Cambridge Mathematics Courses

Below are the handwritten notes of the courses I took during my undergraduate years in Cambridge. I have gradually found my passion in Theoretical Physics, especially in High Energy Physics. Therefore, the contents on pure maths and fluid dynamics are, unfortunately, very limited.

If the course has an asterisk, I didn’t sit in the lectures.

Grad Courses are seminar-like lectures with no exercise or exams.

I have slightly changed some of the contents trying to make them more understandable. Apologies if there are any mistakes/typos.

Part IB(2nd year)

Electromagnetism

Fluid Dynamics

Mathematical Methods

Rigid Body Dynamics(short, part of Part IB Physics)*

Linear Algebra

Analysis&Topology

Groups, Rings and Modules

Complex Analysis

Markov Chains

Statistics

Part II(3rd year)

Principles of Quantum Mechanics

Applications of Quantum Mechanics

Statistical Physics

Electrodynamics

General Relativity

Cosmology*

Waves

Fluid Dynamics

Asymptotic Methods

Dynamical Systems

Integrable Systems

Representation Theory

Riemann Surfaces*

Graph Theory*

Revision(If you’re lazy or just want to go through everything quickly)**

Part III(Master’s year)

Quantum Field Theory

Advanced Quantum Field Theory

Statistical Field Theory(helpful to understand AQFT)

Non-equilibrium Statistical Field Theory(Grad Course)

Symmetries, Particles and Fields

Supplementary notes from Lie Algebras in Particle Physics

Standard Model

Physics Beyond Standard Model(Grad Course)

General Relativity

Black Holes

String Theory

Gauge/Gravity Duality

Supersymmetry(SUSY)

Solitons, Instantons and Physics

Revision(QFT, SUSY, SFP, GR, AQFT)**

Applications of QFT*

Canonical Gravity*


Quantum Computations*

Quantum Information, Foundations and Gravity*

Tensor Networks*


Lie Algebras and Associative Algebras

Differential Geometry

Complex Manifolds*