




Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
These are the notes of Exam of Complex Analysis and its key important points are: Imaginary Parts, Express, Form, Real and Imaginary Parts, Principal Branch, Singular Points, Region, Image, Mapping, Function
Typology: Exams
1 / 8
This page cannot be seen from the preview
Don't miss anything!
United Arab Emirates University College of Sciences Department of Mathematical Sciences
Complex Analysis I MATH 315 SECTION 01 CRN 23516 9:30 { 10:45 on Monday & Wednesday Date: Wednesday, January 6, 2010
Name:
p 3)^9 in the form of x + iy.
of g(z) = ef^ (z)^ = exp (ez^ ).
w = ezi^ and sketch the region S^0.
x
y
i =3 +^ i
for all z in D, then f must be constant throughout D.
(1 + i)^1 =^2
oriented in the counterclockwise direction (see gure). Then show that Z C^ (e
z (^) z) dz 60 :
x
y
3 i
Z C z + 1 z = 2
! 3 dz, where C is the positively ori- ented circle jzj = 1.
Z C
ez^2 (z i)^3 dz, where^ C^ is the positively oriented circle jz ij = 1.
on the whole complex plane.