an introduction to mathcad
DESCRIPTION
An Introduction to MathCAD. More Symbolic Maths And First Steps in Calculus. Live Symbolic Calculation. Use Symbol Toolbar. Symbolic Evaluation Operator. Evaluation with Keywords. Live Symbolic Calculation . Evaluate & Simplify by default. Evaluation with Keywords • . - PowerPoint PPT PresentationTRANSCRIPT
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An Introduction to MathCAD
More Symbolic Maths
And
First Steps in Calculus
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Live Symbolic Calculation
Use Symbol ToolbarSymbolic Evaluation Operator
Evaluation with Keywords
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Live Symbolic Calculation
<ctrl-.> Evaluate & Simplify by default
1 2 3 6
1 6 8 x 15 x
x x4 4 x( )
x 5 x 4
xcos x( )
d
dsin x( )
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Evaluation with Keywords •
Type <ctrl-shift>.
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Substitute
Uses boolean equals =<ctrl>=
x 17 substitute x y y 17
a b( ) c d( ) substitute a x b y( ) x y( ) c d( )
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Solve
– Will solve expressions or equations for variables
– If = omitted assumes =0
x 7 12 solve x 5
sin x( ) cos x( ) 0 solve x1
4
x 7 solve x 7
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The Calculus Toolbar
Accessed from View|Toolbars|Calculus
Or by clicking on integral sign on palette
Contains shortcuts for common calculus operations
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The Calculus Toolbar
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Summations
Summations and Product available
2 forms:– Existing range variable– Create new range variable
1
5
i
i
=
15
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ex defined as:
Define MyE function to give an approximation of order n
Calculating e
MyE x n( )
0
n
i
xi
i =
1 xx
2
2
x3
3
x3
4 ....
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Calculating e
n 0 8
0 2 4 6 81
1.5
2
2.5
3
MyE 1 n( )
e
n
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Derivatives
Numeric & Symbolic
f x( ) x3 7 x2 3 x 24
f1 x( )xf x( )d
df1 x( ) 3 x2 14 x 3
f2 x( )2x
f x( )d
d
2f2 x( ) 6 x 14
f 0( ) 24
f1 0( ) 3
f2 0( ) 14
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Derivatives #2
x 10 9.9 10
10 5 0 5 10200
100
0
100
200
f x( )
f1 x( )
f2 x( )
x
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Integrals
From Calculus Toolbar Symbolic & Numeric
Evaluation
xcos x( ) d sin x( )
a
bxx2 33 x 23d
1
3b3 33
2b2 23 b 1
3a3 33
2a2 23 a
1
2xx2 33 x 23d 74.833