Teaching
This term I am teaching MATH40011 Calculus and Applications I at Imperial.
At Cambridge, I taught:

Part IA Differential Equations
linear differential equations, difference equations, nonlinear equations, partial derivatives, stationary points, stability of solutions 
Part IA Vectors & Matrices
complex numbers, matrices, determinants, linear maps, systems of linear equations, eigenvectors, diagonalisation, Jordan normal form 
Part IB Complex Analysis
analytic functions, conformal mappings, contour integration, Cauchy's theorem, Liouville's theorem, Morera's theorem, the principle of isolated zeros, windings numbers, Jordan's lemma, argument principle, open mapping theorem 
Part II Fluid Dynamics
Couette and Poiseuille flows, the Stokes layer, the Rayleigh problem, Stokes flow, lubrication theory, HeleShaw cell, vorticity equation, vortex stretching, boundary layers at high Reynolds number 
Part II Asymptotic Methods
asymptotic expansions, Watson's lemma, Laplace's method, RiemannLebesgue lemma, method of stationary phase, method of steepest descent, WKB method 
Part II Further Complex Methods
Cauchy principal value, Hilbert transform, multivalued functions, Gamma function, Beta function, Riemann zeta function, distribution of prime numbers, solution of differential equations by integral representations, secondorder ODEs in the complex plane, Riemann Pfunction, hypergeometric function