This is a group of TI-85 programs working together to 
calculate various Riemann sums and numerical integrations 
with graphs.




This is a group of TI-85 programs working together to 
calculate various riemann sums and numerical integrations 
with graphical illustrations for each methods.  Two features 
that make this programs a useful tool in classroom teaching 
are:
    1.  Menu driven, which makes it easy to use.
    2.  Graphical illustrations are used for each methods, 
giving students intuitive feelings about those concepts.

The following is a list of programs in this group and their 
functions.  You need to uudecode and then ungroup it before 
download them to your TI-85.

The function y(x) = x*sin(x) from 0 to 2Pi is suggested as
an example to try this program.

The author Dr. Zhanbo Yang, invites comments about the 
programming of these programs, and their use in classrooms.  
He can be reached at zyang@shawnee.edu.  The author reserves
all other right.


RIEMANN:        The main driver program. It sets up the 
enviroument and then drives various subprograms.

SUBHEAD:        A suvprogram that input the function and 
other primeters, place the function at y99 and then set up 
the best drawing windows.

SUBRA:          A subprogram that allows the user to input 
an arbitrary partition, input choice of points from graph 
for the rectangles, draws the ractangles and then calculates
the total sum.

SUBRR:          A subprogram that calculates the left-point
sum, midpoin sum, the right-point sum, the inscribed sum and
the circumscribed sum with regular partitions.  The user can 
choose each methods from a menu and do them repeatly.

SUBNI:          A subprogram that drives two other 
subprograms to calculate the numerical integration using
Trapezoidal method and Simpson's method.

SUBTRAPE:       A subprogram used by SUBNI to calculate the 
Trapezoidal method with a polygon illustration (segments).

SUBSIMPS:       A subprogram used by SUBNI to calculate the 
Simpson's method with a parabola illustration (dots).

SUBSOLV:        A subprogram used by SUBSIMPS to solve 
respective linear equation systems to get the perimeters 
for the parabola.
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