Course notes

Disclaimer: The following notes below are provided as-is. Please contact Daniel if and when you find serious conceptual or equation errors. He will likely buy you a coffee.

A simple introduction to Automatic Differentiation

Teaching Seminar, created: 2025

Presentation PDF Python Notebook

Higher 3 Physics (JC2/Year 12)

Singapore-Cambridge General Certificate of Education, Notes created: 2010

PDF: List of useful definitions

Physics Olympiad (JC2/Year 12)

Asian Physics Olympiad and International Physics Olympiad, Notes created: 2010

PDF: Useful formulae

Introduction to Electrodynamics

An essential textbook by David J. Griffiths, Notes created: 2013

PDF: Summary of electrodynamics

Calculus of One and Several Variables (Caltech Ma 1a, Fall 2013-2014)

PDF: Ma1a summary sheet

Linear Algebra (Caltech Ma 1b, Winter 2013-2014)

PDF: Class notes

Multivariable Calculus (Caltech Ma 1c, Spring 2013-2014)

PDF: Class notes

PDF: Theorems and definitions

Introductory Methods of Applied Mathematics (Caltech ACM 95abc, 2014-2015)

PDF: ACM95a Theorems

PDF: ACM95a Class Notes

PDF: ACM95b Theorems

PDF: ACM95c Theorems

PDF: ACM95b Class Notes

Differential Equations (Caltech Ma 2, Fall 2014-2015)

PDF: Theorems

PDF: Class Notes

Probability and Statistics (Caltech Ma 3, Winter 2014-2015)

PDF: Theorems

Vibrations and Waves (Caltech Ph 12a, Fall 2014-2015)

PDF: Class Notes

Introduction to Quantum Mechanics (Caltech Ph 12b, Winter 2014-2015)

PDF: Equations

PDF: Class Notes

Statistical Mechanics (Caltech Ph 12c, Spring 2014-2015)

PDF: Equations

PDF: Class Notes

Feedback and Control Circuits (Caltech EE113, Spring 2014-2015)

PDF: Class Notes

Classical Mechanics (Caltech Ph 106abc, 2015-2016)

PDF: Ph106a Equations

PDF: Ph106a Class Notes

PDF: Ph106c Equations

Quantum Mechanics (Caltech Ph 125abc, 2015-2016)

PDF: Ph125a Equations

PDF: Ph125a Class Notes

PDF: Ph125c Equations

PDF: Ph125c Class Notes

Astrophysical Fluids (Cambridge University, Winter 2016)

PDF: Class Notes

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.