Calculus Unlimited
Design: Michal Yerushalmy,
Judah Schwartz.
Programming: Ron Naoman
We believe that the function (and its entailed concept, the variable) should be
the fundamental mathematical object of the algebra, pre-calculus and calculus
curriculum. The design of CALCULUS UNLIMITED as a software environment is based
on this premise. There are, to be sure, a variety of ways of representing the
function, specifically symbolically, graphically and numerically. Each of these
representations has both mathematical and pedagogical advantages and defects.
We believe that they are all important and CALCULUS UNLIMITED incorporates them
all.
Here is a picture of the screen showing the function list, into which has been
entered the functions xcos(x) and -x, the graph window in which the graphs of
the functions appear and a part of a values table showing values of the
functions.
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In all likelihood this is the arrangement of windows that you will
use until you get more familiar with the software and its capabilities. What
can you enter into the software?
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You can enter functions of one variable and see both a graph of the function
and a table of values for the function. Your function list, graph window and
values table can contain up to 30 different functions.
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The domain of the functions you enter need not be the entire real line.
Functions may be defined on segments of the real line. Up to three segments are
permitted.
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You can toggle ON and OFF the graph of any of the functions on your function
list. You can also toggle ON and OFF the listing of values for any of the
functions on the function list.
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You can enter not only functions defined on numbers on the real line, but also
procedures, or functions on functions. For example, you can enter the procedure
F2 + G2 and explore what this procedure generates when it acts on different
pairs of functions F and G, or enter the procedure F' + F and look for all the
functions F that cause this procedure to generate a constant function.
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You can enter comparisons of functions, i.e., equations, inequalities and
identities. A comparison of functions is displayed graphically by the graphs of
the functions on either side of the comparison sign. For example, in the
equation
3 - x = 7 + 2x
The function 3 - x and the function 7 + 2x are both plotted. The abscissa of
the point of intersection of the two graphs is the solution set of the
equation. The solution sets of equations, inequalities and identities are
indicated in a small window directly beneath the main graph window.
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Each of the functions that you enter on either side of a comparison may be
defined on as many as three regions of the real line.
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You can enter comparisons of functions on functions. For example, you can enter
simple differential equations, such as F' = 2x and look for all of the
functions that satisfy this equation, or more complicated ones such as F" + F'
+ F = cos(bx) and explore the effect of initial conditions and the relation
between the particular and general solutions to the equation.
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Calculus Unlimited
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MoveOn
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The Function Sketcher
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Escalator
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The Geometric Supposer
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Math Bundle (5 for the price of 4)
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Single Copy
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$50
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30$
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30$
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30$
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$60
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$150
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Network Version for 5
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$200
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120$
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120$
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$120
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$240
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$600
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Network Version for 15
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$450
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$270
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$270
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$270
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$540
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$1,350
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Network Version for 25
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$600
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$360
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$360
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$360
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$720
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$1,800
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shipping rates: 5$ up to weight of 100 grams.
All the products are available in PC Win CD-ROM and Network formats.
Ordering Information
Fax Orders: Please send us by fax your name, address, your credit card, its
number and expiration date and the name of the school.
Fax number: 972-3-646-0872
For more information please call 972-3-646-0177 or send an e-mail:
lilach_r@cet.ac.il
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