Complex Analysis     MATH 305

Homework Assignment #7

Due Thursday, April 14, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the primary course text by Brown and Churchill. Unless otherwise indicated, all parts of a problem (a), (b), etc. should be completed. You are encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.

Important: Please list the names of any students or faculty who you worked with on the assignment. Also cite any references (website, other texts, etc.) that you may have used while working on this assignment.

Sections 44 - 45 (p. 149): #2, 3

Sections 46 - 49 (pp. 160 - 163): #1a, 1b, 1c, 1f, 4
Note: The point of #1 is to check that the function in question is analytic on and interior to the unit circle. Answer #1f carefully. For #4, you will need to set up your contours carefully. For instance, use z = x, -a ≤ x ≤ a to parametrize the bottom of the rectangle and z = -x + bi, -a ≤ x ≤ a for the top of the rectangle.

Sections 50 - 52 (pp. 170 - 172): #1a, 1b, 1c, 2a