MATHCAD
TUTOR
Part 5: Symbolic
Calculations
One of MathCad's best features is the easy way in
which it handles symbolic calculations.
For example, define the functions f and g given by f(x) = 3x2-5x + 1
and g(x)=x2 + 2x.
To tell MathCad that you want to perform a symbolic calculation, use the "live symbolic" operator -- which you can think of as the "symbolic equals" sign.
You may use the arrow on the Symbolic tool bar or hold down the control key
and press the period key.
Type
You will see
f(x) + g(x) ->4x2 - 3x + 1
MathCad has added the two functions and displayed the result.
MathCad can also do other operations such as factor a polynomial. To do this we can use the symbolics menu on the
tool bar.
- Type the expression
- Now highlight the expression, and pick factor
from the symbolic menu. You will see
appear below the initial expression.
The disadvantage with calculating in thismanner is that MathCad factors and displays the answer. Going back and changing the first expression will not
change the output. To have the answer continuously linked to the
output, you must use the symbolic key word factor along with the symbolic
equals sign.
-
Type the expression
x2 - 9 <control> . factor
You will see
x2 - 9 factor-> (x - 3)(x + 3)
Now, if you change the 9 to 4, the calculation will change. Another way to so the same thing is to use the symbolics pallet.
Expressions may be expanded
or simplified in a similar manner.
- MathCad can also solve equations. To solve
equations you will need to use still another version of the equals sign:
- Type
x2 - 9 <control> .solve ,x
- You will see
There are a variety of other symbolic operations that MathCad can
do; they will be covered as they are needed in the modules.
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