MATH 406: Problem Set 12 due Friday, April 22, 2005 (Revised version)
1. Find the roots of the following polynomials; show your work, recommended not to use a calculator! a) z 2 + (2i - 7)z - 14i 2. Fisher 4.2.1 3. Fisher 4.2.2 4. Find the electrost
MATH 406: Problem Set 13 due Wednesday, April 27, 2005
1. (a) Without using any facts about electromagnetism (except that the electrostatic potential is harmonic), guess the functional dependence of the potentional for a purely radial electric fiel
MATH 406: Problem Set 11 due Friday, April 15, 2005
1. (F 2.6.18) Compute the following integral, using the change of variables x = et to move the lower limit (and the singularity) to -:
0
(ln x)2 dx x2 + 1
2. Compute the following integral:
0
MATH 406: Advanced Calculus for Engineers / Scientists II - Applied Complex Analysis Penn State University Spring Semester 2005
"As early as the 16th century mathematicians were compelled to introduce expressions for square roots of negative numbers