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MathCad . Math () (.1), Toolbars (), Vew ().
Math ().
Calculator (, ). , 0 9, , (.1, ).
Graph (, ). . (.1, ).
Matrx (, ). , , , . (.1, ).
Evaluaton (). MathCad, (.1, ).
Calculus (, , ). : , , , , (.1, ).
Boolean (, ). (.1, ).
Programmng (). MathCad (.1, ).
Greek (, ). (.1, ).
Symbolc (, ). (.1, ).
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1 MathCad
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Mathcad , : .
Graph () Math () (.2,):
(X-Y Plot).
(Polar Plot).
(Surface).
(Contour Plot).
(3D) (3D Bar Plot).
(3D) (3D Scatter Plot).
(Vector Field).
Graph () Mathcad Insert ().
Mathcad , .
- . , : Graph (), nsert () Shft+2.
. . . , . , . (Propertes () . ( ).
Properties () , Display.
Highlight Region ( ). Choose Color ( ) .
Show Border ( ). . .
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Range Varable ( ), .
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. . Polar Plot ( ) Graph (), Ctrl+7. X-Y, : . 0 360. , .
. Traces () (.2, ), . Legend Label () , , Hde Legend ( ) (. 2,). Symbol (), Lne ( ) , Color () - . Type () , Weght () - (.2,).
Result Format (.2, ).
. nsert/ Graph/Polar Plot.
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, (QuckPlot). , : , , , , .
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Contour Plot - ( );
3D Bar Plot - ;
3D Scatter Plot - ;
Vector Feld Plot - . . XY. , . Mathad , . , - Y.
, Graph (). (. 3) . z z(x,y) , z, z(x,y) XY.
3
3.2.1
(QuckPlot) .
1. . X-Y, : Surface Plot () Graph (), nsert () Ctrl+2.
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2. , , . X-Y -, - : Ths varable s undefned ( ). , . , , , .
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-5 5 . . Quck Plot Data ( ) 3D-Plot Format. Format () (. 5).
Plot 1 ( 1). , , . , , . Plot 1 ( 1) , : Range 1 Range 2 ( 1 2), . ( ) :
Start (). .
End (). .
# of Grds ( ). , ( ). .
, . . , X N, Y - , X Y, , , Y N X. , , , .
, . , (Data Ponts). , , , , .
4
Plot 1 ( 1) - Coordnate System ( ) , . :
Cartesan (). .
Sphercal (). .
Cylndrcal (). .
3-D Plot Format ( 3-D ) , . .
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. ( ..), General () . (.5).
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. Rotaton (), Tlt () Twst () General () , ( ) .
Axes Style ( ) :
Permeter (),
Corner (),
None () - .
Show Box ( ), .
- Zoom () General ().
5 General (Display as)
Axes () (.6). Axes () , . , , .
6 Axes()
Backplanes( ) (. 7) .
7 Axes()
Appearance () (. 8) . Fll Surface ( ) Fll Optons ( ) ( Color Optons). Sold Color ( ), . Colormap ( ), , Advanced () (. 9).
8 Appearance ()
9 Advanced ()
Title () (. 10).
10 TITLE
3.2.2
, : X, - Y, - Z. Mathad tr(m,n,f) (). , f(x,y), , x=i, y=j (.. ). ( m), - ( n).
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3.2.3 CreateMesh
CreateMesh ( ).
CreateMesh(F,s,sl,t,tl,sgrd,tgrd,fmap) , :
F;
s;
sl;
t;
tl;
sgrd;
tgrd;
frnap.
. CreateSpace(F,t,tl,tgrd,frnap) ( ). , , , , .
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1. f(x).
2. :
A(u,v):=u,
B(u,v):=f(u)cos(v),
C(u,v):=f(u)sin(v),
3. : CreateMesh(M, s,sl,t,tl,sgrid,tgrid).
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MathCad , , , , , ..
- , . , ... MathCad , , , , , .
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Symbolc (), . MathCad (, Calculator, Evaluaton, ..).
Symbolc () :
Symbolc/Evaluate (/) , (.11,);
Symbolc/Smplfy (/ ) ;
Symbolc/Expand (/ ) ;
Symbolc/Factor(/ ) ;
Symbolc/Collect(/) ;
Symbolc/Polynomal Coeffcents (/ ) ;
Symbolc/Varable(//...) ; ; ; ; ; (.11,));
Symbolc/Matrx(/) (.11,);
Symbol/Transform(/ ) , ) (.11,).
(.11, ).
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11 Symbolic
MathCad , , , , , . : , , , , ...
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, nsert/Matrx Matrx. , , . . .
. . Matrx Subscrpt (.1,), Mn,k. , , . , , Column Matrx, , <1>.
Symbolc Matrx (. 12).
12 Symbolic .
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MathCad root. f(x)=0, f(x)- , , - . root .
polyroot , , v. v .
. Symbolc/Varable/Solve. .
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" ", gven fnd. . . , , = Evaluaton. , .
lsolve(,b) b. - , b - .
MathCad , solve. . , , solve. , .
" ", gven.
mnerr(x1,...). fnd, . mnerr , fnd.