HW#1
EGM6341
Spring 2009
Note:
i)
This set of HW comes from diverse aspects in calculus and math analyses.
ii)
It is intended to serve as a review and to bring you up to speed in
mathematical analysis.
Series expansion in various forms and acceleration of
series are extremely useful tools both analytically and computationally.
iii)
I suggest that you first read over a dozen examples that I provide in the
Supplemental Reading Material (Chapter One) –they serve to bridge the gap
between your previous calculus background and the class discussions/
homework problems.
iv)
If you still have difficulty to solve some problems in HW#1 after reading and
understanding the examples in
Supplemental Reading Material
, let me know
via phone call (if you are an EDGE student), visit to my office, or emails.
Due:
1/15/08 (tentative schedule)
Assignments
:
From the textbook by Atkinson: pp.43-50:
#1a
Assume ƒ(x) is continuous on a ≤ x ≤ b, and consider the average
∑
=
=
n
j
j
x
f
n
S
1
)
(
1
with all points x
j
in the interval [a, b]. Show that
)
(
ζ
f
S
=
for some ζ in [a, b].
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- Spring '09
- MEI
- Taylor Series, Euler's formula, Taylor's theorem
-
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