From the catalogue:
Complex functions and integration, line and surface integrals, Fourier series, partial differential equations.

Joukovski map

This is the conformal map: $J(z)=z+\frac{1}{z}$ Shown is the mapping the circle $|z-a|=|1-a|$ (blue) to an airfoil (red). The number $a$ (the center) varies over an interval in the complex domain.