RSUMCOM.82p

A program to compare the various ways of doing Reimann sums.

Accuracy is checked against the numeric integration function.





RSUMSCOM is a program

to compare various ways of doing Riemann Sums.

For a fixed n, The program gives the sum

using the right-hand, left hand, trapezoid,

and midpoint rules, Simpson's rules,

and the calculator's numeric integral.



The user is prompted for a function, the limits of integration,

and the number of subdivisions.  The 6 values are then computed

and presented on a single screen where they can be compared.

This allows comparison of the effectiveness of the various methods.



Loops are inserted for the user to change 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, H, I, J, L, M, N, Q, R, S, T, U, 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