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Material Type: Quiz; Professor: Annin; Class: Complex Analysis; Subject: Mathematics; University: California State University - Fullerton; Term: Spring 2009;
Typology: Quizzes
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Problem 1. (4 points each) Evaluate each contour integral below:
(a): (^) ∫
C
cos
( (^) z 2
dz,
where C is the line segment from z = 0 to z = π + 2i.
(b): (^) ∫
C
cos z z(z^2 + 8)
dz,
where C is the square with vertices (± 2 , ±2), with counterclockwise orientation.
(c): (^) ∫
C
4 ez z^2 − 2 z − 3
dx,
where C is a circle of radius 5 centered at the origin and with clockwise orientation.
