Symbol  Description  Example 
+,,*,/,^ 
arithmetic operators  2+54/3*5^3; 
(,) 
expression delimiters  (2+12/25)*3^(7/3); 
Pi 
5*Pi; 

I 
imaginary unit,  2+5*I; 
infinity 
positive infinity,  
alpha, beta, gamma 
other constants 
Symbol  Description  Example 
; 
terminate command, get output  2*31^12*Pi; 
: 
terminate command, suppress output  2*31^12*Pi: 
= 
equality, for setting up equation  2*x+3=5 
:= 
assignment of a label to an expression  f := 23*x+5*y; 
2*f; 

> 
function definition  g := x > x^2+2*x ; 
g(x); 

.. 
numerical range, mostly used in plot  2..2 
plot(x^2,x=0..5); 

[,] 
delimit a list in Maple  [1,2,3,4] 
{,} 
delimit a set in Maple  {2,5,x,r} 
' ' 
delay evaluation, often  x := 2; 
used to clear out a variable  x := 'x'; 

given a previous value  x; 

'' `` 
used to delimit a character string,  plot(x^2,x=2..2,title = 
for example a plot title  ``My First Plot''); 
Command  function  Example 
abs 
absolute value  abs(12/31); 
sqrt 
square root function  sqrt(35); 
sqrt(x+1); 

exp 
exponential function  exp(2*x); 
ln 
natural logarithm  ln(200.4); 
sin, cos, tan 
trig functions  cos(Pi); 
cot, sec,csc 
tan(x); 

arccos, arcsin 
inverse trig  arcsin(1/2); 
arctan, arccot 
functions  arctan(x); 
arcsec, arccsc 
arccsc(1); 
Command  Description  Example 
with 
load a Maple package  with(CalcP7); 
subs 
substitute a value  subs(x=2,x*exp(x)); 
evalf 
evaluate to a decimal  evalf(Pi); 
(floatingpoint) approximation  
expand 
expand an expression  expand((x+1)^8); 
factor 
factor an expression  factor(x^2+x); 
simplify 
simplify and expression  simplify((x^2+x)/(x+1)); 
solve 
solve an equation analytically  solve(2*x+3 = 5,x); 
fsolve 
solve an equation numerically  fsolve(x=tan(x),x=Pi/2..3*Pi/2); 
D 
differentiation operator  D(g)(x); 
(works only on a function)  D(g)(2); 

diff 
differentiation of an  diff(x^2,x); 
expression or a function  diff(g(x),x,x); 

int 
indefinite or definite  int(x^2,x); 
integral  int(x^2,x=0..1); 

limit 
limit of an expression  limit(sin(x)/x,x=0); 
or a function  limit(f(x),x=0); 

plot 
twodimensional plot  plot(x^2,x=2..2); 
more than one function  plot([x^3,2*x],x=2..2); 

plot3d 
three dimensional plot  plot3d(x^2+y^2,x=1..1,y=1..1); 
map 
apply a function to a list  map(t > 1/t,[1,2,3,4]); 
seq 
define a sequence  seq(i^3,i=1..5); 