NEWTONSM v1.5
"Newton's Method"
by Dmitriy Myedvyedyev (aka Dima Medvedev)
medvedbr@hotmail.com
Category: MATH/CALCULUS
Starting - Completion Date: 11-22-2001 - 11-22-2001, one day (for this version only)



-------------Description:
This is a Calculus program that does the Newton's method approximation for you. 



-------------Instructions:
You enter a function and your first guess, X0. The program finds the values of X1 and f(X1) and returns them to you. It keeps doing that for x2, x3, x4, and x5. It stops automatically once the value of f(Xn) is between -0.0001 and 0.0001 (so that it has at least three zeros after the decimal). That is considered to be an accurate approximation, so you don't need the rest of the values. 
Outputs come in pairs:
X1 and f(X1)
X2 and f(X2)
and so on up to X5



-------------Update(s):
This version includes a small fix. It deltes the Y0 system variable, which is used in the program. Previous version left it alone, so when you graphed somethging, you also saw the graph of a function you don't need.



-------------Known Bugs and Important Notes:
If your guess is too far away from an actual zero of a function, then you won't get the results you are lookig for, since it only does the method for up to 5 times. I need to figure out how loops work in TI-83. If you know how, please e-mail me. I will probably try to use X+1-->X loop for the next version of the program. That way, it will do the method as many times as you want until you get an accurate value of X.



-------------Thanks!
Thank you for downloading this program by Dmitriy Myedvyedyev. Please send your comments and/or suggestions to medvedbr@hotmail.com



-------------People to Remember:
Isaac Newton, Blaise Pascal, Euklid, Dmitriy Mendeleyev (yeah, yeah, that's not how it's spelled in English, but this is correct), Alessandra Volta, Thomas Edison,  SB, SH, AM, FB...  
             to be continued...