an introduction to mathcad

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