TOBB EKONOMİ VE TEKNOLOJİ ÜNİVERSİTESİ
MAK 501 ENGINEERING MATHEMATICS
FALL 2014
Due Date: 26.09.2014- Friday*
HOMEWORK 3
 x2
1. If f ( x)    x
e
x 0
, what are the even and odd parts of f ( x) ?
x0
2. For the following function, sketch the Fourier sine series of f ( x) . Also, roughly sketch
the sum of a finite number of nonzero terms (at least the first two) of the Fourier sine
series:
f ( x)  cos  x / L
3. For the given function, prepare labeled sketches of the HRC,HRS,QRC,QRS extensions,
and derive he corresponding expansions,
a) f ( x)  5x on 0<x<4
b)
f ( x)  sin x on 0<x < 
c)
f ( x)  sin x on 0<x<  / 2
0  x 1
0
4. Compute the cosine series expansion for f ( x)  
.
 x 1 1  x  2
Due date is Friday 26th of September. For each day delay 15 points will be reduced.
Technology Center, Z06(Heat Transfer Lab.) : Ali Farnoud, TOBB ETU Hidro,ZA-06: Ece Aylı.
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Homework 3 - TOBB Ekonomi ve Teknoloji Üniversitesi