2008-30.md

course	course_year	question_number	tags	title	year
Complex Analysis or Complex Methods	IB	30	IB 2008 Complex Analysis or Complex Methods	1.I.3C	2008

Given that $f(z)$ is an analytic function, show that the mapping $w=f(z)$

(a) preserves angles between smooth curves intersecting at $z$ if $f^{\prime}(z) \neq 0$;

(b) has Jacobian given by $\left|f^{\prime}(z)\right|^{2}$.