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CURVE!
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1993-11-04
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CURVE, the ultimative mathmatical programm. © 1993 by Tim Schumacher
---------------------------------------------------------------------------
Table of contents
Preface ........................ 1
SHAREWARE !..................... 1
Introduction ................... 2
Author expressions ............. 3
Work with functions ............ 4
Extremes
Zeropoints
Turning points
Symmetries
Function tables
Derivations
Tangents/Slopes
Intersections
Integral calculus .............. 5
Planimetry .................... 6
Printing/Saving/Loading ........ 7
Preferences & Installation ..... 8
accuracy, printing, koordinates,
output medium, number of fuctions,
clean up
* * *
CURVE, © 1993 by Tim Schumacher
Schönbergstr. 5, 79299 Wittnau
Germany (Europe)
All rights reserved
Program is shareware
Feel free to spread this programm, take it on your
own PD, but always copy this file with it !!!
1... Preface
Dear User,
you've gotten quite a good Analysis program for your Amiga.
Congratulations! You'll see how many options CURVE! offers
you. Just try them all. And, if you like CURVE!, don't forget
to pay your Share (10 $ or 10 £) to me for a full version
(without tease-requester).
Tim Schumacher
WARNING: CURVE is shareware. If you use this program, send 10 $
or 10 £ for a full version to the following adress:
Tim Schumacher
Schönbergstr. 5
79299 Wittnau
Germany
2... Introduction
CURVE! is very complex. To work with CURVE!, you must always
use it in the following way:
* Author an expression
* Do something with the function (graphing, extremes, symmetry,...)
* Klick on "Function No. 1"
* Author another expression
...
3... Author expressions
CURVE! is not that complicated to use, but authoring expressions
might be a little difficult the first time. That`s how to do it:
First distinguish between...
2
* Rational functions (e.g. x - 5x + 2)
* Trigonometric functions (e.g. 2 COS 2x + 1)
2
* broken functions , e.g. x - 2
-----
x + 5
Now in detail:
* To author an rational function, please klick on "Author expression"
and then on "Rational functions". That's what you see then:
6 5 4 3 2
x x x x x x
Now just put numbers before the x-terms. If you
e.g. want to enter
5 3
x - 3x - 1x , you ...
6
klick RETURN (because you don't need the x . Then you enter a
1, then RETURN, then -3, then RETURN, then -1 and then RETURN
`enter' means: klick sign (+-), then number ( 1 2 0.5 1/2 )
then enter
Trigonometric functions
(sinusfunctions),
* Klick on "Author expression" and then on "trigonometric function"
* Now you see some kind of term that look like that:
a SIN b ( x + c ) + d
Now just replace variabels.
* try SIN, COS, TAN, COT (the ladder ones can be entered, but
not derived in CURVE!)
`Broken' funktions
can be entered like rational ones.
Everywhere: you can use numbers like 1/2, -3/4, PI, 2PI,...
4... Work with functions
Ones you have entered functions, you can do something with `em.
Zeropoints:
Just klick on "zeropoints" and wait....
Extremes and turning points:
like zeropoints
Derivations/Anti-Derivations:
Just klick on derivations and you'll see the first three ones.
Symmetries:
Just klick it and CURVE! will tell you if there are any "simple"
symmetries.
Function table:
Gives you y's to some x's.
Slopes:
Enter the x and you'll get the y and the slope of the tangent thert.
Intersections:
To find intersections: Enter the two functions (e.g. No. 1 and 2)
select "Intersections", klick OK. It will take some time. You
should select "Very exact" in the Preferences, otherwise CURVE!
might not find every intersection !
5... Integral calculus
It's quite easy. Just enter one or two functions and either
calculate the integral between the function and the x-axis or
the integral between the two functions.
* Klick "Integral calculus" and then e.g. f(x) & g(x).
Then select the two functions (e.g. 1 and 3), then
enter the two x-coordinates.
By the way, CURVE! can not perform intergral calculus with
broken, TAN or COT functions. Sorry.
6...Planimetry
Just use the integral calculus to do planimetry. But be careful
with negative areas (you might need to cut areas into two pieces).
7... Printing/Saving/Loading
* Print functions: use preferences to select grey or color,
load with you workbench or harddisk (best: activate
TurboPrint), switch printer ON-Line, feed paper, then
select "Menu", then "Print".
* Loading: Select "Menu", then "Load", choose name of
the file, klick OK.
* Saving: Select "Menu", then "Save", choose name of the
file or enter a new one, then klick OK.
8... Preferences & Installation
Klick "Preferences" and choose what you want:
* Range of the system of co-ordinates. Klick Gadget,
then enter number from 1 to 9.
* Accuracy. Klick the gadget to choose.
* Number of functions: Klick gadget to increase number.
* Choose, if everything should be printed on Monitor or
Printer.
* If you have a color printer, klick on "Grey" to change
and vice versa.
* With "Clean `em all" you clean up the system of co-ordinates.
Installation:
To get the perfect printer-device, install CURVE! on your
harddisk or workbench. Just move the icon over. CURVE! does
not need any external libraries.
AND LAST, BUT NOT LEAST:
If you decide to use Curve, I really beg you to pay the share.
I have invested uncouted hours of (night-) work in order to
make CURVE! as good as it is now !
* * * P L E A S E P A Y T H E S H A R E ! ! ! * * *