Quiz5.EGM4313.Fall2011

Quiz5.EGM4313.Fall2011 - EGM 4313 Fall 2011 NAME:_ Quiz 5...

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EGM 4313 – Fall 2011 NAME:_____________________________ Quiz 5 Open book – Closed notes – No calculators – 25 minute time limit Evaluate the integral 2 2 2 exp( ) ( 1) z z dz z taken in the counterclockwise direction. (Note: the path is a circle of radius 2 centered at the origin.) Easiest method : 2 ( ) 2 12 1 2 2 1 ! ( ) exp( ) 2 ( ) (exp( )) 2 ( ) ( 1! 2 (2 exp( )) 4 n o n z o Cz z n f z z i d f z dz dz z i z z z dz i z z ei Laurent expansion method: Let 2 2 2 2 2 22 2 2 2 2 ( ) exp( ) ( ) 2 exp( ), ( )
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This note was uploaded on 12/15/2011 for the course EGM 4313 taught by Professor Mei during the Fall '08 term at University of Florida.

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