Teaching

Mathematics suffers from misconceptions. To many, it is a world of sums, while even to students many topics can seem esoteric, leading to the dreaded question, “But where would I use this?”.

As a lecturer, I promote Mathematics for what it really is: a subject of problem solving and critical thinking, with applications in practically every walk of life. You can find more details and some of my lecture notes below.

Current teaching

I currently teach three modules at the University of Hull.

A second-year module Analysis, which is a classic first course in real analysis and calculus, focussing on proof and mathematical rigour.
My lecture notes can be found here. They lean heavily on the excellent textbook by Bartle & Sherbert, which I thoroughly recommend.
Previously a third-year module, but now second, on Partial Differential Equations. The course introduces techniques for solving PDEs with a wide variety of different real world motivations, such as the heat transfer, waves and music, and traffic flow.
My lecture notes can be found here.
I teach an MSc course on Advanced Fluid Dynamics, which explores high- and low-Reynolds number asymptotic limits of fluid flows, covering topics from aerodynamics to lubrication theory.
My lecture notes can be found here.

I also supervise third-year research projects. This year I have a student working on how to score a basketball free throw and another looking at the coffee-ring effect. In the past, I have also worked with students on metric & topological spaces, asymptotic approximations of integrals and the life and mathematics of Terence Tao!

Previous teaching experience

In my previous role as Darby Fellow of Lincoln College, Oxford, I ran tutorials for a wide range of applied mathematics and physics modules. In particular, I covered topics on:

first-year Mathematics modules: Geometry, Fourier Series and PDEs and Multivariable Calculus;
second-year Mathematics modules: Differential Equations I & II and Calculus of Variations;
first-year Physics modules Linear Algebra; Calculus and Waves & Normal Modes.

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