AOE/ESM 2074 - E.M. Cliff 1
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Top Down Design
or
Structured Programming
➤State the Problem
➤Enumerate input(s) and
output(s)
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Top-Down Design & Structured Programming: Summing Maclaurin Series for exp(x) with MATLAB , Study notes of Engineering
The process of designing and implementing a program to sum the maclaurin series for the exponential function exp(x) using matlab. The problem is stated, inputs and outputs are enumerated, and the algorithm is designed and refined. The document also includes a pseudo code representation of the program.
Typology: Study notes
Pre 2010
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Top Down Design
or
Structured Programming
State the Problem
output(s)Enumerate input(s) and
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refined)Design the Algorithm (this is
Convert to
Matlab
Test code components
Assemble and test
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The Maclaurin series for
exp(
x )
is exp(
x ) = 1 +
(^) x (^) +
x 2
x n
n !
(^)...
Let’s designate
term
0 = 1
term
1
x , and so on
Note that
term
k
term
k − 1 k x
When
term
k < tol
stop the sum
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The
relative terror
is
rel
sum
(^) exp(
x ) |
exp(
x )
of terms and the relative errorPrint out the sum,the number
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tol continue, if next term exceeds
compute relative error
print information to the screen