HOMEWORK #1
Due 01-16-09 Physics 132 Winter 2009 P. Kraus Hand into box marked 132 outside 1-707D PAB by 3pm Fri.
1) BC p. 5 (1a) and (1b). Verify: a) ( 2 i) i(1 2i) = 2i ;
b) (2, 3)(2, 1) = (1, 8)
2) Write each of the following complex numbers in the fo
HOMEWORK #2
Due 01-23-09 Physics 132 Winter 2009 P. Kraus Hand into box marked 132 outside 1-707D PAB by 3pm Fri.
1) We can write a function f (z ) in the form f (z ) = u(x, y ) + iv (x, y ) where z = x + iy . Work out u(x, y ) and v (x, y ) for the foll
HOMEWORK #3
Due 01-30-09 Physics 132 Winter 2009 P. Kraus Hand into box marked 132 outside 1-707D PAB by 3pm Fri.
d f (z ) dz d f (z ) dz
1) For the following functions state where (if anywhere) when it exists. a) f (z ) = 3z 4 + 2z ; b) f (z ) = 1 ; z2
HOMEWORK #4
Physics 132 Due 02-06-09 Winter 2009 P. Kraus Hand into box marked 132 outside 1-707D PAB by 3pm Fri. 1) BC p. 97 problem 5: Show that a) the set of values of log(i1/2 ) is 1 (n + )i 4 and the same is true of (1/2) log i. (n = 0, 1, 2, . . .)
HOMEWORK #5
Due 02-20-09 Physics 132 Winter 2009 P. Kraus Material covered: sections 40-52. We are skipping section 43 and 47 Hand into box marked 132 outside 1-707D PAB by 3pm Fri. Key points: The integrals in this problem set involving integrating aroun
HOMEWORK #6
Physics 132 Due 02-27-09 Winter 2009 P. Kraus covered: sections 55-57, 59, 60, 62, 68-70. Material Hand into box marked 132 outside 1-707D PAB by 3pm Fri.
1 Check the convergence of the Taylor series 1z = z n . Dene the partial sum SN = n=0 N
HOMEWORK #7
Physics 132 Winter 2009 P. Kraus Due 03-09-09
Hand into box marked 132 outside 1-707D PAB by noon Mon. 1) BC p. 239 problem 4: Let C denote the circle. 2) BC p. 240 problem 6: Let the degrees of the polynomials. 3) BC p. 243 problem 2: Show th
HOMEWORK #7
Physics 132 Winter 2009 P. Kraus Due 03-13-09
Hand into box marked 132 outside 1-707D PAB by noon Fri. 1) BC p. 267 problems 1,3, 5: Use residues to evaluate the following integrals
0
dx , 2+1 x
0
dx , 4+1 x
0
x2 dx (x2 + 9)(x2 + 4)2
Ans: