NINTDUBL.82p

A program to see how doubling the number of subintervals effects

the result of taking a Reimann summ with the various sum rules.







The program NINTDUBL lets the student see the effect of

repeatedly doubling the number of subintervals on various ways

of taking Riemann sums.



The user is prompted for a function,

the limits of integration, the initial number of subintervals,

the number of times the number of subintervals is to be doubled,

and the Reimann sum rule to be used.  The program then gives the

value obtained by the calculator's numeric integration function,

(which uses  the Gauss-Kronrod method) and the values given by the

Reimann sum  with the given number of subintervals.

The user has the option of repeating the process, changing

the sum rule, the initial number of subintervals and the number of doublings,

or the limits of integration.



Loops are inserted for the user to change thesummation rule, the number

of subintervals, or the limits of integration, or the function.



When running the program, the user is reminded that on the TI-82,

inputing a function through a program requires that the function

start with a double quote mark.



The program uses the variables

A, B, C, E, F, G, H, I, J, K, L, M, N, Q, R, S, T, U, V, and Z

and thus changes the values of those memory locations.

The function is stored in Y0.



This program was written by

Mike May, S.J. from the department of Mathematics and Computer

Science at Saint Louis University.  Send comments to:

maymk@sluaxa.slu.edu



The most current copy is kept on a web page devoted

to courseware kept at

http://euler.slu.edu