List of Maple commands:
Command Syntax Example Remarks
%   sin(Pi/4); evalf(%); previous output
animate animate(F(x,t), x=a..b, t=c..d); animate( sin(x*t), x = -2*Pi..2*Pi, t = 1..5); click on graph to get player controls
ceil ceil(x); ceil(Pi); ceil - smallest integer greater than or equal to a number
convert convert(expr, form) convert(taylor(sin(x),x=Pi/4,6),polynom);
convert(sinh(x), exp);		  
D D(function) f:=x->sqrt(x^2+1);
D(f);
(D@@2)(f); #second derivative		 f must be a previously defined function, returns a function
diff diff(epxression,x); diff(sqrt(x^2+1),x);
diff(sqrt(x^2+1),x$3); #third deriv.		 find derivative of an expression
display plots[display](A,B); A:=plot(sin(x), x = -Pi..Pi):
B:=plot(cos(x), x = -Pi..Pi, style = point):
plots[display](A,B);		 displays 2 or more plots on the same axes
evalf evalf(expression); evalf(sin(Pi/4)); floating point evaluation
exp exp(expression); exp(x^2+1); Exponential function
expand expand (expr); expand ((x-2)*(x+5)^3);  
factor factor (expr); factor (x^4-y^4);  
floor floor(x); floor(Pi); floor - greatest integer less than or equal to a number
for |for <name>| |from <expr>| |by <expr>| |to <expr>| |while <expr>| do <statement sequence> end do; for k from -2 to 20 by 2 do
   print(3*k)
end do;		  
fsolve fsolve(eqns, vars, options); fsolve(sin(x)=1/x, x=0..2); fsolve(sin(x)=1/x, x=2..4); can search for solutions in a particular interval
function definition f := x->expression; f := x-> x* (1-x);  
implicitdiff implicitdiff(eqn, y, x) implicitdiff(x^2+2*x*y+y^2=x*y,y,x); find dy/dx when given an equation in variables x and y
implicitplot implicitplot(expr1,x=a..b,y=c..d,<options>) with(plots):
implicitplot(x^2 + y^2 = 1,x=-1..1,y=-1..1);		 plot an equation in x and y
Int, int int(expr,x);
int(expr,x=a..b);		 Int(exp(x)*sin(x),x); value(%);
Int(exp(-x^2),x=0..1); evalf(%);		 indefinite, definite integration
Int is the "inert" form, and is not evaluated
limit limit(expression,x=a,dir); limit(sin(x)/x,x=0,right);
Limit(exp(-x),x=infinity); value(%);		 Use Limit for the "intert" form, and follow with the value(%) command to evaluate.
Pi Pi; Pi;  
plot plot([expr1, expr2], x=a..b); plot (f(x), x = -10..10);
plot([sin(x),1/x], x=-5..5);
plot([sin(x),1/x], x=-5..5, y=-5..5);		 use the help command
?plot[options]
to get details on more options
printf printf(format, x1, ...,xn); printf("%5.5f %5.10f %5.10f\n",
a,evalf(f(a)),evalf(f(-a)));		 based on a C standard library function of the same name. It uses the formatting specifications in the format string to format and display the expressions.
readstat readstat(prompt); x0 := readstat( "enter value of x to center your zoom: " );  user is prompted to enter data at execution time
restart restart;   clears memory
showtangent with(student):
showtangent (f(x), x = a)		 with(student):
showtangent(x^2+5, x = 2); 		displays tangent line to graph of f(x) at point x=a.
simplify simplify (expr); simplify((x^2-1)/(x-1));
simplify(exp(x+ln(y*exp(z))));		  
solve solve(eqns, vars); solve(sin(x)=1/x, x); evalf(%);
solve({2*a+3*b=5,4*a-5*b=7},{a,b});		 solve an equation or a system of equations
subs subs(x=a,expr); subs(x=3,exp(x^2+1)); substitute into an expression
surd surd(x,n); surd(x,3); restricts to the real nth root of a real number
taylor taylor(expr, x=c, n) taylor(sin(x),x=Pi/4,6); use "convert" to eliminate the error term
textplot with(plots):
textplot ( [x0,y0,"text you want"]);		 with(plots):
textplot ( [1,3, "text you want"]);
 place text anywhere on a graph