Math 410: Complex Analysis

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Complex Analysis by Dennis G Zill and Patrick D. Shanahan (I have the 2nd Edition)

Last updated 5:36 PM on 1/30/26
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11 Terms

1
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Complex numbers are in what form

z=a+bi where a and b are real numbers (January 26, 1.1) (Exam 1 Material)

2
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What does Re(z) mean

Refers to the real part of z. The a value (January 26, 1.1) (Exam 1 Material)

3
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What does Im(z) mean

Refers to the imaginary part of z. The b value (January 26, 1.1) (Exam 1 Material)

4
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What is the modulus of z=x+yi

(January 28, 1.2) (Exam 1 Material)

<p>(January 28, 1.2) (Exam 1 Material)</p>
5
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List all 4 properties of the modulus.

(January 28, 1.2) (Exam 1 Material)

<p>(January 28, 1.2) (Exam 1 Material)</p>
6
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Suppose z1 does NOT equal z2. What is the triangle inequality?

(January 28, 1.2) (Exam 1 Material)

<p>(January 28, 1.2) (Exam 1 Material)</p>
7
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What is |z1| - |z2| less than or equal to?

(January 28, 1.2) (Exam 1 Material)

<p>(January 28, 1.2) (Exam 1 Material)</p>
8
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What is ||z1|-|z2|| less than or equal to?

(January 28, 1.2) (Exam 1 Material)

<p>(January 28, 1.2) (Exam 1 Material)</p>
9
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In the complex plane, if x=Re(z) and y=Im(z), what is z?

(January 30, 1.3) (Exam 1 Material)

<p>(January 30, 1.3) (Exam 1 Material)</p>
10
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What is the principal argument?

(January 30, 1.3) (Exam 1 Material)

<p>(January 30, 1.3) (Exam 1 Material)</p>
11
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What is De Moivre’s Formula? For what values does it work

Works for integer values of n. (January 30, 1.3) (Exam 1 Material)

<p>Works for integer values of n. (January 30, 1.3) (Exam 1 Material)</p>