Review For 515 Test 1
Denitions of the words in boldface may be asked on the exam.
Chapter 1
Denitions: absolute value(norm), conjugate, polar form, nth roots of unity, Eulers formula
Proofs:Trig identities (22), Reverse triangle inequality 7(c)
Sample pr
MATH 515 Quiz 2
Name:
Student number:
Show all work. 5 points each.
1. a) Find the real and imaginary parts of f (z) = 1/z.
b) Show the Cauchy-Reimann equations are satised for z = 0.
c)Use b) to nd the real and imaginary parts of g(x) = z 2 .
(z)2 dz whe
MATH 515 Quiz 1
Name:
Student number:
.
Show all work. 5 points each.
1. Describe/Draw the region in the complex plane satisfying the inequality
1
<1.
|z 1 i|
zn =
2. Show that
n=0
CONVERGES.
1
if |z| < 1. MAKE SURE TO DISCUSS WHY IT
1z
Introduction to Complex Variables.
Math 515 Fall 2014
Instructor
Dr. Mark Lammers
201A Bear Hall
Oce Hours
[email protected]
962-3958
http:/people.uncw.edu/lammersm/
MW 1-2 T 11-12
Text Schaums Outline of Complex Variables, 2ed Speigel et al.
Attendance R