On this page, I will upload mathematical notes and other resources that I have created.
The terms Extension 1 and Extension 2 refer to the Year 12 mathematics courses of the same name which may be taken by students sitting in the Higher School Certificate in the state of New South Wales. Visit the website of the NSW Education Standards Authority (NESA) to see the syllabus requirements.
For high school students and teachers
Notes on the derivatives of trigonometric functions (Year 12, Extension 1 & 2)
Notes on the calculus of inverse trigonometric functions (Year 12, Extension 1 & 2)
Notes on the dot product (Year 12, Extension 1 & 2)
For university students
Honours course MATH4315: Introduction to Analysis of Elliptic PDE and Variational Methods (last updated 7 November 2020):
An introduction to stochastic analysis (based on STAT4528 and MATH4512)