homework20110926

homework20110926 - 5. Evaluate the integral: / 6 e i 2 t dt...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 417, Fall 2011 Exercise Set #4 Turn in: September 26 1. Log is the Principal Part of log, so Log ( z )=ln( r )+Θ,for π< Θ . Calculate: a) Log (1 + i ) b) Log ( ei ) c) log(1 i ) 2. Find all values of: a) 2 i b) (1 + i 3) 3 / 2 3. Prove the following formula involving trigonometric functions: | cos( z ) | 2 =cos 2 ( x )+sinh 2 ( y ) , where z = x + iy 4. Solve the equation sin( z )=2for z , by equating real and imaginary parts.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5. Evaluate the integral: / 6 e i 2 t dt 6. Evaluate the contour integral, for the two contours given below: C z + 4 z dz a) C is the semi-circle z = 4 e i for 0 . b) C is the circle z = 4 e i for 0 2 . 1...
View Full Document

This note was uploaded on 02/27/2012 for the course MATH 417 taught by Professor Staff during the Fall '11 term at SUNY Albany.

Ask a homework question - tutors are online