Cmplxmap.92g Version 1.2
Written for the TI-92 by Bhuvanesh Bhatt
Version 1.2
Updated on Jan. 15th, 1999.
This package consists of two programs:
· CartMap(_f(z)_,_xrange_,_yrange_) plots a map of the
cartesian identity map z=x+I*y, where I=sqrt(-1),
into the function f(z) [the _ around f(z) etc. above
denotes that you should not enter them literally --
enter evaluatable functions like sin(z)].
Enter xrange and yrange as lists:
{xstart,xend,dx} and {ystart,yend,dy}
You can also use {xstart,xend} -- this will use the
default value for dx. If you use {anynumber} as input
for xrange, the program will assume the default
values for xstart, xend, and dx. These options apply
to yrange as well.
e.g. Try CartMap(sin(z),{-pi/2,pi/2,pi/28},{-1,1,1/10})
where pi should be replaced by its TI-92 represen-
tation.
· PolarMap(_f(z)_,_rrange_,_thetarange_) plots a map of
the polar identity map z=r*Exp(I*theta), where I is
again the square root of -1, into the function f(z).
Enter rrange and thetarange as lists similar to
xrange and yrange in CartMap(). The options (above)
work for rrange and thetarange as well.
e.g. Try PolarMap(sin(z),{0,2},{-pi,pi})
Notes: Express f(z) in terms of z only (no other
undefined variables). Also, each of the two
programs takes about 5 minutes to run. I don't
know whether the package is compatible with the
TI-92 Plus. I hope you enjoy using the package!
Copyright: Please do not remove/modify the copyright
notices in the programs. You may distribute
these programs in an unmodified form provided
this documentation is distributed with it.
Thanks for using the package.
The idea for these programs came from the Mathematica
book by Stephen Wolfram, although the algorithm was
developed entirely by myself.
If you can optimize the programs for speed, please let
me know. Any suggestions/comments/questions can be
e-mailed to me at bbhatt1@towson.edu
Bhuvanesh Bhatt.