Math 352 Section 1 Midterm Exam 3 Solutions
Students were asked to answer only 9 of the 10 questions.
1. Let f (z ) = Log(z ) be the principal logarithm. Determine the Taylor series for f (z ) in the
region |z 2i| < 2.
Solution.
f (2i) = ln |2i| + i Arg(2
Math 352 Section 2 Midterm Exam 2 Solutions
P
1. Let R(z ) = Q(z) be a rational function with deg P < deg Q. If z0 is a pole of R(z ), then the
(z )
1
coecient of zz0 in the partial fraction decomposition of R(z ) is called the residue of R(z )
at z0 and
Math 352 Section 1 Midterm Exam 2
P
1. Let R(z ) = Q(z) be a rational function with deg P < deg Q. If z0 is a pole of R(z ), then the
(z )
1
coecient of zz0 in the partial fraction decomposition of R(z ) is called the residue of R(z )
at z0 and is denoted
NAME
Student Number
Math 332 Section 1 Midterm Exam 2
Thursday, March 15 through Monday, March 19 Testing Center
Professor: David Cardon, 302 TMCB, Campus Ext. 2-4863
Instructions:
There are 10 questions for a total of 100 points. Each is worth 10 points
Math 332 Section 1 Midterm Exam 2 Solutions
1. Find a function (x, y ) that is harmonic in the upper half plane and that satises the boundary
conditions
if < x < 1,
if 1 < x < 2,
if 2 < x < .
(x, 0) = 0
(x, 0) =
(x, 0) = 0
These conditions are sketched i
Math 352 Section 1 Winter 2012 Midterm Exam 1 Solutions
1. (a) Write (1 3)8 in polar form.
Solution of printed question. Since (1 3)8 is a positive real number, its already in
polar form!
Solution
8 of intended question. The number was intended to have b
NAME
Student Number
Math 332 Section 1 Midterm Exam 1
Thursday, February 8 through Monday, February 12 Testing Center
Professor: David Cardon, 302 TMCB, Campus Ext. 2-4863
Instructions:
There are 10 questions for a total of 100 points. Each is worth 10 p
Math 352 Winter 2013 Midterm 2 Review Sheet
1. Midterm 2 is in the Testing Center Tue, Mar 5 through Thu, Mar 7.
2. The exam will have questions based on material in sections 3.1-3.5, 4.1-4.4.
3. There is not time limit, but give yourself enough time when
Math 352 Winter 2013 Midterm 1 Review Sheet
1. Midterm 1 is in the Testing Center on Tue, Feb 5 and Wed, Feb 6.
2. The exam will have questions based on material in sections 1.1-1.6 and 2.1-2.5 of the text.
3. There is no time limit.
4. Books, notes, or c