13. Conformal Mapping

Local Angle Preservation — Quiz

Test your understanding of local angle preservation with 5 practice questions.

Practice Questions

Question 1

At a point where an analytic function is conformal, what property of two smooth curves meeting there is preserved?

Question 2

Which condition must hold at $z_0$ for an analytic function $f$ to be conformal there?

Question 3

What does the map $f(z)=2z+3$ do to angles between intersecting curves?

Question 4

If $f'(z_0)=0$, which statement is most accurate about conformality at $z_0$?

Question 5

For $f(z)=z^3$, what is the local scale factor at $z_0=1$?