hw8 - resulting complex integral as the contour expands. 3...

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

View Full Document Right Arrow Icon
MAE294B/SIO203B: Methods in Applied Mechanics Winter Quarter 2010 http://maecourses.ucsd.edu/mae294b Homework VIII Due March 4, 2010. Questions with a star have a numerical/plotting component. 1* Discuss the branch cut structure of f ( z ) = q 2 - p z 2 + 1 . You will find there are several choices. Plot the real and imaginary parts of f ( z ) using Matlab for these choices. 2 Compute Z 1 - 1 d x x 2 - 1 by considering a closed contour surrounding the branch cut and examining the behavior of the
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: resulting complex integral as the contour expands. 3 Let p ( z ) be a polynomial with only simple poles. Explain how to use the integral I 1 = Z C z p ( z ) p ( z ) d z to nd the roots of p ( z ) . [Hint: the similar integral I was discussed in class.] 4 Show that Z 2 cos + 1 cos 2 + 4 d x = 5 using contour integration. 1...
View Full Document

This note was uploaded on 03/16/2010 for the course MAE 294b taught by Professor Young,w during the Winter '08 term at UCSD.

Ask a homework question - tutors are online