11. Residues

Residue Theorem — Quiz

Test your understanding of residue theorem with 5 practice questions.

Practice Questions

Question 1

What does the residue theorem state for a positively oriented simple closed contour $C$?

Question 2

For a positively oriented contour, in which direction is the curve traversed?

Question 3

If $f$ has no singularities inside a closed contour $C$ and is analytic on and inside $C$, what is $\oint_C f(z)\,dz$?

Question 4

What is $\oint_{|z|=2} \frac{1}{z-1}\,dz$ when the circle is traversed counterclockwise?

Question 5

What is $\oint_{|z|=2} \frac{1}{z(z-3)}\,dz$ when the circle is traversed counterclockwise?