MA 460/561
9/2/2011
Howell
Homework Very Much Like
the Take Home Portion of
Test I
GENERAL NOTES:
Due at the beginning of class on Wednesday, September 14, 2011
This is NOT to be a team effort.
Do your own work!
(You may, of course, consult
with the instructor.)
Combine parts A and
B
in each problem
.
Part A is to write a program and
part B is to use it.
What you hand in should consist of the complete, documented
program with the data from part B, along with the results requested in part B.
In
what you hand in, it should also be clear that the data from part B could be easily
replaced with the data you will be getting for the test.
In your programs, instead of trying to use the notation from the class and text for the
partial sums of the various Fourier series —
JÞWÞ
Ò0Ó
JÞGÞWÞ
Ò0Ó
k
k
R
R
>
>
,
, and
JÞWÞWÞ
Ò0Ó
k
R
>
— go ahead and use
,
, and
, respectively.
J Rß >
G Rß >
W Rß >
°
±
°
±
°
±
Be sure all graphs are
and
readable
appropriately labeled
.
Also make sure
that the “resolution” used in graphing is fine enough for the graph to display all
relevant details (but not so fine as to take forever to complete the graph!).
And
look at your graphs!
A major reason for these exercises is for you to see how well
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 Fall '11
 Staff
 Fourier Series, partial sums, Fourier coefficients, Ò0 Ók, ÞWÞR Ò0 Ók

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