Maple 11 Cheat Sheet printable pdf download

Maple 11 Cheat Sheet

Keyboard Shortcuts

Evaluate

Enter

Syntax

Evaluate and display inline

Ctrl + =

(Document Mode)

Complete symbol/command

Ctrl + Space

; Ends a command with a semicolon. e.g. 5+6; plot(x);

Toggle Math/Text entry

(Document Mode)

Toggle 2-D/1-D Math entry

: Suppresses the display of output by ending a command with

(Worksheet Mode)

a colon. Useful for lengthy outputs or loading packages.

Ctrl + F1

Maple help

e.g. with(plots):

5000!:

:= Assigns an expression to a variable. e.g. a:=3; b:=a+x;

Deﬁned Constants

assigns 3 to a and 3 + x to b. x:=’x’; unassigns the

variable x.

π ≈ 3.14159265...

√

complex number I =

= Deﬁnes mathematical equations. e.g. y = x^2 + 3*x + 4;

∞

infinity

produces the equation y = x

+ 3x + 4.

Euler’s constant γ ≈ 0.5772156649...

gamma

Catalan

Catalan’s constant ≈ 0.915965594...

% Refers to the last result. n of the % symbols refers to the n

e ≈ 2.718281828

exp(1)

previous result. e.g. %%% gives the third previous presult.

f :=(x,y,...)->... Deﬁnes a function. e.g. f := (x,y) ->

x^2+y^2; deﬁnes the function f (x, y) = x

+ y

. f(0,1)

Commands

evaluates f (0, 1) = 0

+ 1

= 1. plot3d(f(x,y), x=0..1,

General

y=0..1); plots the function.

with(package ); Loads the speciﬁed Maple package.

L :=[x1, x2, ..., xn ] Deﬁnes a list (ordered sequence) L

of expressions x

, x

, . . . , x

. Refer to the n

list item

unassign(var ); Deletes a value stored in the given variable.

by L[n]. To extract the contents of a list, use the empty

e.g. a:=1; unassign(’a’); unassigns the identiﬁer a so

selection operator []. e.g. A:=[1,2,3]; A[3]; returns 3.

that it does not contain the value of 1 anymore.

A[] returns 1,2,3.

restart; Clears internal memory. The settings of all identi-

ﬁers are resetted.

S: :={x1, x2, ..., xn } Deﬁnes a set S of expressions x

, x

. . . , x

. Use the empty selection operator[] to extract the

contents of a set. e.g. S:={5,3,3,2,1}; S[]; returns

1,3,4,5.

Common Mathematical Operations

?topic Displays help on topic.

addition and subtraction

x + y - z;

multiplication

x * y;

All identiﬁers (variables and functions) are case sensitive.

division

x / y;

e.g. X is diﬀerent from x. Pi and pi are diﬀerent!

power x

x^y;

√

square root

sqrt(x);

In general, a function whose name begins with a capital letter

exponential e

exp(x);

is an inert form of the function who has the same name but

natural log ln(x)

ln(x);

begins with lower case. Inert functions are unevaluated

log[b](x);

logarithm log

(x)

√

and may be manipulated and printed in a prettyprinted

real n

root

surd(x,n);

format. e.g. Int(x,x); returns

xdx and is the inert

trigonometric functions

sin(x); cos(x); tan(x);

form of int(x,x);, which evaluates to x

/2.

inverse trig functions

arcsin(x); arccos(x);

arctan(x);

Usages

Numerical Manipulation

Right-click an expression to display a context-sensitive menu

eval(expression ); Evaluates the given expression.

e.g.

of applicable options.

a:=b^2; b:=c+1; c:=2; eval(a); returns 9.

!!! Click the !!! icon to execute the entire worksheet. Useful

eval(expression, x=value ); Evaluates expression at the

when you have changed expressions that aﬀect subsequent

given point x = value. e.g. eval(x^2+5*x, x=1); evalu-

commands.

ates the polynomial x

+ 5x at x = 1 and returns 6.

Maple 11 Cheat Sheet

Related Articles

Related forms

Related Categories