Math 381
Midterm
October 24, 2013
Write your name and answer the questions below in the blue book provided.
If you use more than one, write how many blue books you used on the front.
There are three problems for a total of 40 possible points. Show your wo
Math 381
Midterm
October 24, 2013
Write your name and answer the questions below in the blue book provided.
If you use more than one, write how many blue books you used on the front.
There are three problems for a total of 40 possible points. Show your wo
MATH 381
FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ISP
FINAL FALL 2011
Please write your name on each blue-book, and the number of blue-books used, if you
use more than one. Reading time starts at 12:00pm and runs until 12:10pm. During this
period
MATH 381
FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ISP
MIDTERM SOLUTIONS AND GRADER COMMENTS
Question 1, 10pts
Let f (x) be given by
1
x < /2
f (x) = 2x/ + 2 /2 x < /2
1
/2 x
a) Represent f (x) as a Fourier series.
b) Calculate the mean square er
MATH 381
FOURIER ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ISP
MIDTERM
Please write your name on each blue-book, and the number of blue-books used, if you use
more than one. You have until 12:50. Show your work. Note that dierent problems have
dierent poin