Math 4150/6150 Assignment 8
and
Practice Exam 3
* indicates Math 6150 questions
Due date: Thursday 14th of November 2013
1. Let C be the circle of radius 3 centered at the origin and oriented positive
Math 4150/6150
Fall 2013
Exam 2
No calculators. Show your work. Give full explanations. Good luck!
1. (15 points) Let C denote the straight line segment joining the points z = i and z = 2 in the
compl
Math 4150/6150
Fall 2013
Exam 3
No calculators. Show your work. Give full explanations. Good luck!
1. (15 points) Let C denote the circle of radius 2 centered at the origin with positive orientation.
Math 4150/6150
Fall 2013
Practice Exam 2
* indicates Math 6150 questions
1. Evaluate
z 2 dz
and
Re(z ) dz
C
C
for the following curves C :
(a) C (t) = 2eit , /2 t /2
(b) C (t) = t + it2 , 0 t 1.
(feel
Math 4150/6150
Fall 2013
Practice Exam 1
* indicates Math 6150 questions
Examinable Sections from Churchill and Brown
1-11, 12-15, 16* & 18*, 19-21, Statement of Theorem in 22, 24-25, 29-33
|2 + i |
a
Math 4150/6150
Fall 2013
Exam 1
No calculators. Show your work. Give full explanations. Good luck!
1. (30 points) Express each of the following in the form x + iy , with x, y R:
|3 i|
2+i
(b) (1 + i)8
Math 4150 / 6150
Fall 2011
Review of Innite Series from 3100
just the basics - no powers series, Taylors theorem, or uniform convergence
1. Important infinite series
n
n=1 r
Geometric series:
converge
Math 4150/6150
Fall 2012
Exam 3
No calculators. Show your work. Give full explanations. Good luck!
1. (15 points) In each case, write down the principle part of the function
at its isolated singular p
Math 4150/6150
Fall 2012
Exam 2
No calculators. Show your work. Give full explanations. Good luck!
1. (30 points) Dierentiate the following functions, giving an appropriate
region on which the functio
Math 4150/6150
Fall 2012
Exam 1
No calculators. Show your work. Give full explanations. Good luck!
1. (15 points)
|2 + i|
and ( 3 + i)4 in the form x + iy , with x, y R.
3 + 4i
(b) Find all values of
Math 4150/6150: Bonus Problems Spring 2011 Instructor: Dr. Shuzhou Wang Each problem is worth an extra 1% of the course. Note: If you turn in solutions of these problems for credit, you must work inde