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1.4.12
2.2 q1418
Final exam
Homework 1
Homework 2
Images and preimages
Incomplete lecture 9 notes
List of most confusing topics
Midterm
Midterm Summer 2011
Mobius transformations
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Quiz 1 Summer 2011
Quiz 2
Quiz 2 Summer 2011
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Quiz 3 Summer 2011
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1. Find
since
as
2.
Which of the following limits does not exist?
Answer
limit of z
5
Re(z)/Im(z) as z tends to 0
limit of z
5
Re(z)/z
5
as z tends to 0
limit of Im(z
2
)/Im(z) as z tends to 0
limit of Re(z
2
)/Im((1+i)z) as z tends to 0
The first one.
3. Which of the following sets is different from the others?
Answer
Image of Re(z)>1/2 under f(z)= 1/z  1
{z  z
100
<z
2
 }
Preimage of {w Re(w)<1} under f(z)=z
{z conjugate(z)<1 and Re(1/(1+z))>0}
the second one
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since
as
2.
Which of the following limits does not exist?
Answer
3. Which of the following sets is different from the others?
Answer