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.4350:
#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].
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '09
 MEI
 Taylor Series, Euler's formula, Taylor's theorem

Click to edit the document details