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MEEN 357 Exam 2-Solution 2009
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1
EXAM 2
MEEN 357
March 26, 2009
Dr. Bowen
Section:
502
Name:
____________________________________________
"Aggies do not lie, cheat, or steal, nor do they tolerate those who do."
Aggie Code of Honor
By my signature below I pledge that my conduct on this exam is consistent in every way
with the Aggie Code of Honor:
Signature:
____________________________________________
1.
This exam consists of
six (6)
problems that are weighted as shown below.
The last
question is take home
and requires the use of MATLAB.
You will receive this question
and appropriate instructions by Email not later than midnight
March 26, 2009.
a)
If you do not receive the take home question in your Email, notify
rbowen@tamu.edu
.
b)
The take home portion of the exam will be due by Email with a time stamp not
later than 8am, Saturday, March 28, 2009.
2.
This is a
open textbook (
Applied Numerical Methods with MATLAB, Second Edition,
by Steven C. Chapra
) open lecture note
exam.
a)
The lecture notes are those posted on Vista Blackboard.
1.
It is understood that you add incidental comments to your copies of these
notes.
b)
You may also use graded homework solutions and the solutions posted on Vista
Blackboard
c)
You may not use individual notes that you have created other than what you have
added to the pages of the posted and printed class notes.
3.
You may use
handheld calculators unless the problem dictates otherwise.
a)
You may not use other computing devices for the in-class portion of the exam.
4.
Be sure to read the question carefully.
5.
Be sure to show all work and calculations
, and organize
your solution procedure as
clearly and systematically as possible.
a)
Example:
Do not simply enter a string of numbers in your calculators and write
down the answer.
Write out the numbers in a mathematical formula and then
show the answers obtained from doing the mathematical operations on your
calculators.
6.
For the in-class portion of the exam, work problems in the space provided on the exam
sheets. Clearly indicate continuation of the problem if you need extra pages.
GRADE
Problem 1:
____
12.96
/
15% (In Class)
Problem 2:
____
13.35
/ 15% (In Class)
Problem 3:
____
12.73
/ 15% (In Class)
Problem 4:
____
13.50
/ 15% (In Class)
Problem 5:
_____
4.54
/ 15% (In Class)
Problem 6:
____
18.79
/ 25% (Take Home)
TOTAL
:
______
75.88

Spring 2009
MEEN 357 Exam 2-Solution 2009
RMB
2
1.
(15%) You are given the following system of equations.
12
3
3
3
15
3
3800
3
18
6
1200
4
12
2350
xx
x
x
x
−
−=
−+
−
=
−−
+
=
(1.1)
a.
(5%) If you were to attempt to solve this system by the Gauss-Seidel
iteration method, are you assured in advance that it will converge?
Why?
Explain your answer.
b.
(10%) Give the MATLAB script sufficient to generate the solution (1.1)
by the Gauss-Seidel method such that the final percentage relative error is
less than 5%.
You must clearly print your script.
Otherwise, your results
will be considered incorrect.
You may assume you have full access to all
of the MATLAB tools we have discussed.

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