I am having a few issues with Complex Analysis. I've done as much as I could on a few practice problems hoping I would understand it but I'm a bit stuck.
1) Find a parameterization of the line segment joining
and
. Find the image of the segment under the mapping
.
This is what I did:
and
for
The graph doesn't look look right. I've reworked it a few times and I keep getting the same answer. Am I making a silly algebraic mistake somewhere?
2)Find the image
of the set
under the given complex mapping
;
is the line
A friend told me to do it this way: Is this correct?
I'll just submit the two problems I'm having the most problem with. Thanks for looking at this.