MAT%203730%20Complex%20Variables

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MAT 3730Complex Variables

• Section 4.5
• Cauchy's Integral Formula and Its Consequences

http//myhome.spu.edu/lauw
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GRE Subject Test

• This is a section that you need to know for the
  GRE subject test.

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Recall Cauchys Integral Theorem
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Recall Cauchys Integral Theorem

• What if f has a singularity z0 in D?

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Cauchys Integral Formula

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Proof Outline
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Example 1

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Example 2
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Generalized Cauchys Integral Formula

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Example 3
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Example 3
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Theorem 16 -18