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{\bf\Large {\Huge C}omplex {\Huge A}nalysis}
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Math 312 Spring 1998 \` MWF 10:30am-11:25am\\
{\bf Buckmire} \`   Fowler 112
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\centerline{Worksheet \#1 (Monday 01/12/98)}
 
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\item[SUMMARY] What do we know about complex numbers so far? Here is a list of 
properties and operations we know about to date. Make sure you understand how each one works.
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Consider 2 complex numbers $z = x + {\bf i } y$ and $p = a + {\bf i} b$
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\item EQUALITY 
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\item CONJUGATE
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\item MODULUS (absolute value)
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\item ADDITION
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\item MULTIPLICATION
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\item DIVISION
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{\underline\bf Exercise}\\
With your nearest neighbor compute the value of the expressions $A$ and $B$ so that they are complex numbers of the form $x + {\bf i} y$.

$$A = \frac{3 + 2 i + (-2 + i)}{3 - 4 i}, \quad B = ( \frac{6}{5} + 2 i - (3 - \frac{3}{5} i) )$$
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Then answer the following questions:\\
(a) Is A = B?\\[24pt]
(b) Which is bigger, A or B?\\[24pt]
From this example write down one significant difference between the set of real numbers and the set of complex numbers:
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