Teaching

A record of everything I have taught, and teaching materials that I have written over the years. Please send me corrections and suggestions, or if you want to extend them I’m happy to provide the LaTeX sources.

Engineering, University of Cambridge

Courses

I was a supervisor at the college level (2^nd year courses, Peterhouse) as well as the departmental level (3^rd year courses) during my PhD and shortly after. Supervisions are like seminars but with 2–3 students per session: for engineering, a typical supervision involves trying to find gaps in their understanding and making sure that they can do all questions on a problem sheet, then pushing them beyond their comfort zone in the remaining time.

• 2P7 “Mathematical Methods”: a course on PDEs, probability and linear algebra.
  • Notes on curl, divergence and shear: decomposing the gradient
  • Notes on angular velocity
• 3M1 “Mathematical Methods”: linear algebra, optimization, markov processes and sampling.
  • Notes on a positive-definiteness trick that’s no longer taught
• 3F2 “Systems and Control”: intro to dynamical systems, Lyapunov’s indirect method, block diagrams and design for common types of controllers.
  • Companion guide: for the 2023 year when I had 20 groups of students, I wrote this in an attempt to fill in any missing information, answer common questions and provide an alternative view to the course.

Projects

• Master’s project “Characterisation of 3D Vascular Networks” (2019–20, co-supervised with Prof. Athina Markaki)

Private tutoring

I have previously tutored students aged 12–18 in mathematics, both extracurricular and remedial. I am not currently taking new students.