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\textbf{Math 425: Complex Variables}
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\textbf{Quiz 10}\quad \textsl{April 26, 2002}

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1. State the Maximum Modulus Principle.

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2. Show that a non-constant fractional linear transformation
$T:\C\cup\{\infty\}\to\C\cup\{\infty\}$ is one-to-one
and onto.

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3. Describe the image of the line $\Im(z) = 1$ under the transformation
$T(z) = \frac{z-i}{z+i}$.\newline
[Be as explicit as possible: give its equation, draw a picture, etc.]

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