As noted above, please email any questions regarding use of the program to:

    bwillou@cello.gina.calstate.edu



Before you use the program for the first time, you must store something (a 

number or a string) as ST.



On the Home screen enter:   "x"->ST



Once you have done this, you may startup the program itself.  



Following is an in depth guide to using Curves 4.0.  If you don't read manuals, 

skip to the ALL CAPS section at the end.



You will see the following screen when you first use the program:



---------------------

CURVE EXPLORATIONS:

VERSION 4.0



BY: BRAD WILLOUGHBY



OLD f=x



NEWf     OLDf     QUIT

---------------------



The "OLDf" is the function you last worked with (the one we entered on the 

Home screen).  If you wish to work with this function you can press "OLDf". . . 

for now, press "NEWf" and you will see the next screen:



---------------------

ENTER CURVE EQUATION

IN TERMS OF x

?







---------------------



Like it says, you must use the small "x" variable to do anything with this 

program.  Enter the equation "x^3 - 1."  You will see the next screen.



---------------------

ENTER BOUNDS

xMin=?







---------------------



Enter -1 as the xMin



---------------------

ENTER BOUNDS

xMin=?-1

xMax=?





---------------------



Enter 4 as the xMax.  You will see the next screen:



---------------------









APROX   fnInt   ARC   OTHER   QUIT

---------------------



Below is a description of the menus.

    APROX:

        Uses many different methods of approximating the integral.  Accuracy 

depends on the number of intervals you use.

    fnInt:

        Calculates the integral with the built in fnInt function.  Accuracy 

depends of the values in your TOLER menu.

    ARC:

        Calculates the length of the arc of the curve between the specified 

bounds using the built in arc function.

    OTHER:

        Includes things such as Graph, starting over, the fnInt error, and 

quit.

    QUIT:

        Exits the program and clears the screen.



Press APROX and you will see the following prompt:



---------------------

ENTER # OF INTERVALS

?





---------------------



Enter 5.  This determines both how long it takes and how accurate it is.



---------------------



WORKING



TIME <1 SECOND



---------------------



This is a rough estimate of how long it will take to complete the 

aproximation.  



---------------------







RAM   TRAP   SIMP   GRAPH   BACK

---------------------



Press RAM to see the rectangle approximations.



---------------------

LRAM=30



RRAM=95



MRAM=56.875

---------------------



Press TRAP to see the trapezoid approximations.



---------------------

TRAPEZOID RULE=

                125/2





---------------------



Press SIMP to see the Simpson's approximations.



---------------------

SIMPSON'S RULE=

                 235/4





---------------------



Press BACK to return to the main menu.  Then press fnInt to see the 

calculator's values.  After a few seconds, you will see:



---------------------

ACTUAL AREA=

            235/4

TOTAL AREA=

            62.7500045102



AVERAGE VALUE=

             47/4

---------------------



Press ARC to see the calculator's value for the length of the arc.  After a 

few seconds, you will see:



---------------------

ARC LENGTH=

       66.2198335681





---------------------



If you go back now and press any of the above functions, they will take no 

time at all.  The program works in such a way that once you've calculated the 

values, they are stored and not calculated again until you start the program 

over.



Press OTHER and the press ERROR



---------------------

INTEGRATION ERROR

        -1.60147323 E -6





---------------------



This is how much the calculator could be off in finding the integral using the 

fnInt function.



If you need any other help with the program, don't hesitate to e-mail me.  

Otherwise enjoy it and give it to all your friends.





Note:  ANY _ CHARACTERS BELOW ARE THE TI'S "STO" KEY.  IF YOU HAVE THE TI FONT 

ON YOUR SYSTEM DISPLAY THE BELOW TEXT WITH THAT FONT AND YOU'LL GET ALL THE 

CORRECT CHARACTERS.  OTHERWISE, THE BOXES SHOULD LOOK SOMETHING LIKE ->.  IN 

THE CASE OF _Frac, THAT IS THE >Frac KEY.