 09/01/24
Sam's Notes Repository
I have an extensive collection of notes, example problems, and so on which I have created throughout my career both as a student and as a tutor, which can be found either on this page (where I'll write summaries of each set of notes and what I'm currently working on), or directly from Google Drive here.
I have a lot of notes that I've compiled over time, with some originating from the last year of my A-levels when I was learning how to use LaTeX and going up to the present day where I still make notes and problem solutions for my current teaching and learning. If there's something you'd like notes on, whether that's an overview of a topic, a summary of a textbook, or a set of solutions to textbook problems, please send me an email (samsmathlectures@gmail.com) - it may be that I already have something appropriate on the backburner waiting to be reformated for uploading, or you can request the notes as a comission - I typically charge £1/page for notes (less if its something I really want to write but need an excuse, more if it's something I don't want to write very much), and if you want a summary of a textbook (that I don't already own) then I ask for 50% of the price of the book (as an e-book) to work from. If multiple people ask for the same notes then the cost is split between them.
What I'm Working On
Mathematical Methods for Physics Problem Sheets. A collection of problems and full worked solutions based on curvilinear coordinate systems, PDEs and special functions, matrices, and complex analysis - currently there are 3 problem sheets uploaded, covering the solution to PDEs in Cartesian and curvilinear coordinate systems and Legendre polynomials.
Summary Notes on "Introduction to Quantum Field Theory" by Michael Peskin and Daniel Schroeder. Basically as stated. This is the standard textbook to learn QFT from (at least in high energy physics), and I've been rereading it and making notes to solidify my understanding. Currently available are summaries of chapters 2 and 3.
General Notes Being Reviewed. I have a huge backlog of notes which I'm reformatting, checking for errors, and making ready for uploading. There's no full list of these but important highlights are: comprehensive notes on high-school level calculus (about 200 slides long), notes on various topics from A-level physics and maths, notes on tensors and transformations, an introduction to category theory for physicists.
Notes Currently Available
A Level Physics Adavanced Classical Mechanics. A summary of circular motion and simple harmonic motion for A-level physics courses, using calculus.
Rings and Modules Summary. A very quick summary of the content of the Oxford course on rings and modules, covering basic properties of rings, modules, presentations of finitely generated modules, and the structure theorem. A problem set with solutions is included.