14. Final Review

Key Themes In Final Review — Quiz

Test your understanding of key themes in final review with 5 practice questions.

Practice Questions

Question 1

What does it mean for a function to be analytic at a point?

Question 2

If $f(z)=u(x,y)+iv(x,y)$ is analytic, which relations must $u$ and $v$ satisfy?

Question 3

What is $f'(z)$ when $f(z)=z^2$?

Question 4

If $f$ is analytic on and inside a simple closed contour $\gamma$, what is $\oint_\gamma f(z)\,dz$?

Question 5

What type of singularity does $f(z)=\frac{1}{z-a}$ have at $z=a$?