Complex Variables: The Cauchy Riemann Equations

This lecture covers the connection between the Cauchy-Riemann equations and differentiability of complex-valued functions in both rectangular and polar form. It corresponds to Sections 22-24 in Complex Variables and Applications (9th Ed.) by Brown and Churchill. A little after the 35:00 minute mark in the video, I incorrectly stated the polar form of the Cauchy Riemann Equations - it should read "rv_r = v_theta" (I mistakenly wrote "rv_r = v_r").