M417

Fall 1996

hw15.tex due Dec. 4, 1996

1.: Find the fractional linear transformation which carries the points 1, i, −1 into the points 1, i, −i respectively.

a): What is the image of the circle {|z| = 1}?

b): What is the image of the open disk {|z| < 1 }?

2.: Find the fractional linear transformation which carries the points 1, i, −1 into the points 1, − i, i respectively.

a): What is the image of the circle {|z| = 1}?

b): What is the image of the open disk {|z| < 1 }?

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