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Computer Assignment: Introduction to Mathematica
Purpose:
To provide a brief introduction to the
Mathematica
computing environment and to
use
Mathematica
to solve systems of linear equations.
Prerequisite Reading:
Section 1.1
Mathematica
Functions:
Clear, MatrixForm, Needs, ReplaceRow, Scale, Swap, TableForm.
Palette used in this assignment
: To use the following palette, click on the right cell bracket
containing the palette (or click anywhere inside the palette cell) and then choose
General
Palette from Selection
from the
File
menu to create a separate window containing the palette.
Drag the palette window to the far right side of the screen and resize the notebook window if
necessary so that the notebook and palette do not overlap.
L
N
M
M
f
f
f
f
\
^
]
]
f
cccc
f
f
f
±
ReplaceRow
#
f
,
f
,
f
,
f
'
Swap
#
f
,
f
,
f
'
Scale
#
f
,
f
,
f
'
ReplaceRow
#
%
²f
,
f
,
f
,
f
'
Swap
#
%
²f
,
f
,
f
'
Scale
#
%
²f
,
f
,
f
'
Mathematica
Arithmetic
Mathematica
can be thought of as a sophisticated calculator, able to perform exact as well as approxi
mate arithmetic computations. As you read through this file, you will be asked to execute the contents
of input cells (shaded cells like the one immediately below this paragraph). As a first example, you will
add the fractions appearing in the following input cell. Using your mouse, click anywhere inside the
following shaded cell and then press
Shift+Enter
to perform the calculation (simply pressing
Enter
may be sufficient to perform the calculation on some machines).
A window will appear asking if you
would like to evaluate initialization cells contained in this notebook 
click
on
Yes.
(Initializa
tion cells will be discussed at the end of this assignment.)
552291
cccccccccccccccc
67158
±
225555
cccccccccccccccc
cccc
4512874
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View Full DocumentYou may notice that
Mathematica
took a relatively long time to perform this simple calculation. This is
due to the fact that on many computer platforms, the bulk of the
Mathematica
program is not loaded into
memory until the first
Mathematica
operation is executed.
Also note that the output to our first calculation is an exact answer in rational form (i.e., the output is
expressed as the fraction of two integers).
Exercise 1
Compute
1
cccccc
31
±
5
cccccc
72
with
Mathematica
. To do this, in the open space immediately below this
cell and before the following cell entitled
Arithmetic Operations,
click the mouse button and a
horizontal line will appear marking the location of the new cell you are about to create. Next,
on the palette, click on the button containing
f
cccc
f
. Enter 1, then press
Tab
(or click on the
denominator with your mouse) and then enter 31. (Another method is to type in 1/31 from the
keyboard.) Next, press the right arrow button (
²
) on the keyboard to move the cursor to the
right of the fraction. Press the plus (+) and then enter the second fraction. Finally, press
Shift+Enter
to execute the command.
Arithmetic Operations
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 Fall '08
 Lewis
 Math, Linear Algebra, Algebra, Linear Equations, Equations, Systems Of Linear Equations, Englishlanguage films, following command, Mathematica, Bracket, assignment statement

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