Maple 11 Cheat Sheet (Page 3 of 3) in pdf

Plots

• f

represented

parametrically:

[f1(x,y), f2(x,y), f3(x,y)].

e.g.

plot(f, x=xmin..xmax, options ); Creates

two-

plot3d([x*sin(x)*cos(y), x*cos(x)*cos(y),

dimensional plot of the real function f (x) over the

x*sin(y)], x=0..2*Pi, y=0..Pi);

horizontal range from xmin to xmax.

Options are

• f

is a list of functions to be graphed on

speciﬁed in the form option=value (see box below).

the

same

plot:

[f1(x,y), f2(x,y), ...,

fn(x,y)].

If there are three functions, use

• f is a function with an independent variable. e.g.

the

option

avoid

parametric

plotlist

plot(x^2, x=-5..5);.

plot.

plot3d([sin(x*y),cos(x*y),x+y],

e.g.

• f

represented

parametrically:

x=-1..1, y=-1..1, plotlist); puts the functions

[x(t),y(t),t=t0..t1].

e.g.

z = sin(xy), z = cos(xy), and z = x + y on the same

plot([cos(t),sin(t),t=-2*Pi..2*Pi]);

plot.

• f is a list of functions to be graphed on the same

implicitplot3d(eqn, x=a..b, y=c..d, z=i..j, options );

plot: [f1, f2, ..., fn]. e.g. plot([1,x,x^2],

In the plots package. Creates the three-dimensional plot

x=-2..2); puts the functions y = 1, y = x, and

of an implicitly deﬁned surface eqn on the speciﬁed

y = x

on the same plot.

intervals: x = [a, b], y = [c, d] and z = [i, j]. Options are

speciﬁed in the form option=value (see box below). e.g.

implicitplot(eqn, x=xmin..xmax, y=ymin..ymax, options );

implicitplot3d(x^2+y^2+z^2=1, x=-1..1, y=-1..1,

In the plots package.

i.e.

Must be preceded by

z=-1..1);.

with(plots); Creates the two-dimensional plot of an

implicitly deﬁned curve eqn on the speciﬁed intervals:

Options for Plot3d and Implicitplot3d

[xmin, xmax] and [ymin, ymax].

Options are speci-

ﬁed in the form option=value (see box below).

Type of axes

axes=boxed/frame/none/normal

e.g.

implicitplot(x^2+y^2=1, x=-1..1, y=-1..1);.

Color of curves

color=blue/black/green/red/etc.

Contours

contours=number

inequal(ineqs, x=xmin..xmax, y=xmin..xmax, options );

Coordinate System

coords=cartesian/cylindrical/

In the plots package.

Plots regions deﬁned by

spherical/etc.

inequalities ineqs in the speciﬁed x and y inter-

Grid Dimensions

grid=[m,n]

vals.

Options are in the form optionsfeasible /

Label Axes

labels=[x,y,z]

optionsopen / optionsclosed / optionsexcluded

Scaling

scaling=constrained/unconstrained

(optionsList),

where

optionsList

the

Line thickness

thickness=number

format

(option=value, option2=value2, ...).

Title

title="plot title"

inequal(x+y>0, x-y<=1, x=-3..3, y=-3..3,

e.g.

View window

view=[xmin..xmax,ymin..ymax,

optionsexcluded=(color=blue,thickness=2));

zmin..zmax]

animate(plotcommand, plotargs, t=a..b, options );

Options for Plot, Implicitplot, and Inequal

In the plots package. Creates a 2-D or 3-D animation

on paramter t, ranging from a to b.

plotcommand is

Type of axes

axes=boxed/frame/none/normal

a Maple command that generates a 2-D or 3-D plot

Color of curves

color=blue/black/green/red/etc.

(e.g.

plotargs is

plot, plot3d, implicitplot).

Determine input

discont=true/false

a list of arguments to the plot command. Possible op-

discontinuities

tions are those used in the plot command or the following:

Draw gridlines

gridlines=true/false

Label Axes

labels=[x,y]

Number of frames

frames=n

Scaling

scaling=constrained/unconstrained

Display a trace of n frames

trace=n

Line thickness

thickness=number

animate(plot, [A*sin(x), x=0..10], A=0..2,

e.g.

Title

title="plot title"

frames=50, trace=5);

Min/max y values

y=ymin..ymax

View window

view=[xmin..xmax,ymin..ymax]

display(L, options); In the plots package. Combines the

plot3d(f, x=a..b, y=c..d, options ); Creates a three-

list L of plot structures into a single plot or animation.

dimensional plot of the real function f (x, y) over the

options are those used for plot or plot3d.

horizontal range [a, b] and vertical range [c, d]. Options

with(plots):

e.g.

are speciﬁed in the form option=value (see box below).

p1:=plot3d(sin(x*y), x=-Pi..Pi, y=-Pi..Pi):

p2:=plot3d([x+y, sin(x)], x=-Pi..Pi, y=-Pi..Pi):

• f is a function with two independent variables. e.g.

display([p1,p2], axes=boxed, title="test plot");

plot(sin(x+y), x=-1..1, y=-1..1);.

Maple 11 Cheat Sheet

Margaret Yau. Mt. San Antonio College

Maple 11 Cheat Sheet Page 3

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