UNIVERSITY OF NOTRE DAME
Department of Civil Engineering
and Geological Sciences
CE 30125 Computational Methods
December 4, 2008
J.J. Westerink
Test 2
NAME ___________________________________________________________
This exam is being conducted under the HONOR CODE. Please sign your exam to indicate that you agree and
have adhered to all the stipulations of the honor code.
Signed
____________________________________________________________
Notes:
1.)
Please highlight your answers with a box.
2.)
Clearly show your steps!
3.)
Taylor series:
4.) The last two sheets of the exam contain differentiation formulas that may help you to solve certain
problems.
f x
f a
x
a
–
df
dx
-----
x
a
=
x
a
–
2
2!
------------------
d
2
f
dx
2
-------
x
a
=
+
+
=
x
a
–
3
3!
------------------
d
3
f
dx
3
-------
x
a
=
1
4!
----
x
a
–
4
d
4
f
dx
------
x
=
+
+
a
x

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