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tutorial%20complex%201

tutorial%20complex%201 - The University of Queensland...

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The University of Queensland School of Information Technology & Electrical Engineering ELEC3002/ELEC7005 Computational Mathematics for Engineers Tutorial Complex #1 Q1 Show that ( ) 1 cos 2 j j e e θ θ θ = + ; ( ) 1 sin 2 j j e e j θ θ θ = . Q2 Evaluate all the roots of 15 8 j Q3 If evaluate 1 2 3 4 ; 4 3 z j z = = − + j 1 2 z z and 1 2 z z × Q4 let Find the values of w which correspond to the points and (trivial). Now join the two points and find the curve in the w -plane that the line is mapped to. ( ) 2 w f z z = = 1 3 z j = 2 z = − + j z Q5 (Multiple valued functions). If
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• '09
• andrew
• University of Queensland School of Information Technology, Electrical Engineering ELEC3002/ELEC7005, Engineers Tutorial Complex

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