Math 464: Midterm Exam #1
Prof. Doron Levy
March 10, 2015
Solve all 4 problems.
1. (25 points) Find the Fourier transform of
(a) (15 points)
1
x+i
f (x) =
(b) (10 points)
Z
f (x) =
4
e2isxs ds
2. (25 points) Use Parsevals identity to compute
Z
sin(2x)
x
3

Math 464: HW #1
Due: Tuesday 2/3/15 (Submit by email to grader)
Many of the homework problems in this problem set are taken from Brown & Churchill,
Complex Variables and Applications
1. The LaTex problem on the webpage.
2. In each case, sketch the set of

Math 464: HW #4
Due: Tuesday 2/24/15 (Email your work directly to the grader).
You may email it by Thursday 2/26 to the grader if you need more time
The solution to at least one problem should be typed with latex.
1. Problem 3.9 even (b,d,.)
2. Problem 3.

Math 464: HW #2
Due: Tuesday 2/10/15 (Email your work directly to the grader)
The solution to at least one problem should be typed with latex.
1. Problem 1.1
2. Problem 1.2
3. Problem 1.3
4. Problem 1.4
5. Problem 1.5
6. Problem 1.6
7. Problem 1.7
8. Prob

Math 464: HW #5
Due: Tuesday 3/3/15 (Email your work directly to the grader).
The solution to at least one problem should be typed with latex.
1. Problem 3.15
2. Problem 3.22 even (b,d,.)
3. Problem 3.28 a,b,d
4. Problem 4.2
5. Problem 4.3

Math 464: HW #6
Due: Tuesday 3/10/15 (Email your work directly to the grader).
The solution to at least one problem should be typed with latex.
1. Problem 3.27
2. Problem 4.5 a,b,c
3. Problem 4.9 a,b,c
4. Problem 4.11 a,b,c
5. Problem 4.13

Math 464: HW #7
Due: Thursday 4/2/15 (Email your work directly to the grader).
The solution to at least one problem should be typed with latex.
1. Problem 7.7 a-h
2. Problem 7.8 a-i

Math 464: HW #8
Due: Thursday 4/9/15 (Email your work directly to the grader).
The solution to at least one problem should be typed with latex.
1. Problem 7.14
2. Problem 7.15
3. Problem 7.33 odd
4. Problem 7.40 a-d

Math 464: HW #9
Due: Tuesday 5/5/15 (Email your work directly to the grader).
The solution to at least one problem should be typed with latex.
1. Problem 9.3 a,c,d
2. Problem 9.6
3. Problem 9.13
4. Problem 9.21
5. Problem 9.29 a,b

Math 464: HW #10
Due: Tuesday 5/12/15 (Email your work directly to the grader).
The solution to at least one problem should be typed with latex.
1. Problem 1.27 a
2. Problem 4.10 a-g
3. Problem 7.36 odd
4. Problem 9.27 a,b,e

Math 464: HW #3
Due: Tuesday 2/17/15 (Email your work directly to the grader)
The solution to at least one problem should be typed with latex.
1. Problem 2.1 a,d,f
2. Problem 2.2 a,b,d
3. Problem 2.3 a
4. Problem 2.6
5. Problem 3.1
6. Problem 3.2 a,c,e,g