2011-9.md

course	course_year	question_number	tags	title	year
Complex Analysis or Complex Methods	IB	9	IB 2011 Complex Analysis or Complex Methods	Paper 1, Section I, A	2011

Derive the Cauchy-Riemann equations satisfied by the real and imaginary parts of a complex analytic function $f(z)$.

If $|f(z)|$ is constant on $|z|<1$, prove that $f(z)$ is constant on $|z|<1$.