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Math 325

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Spring, 2001

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{\bf ASSIGNMENT 8, due Friday, April 6}
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Read Boyce and DiPrima, Sections 10.2-10.4

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Do
p.\ 555 \#1,6,9,14,20,22,27,28,
  p.\ 562 \#4,8,18,
 p.\ 570 \#17,18,21,22,35,36.
\emph{Hint}: Problems 35 and 36 on page 570 should be in section 10.3.

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Also, for p. 556 \#14 (taking $L=1$) use Maple or Matlab to
plot the function and the $N$th
partial sum of the Fourier series for  $N=2,5,10,20,50\/$.
 Where does the series converge to the
function?  What does it converge to where it does not converge to the
function?

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Find the Fourier series of $f(x)=\sin^2(x), \ -\pi\le x \le \pi$.

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Also,
on p.\ 570 \#17,18 and \#21,22 (with $L=\pi$)
 use Maple or Matlab to
plot the function and the
partial sums of the Fourier series for  $m\le N\/$
where  $N=2,5,10,20\/$.  Compare the corresponding plots.
 

 

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