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Physics 3221
Fall Term 2004
Final exam, December 17, 2004
•
This is an open notes test lasting 2 hours.
•
There are four problems which are divided into subsections. The points for
each subsection are marked.
•
Begin each problem on a fresh sheet of paper. Use only one side of a
sheet of paper.
•
Put your name, the problem number, and the page number in the upper
right hand corner of
each
sheet.
•
To receive partial credit you must explain what you are doing. Carefully
labeled figures are important. Randomly scrawled equations aren't helpful.
•
Try to draw a box around important results.
There are 3 pages including this page. Do not forget to look at all parts of the
problems.
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1.
Calculate the Fourier series expansion for the
periodic function shown in the
figure below i.e.
a)
Write down waveform as a function of t and the constants A and
ω
.
(5
points)
b)
Find the Fourier coefficients for this waveform.
(10 points)
2.
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 Spring '08
 CHAN
 Physics, mechanics, Fourier Series, 2 hours, Ω.

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