Undergraduate Mathematics Notes (King's College London)

My undergraduate maths notes from King's College London

This project contains notes from my undergraduate mathematics degree, organised by academic year and module. Each module is hyperlinked to a standalone PDF for convenient access.


⚠️ A Note Before You Dive In

These notes are very much a work-in-progress — and in many ways, a time capsule.

  • The Year 1 notes were my first attempt at using LaTeX, so they’re full of typos, formatting quirks, and clunky notation. Be kind.
  • Some notes are incomplete — either because I was too lazy, too busy, or because life (and deadlines) got in the way.
  • Course content may have changed since I took these modules. These notes reflect what I was taught at the time, and may not perfectly match current syllabi.

Despite all that, I hope you find something useful here. Use them, improve them, ignore them — your choice.


📘 Year 1

  • Calculus I
    PDF | TeX

  • Linear Algebra & Geometry I
    PDF | TeX

  • Sequences & Series
    PDF | TeX

  • Introduction to Abstract Algebra
    PDF | TeX

  • Calculus II
    PDF | TeX

  • Linear Algebra & Geometry II
    PDF | TeX

  • Introduction to Dynamical Systems
    PDF | TeX

  • Probability & Statistics I
    PDF | TeX


📗 Year 2

  • Real Analysis
    PDF | TeX

  • Classical Dynamics
    PDF | TeX

  • Groups & Symmetries
    PDF | TeX

  • Complex Analysis
    PDF | TeX

  • Introduction to Number Theory
    PDF | TeX

  • Metric Spaces & Topology
    PDF | TeX

  • Introductory Quantum Theory
    PDF | TeX


📙 Year 3

  • Geometric Topology
    PDF | TeX

  • Rings & Modules
    PDF | TeX

  • Galois Theory
    PDF | TeX

  • Advanced Quantum Mechanics
    PDF | TeX

  • Representation Theory of Finite Groups
    PDF | TeX

  • Algebraic Geometry
    PDF | TeX


📚 Looking for Better Notes?

If you’re after more polished, complete, and overall better notes, I highly recommend checking out the work of my dearest comrade and brother, Jan Olucha Fuentes:

👉 Visit his site here
https://janolucha.github.io

His notes are cleaner, better organised, and written with more care and (a lot of) caffeine-induced shenanigans than mine. A true act of service to the maths student community.