This repository contains notes and exercises for some physics courses I am teaching or have taught at NTU.

This course introduces year-2 undergraduates to complex numbers and their applications in physics and other sciences. Topics covered include:

• Complex numbers
• Complex representations of waves and oscillations
• Complex calculus (derivatives and contour integrals)
• Fourier series and Fourier transforms
• Green's functions methods.

The course notes are maintained in two different formats:

• LaTeX notes, located in latex/complex. Compiled PDFs can be found on my homepage.
• Jupyter notebooks, located in jupyter/complex.

The two formats have similar contents, but the Jupyter notebooks contain interactive plots that help illustrate various mathematical concepts.

This course covers advanced concepts in quantum mechanics, with a focus on foundational topics required for quantum field theory. It is meant for year-4 undergraduates or year-1 graduate students who have already taken introductory courses in quantum mechanics. Topics covered include:

• Scattering theory
• Quantum entanglement
• Identical particles
• Quantum electrodynamics

The course notes are in LaTeX format, located in latex/gradqm. Compiled PDFs can be found on my homepage.

An accompanying set of Jupyter notebooks, located in jupyter/gradqm, provides numerical exercises to accompany the course notes (e.g., computing the Born series using Monte Carlo integration).

Introductory physics course with an emphasis on scientific report writing and error analysis.

A set of notes on error analysis and lab report standards are maintained in latex/lab.