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Fifth Computing Project \\
Math/CS 375, Fall 1997 \\
Professor Coutsias \\
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This project is due Dec 2. Plan your work
so that if your computer is down a short period, your project will not be late.
This project will count as part of your grade so you must work independently.
It is permissible to discuss the project with your instructor, fellow students,
and friends. However, the computer programs and report must be done only
by the student doing the project.

The project is to use the textbook's adaptive integration routine, adapt.
If necessary, modify it so that the number of function evaluations is
printed. 
\begin{description}
\item[i.] Use Adapt on all the integrands in Exercise 5.4, but with
${\rm RELERR}=10^{-2},10^{-4},10^{-6},10^{-8}$. Comment on the questions
in 5.4, and on the behavior of the number of function evaluations as
RELERR is changed.
\item[ii.] Solve Exercise 5.6.
\item[iii.] With ${\rm RELERR}=10^{-6}$ and ${\rm ABSERR}=10^{-10}$ compute
\begin{displaymath}
\int_a^b e^{-x^2} dx ,
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for $(a,b)=(-5,5),(-10,10),(-20,20),(-50,2000)$. Comment on the results.
Explain any unexpected behavior.
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Grading will be $50\%$ for (i.), $25\%$ for (ii.) and $25\%$ for (iii.).

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