Maple Quick Reference Card

denom( )               Selects the denominator of a fraction

display( )               Combines graphs of functions and points  (require with( plots) )
eval(expr,x=v)       Evaluates the expression at the point x = v.

evalf(expr)             Numercially evaluates the given expression  to the default number of digits (10).

evalf(expr,n)          Numercially evaluates the given expression  to n digits

expand(expr)        Expands the given expression

factor(expr)           Factors the given expression

fsolve(eqn)            Finds numerical (approximate) solutions to equations.

                                  fsolve(x^2=cos(x)+4,x=0..5)

ifactor(n)              Gives prime integer factorization for a given integer

lhs(eqn)                 Selects the left hand side of an equation

implicitplot( )         Plots implicitly defined functions

                                  implicitplot(x^2/25 +y^2/9=1 , x=-5 . . 5,y=-5 . . 5,scaling=constrained);

numer( )                Selects the numerator of a fraction

plot( )                    Plots functions defined by an algebraic expression:

                                  plot(3*x^2-8 , x=-5 . . 5 , y = -20 . . 40 );

                            Plots more than one function at a time:

                                  plot( [ 3*x^2-8 , sin(x) , cos(x) ] ,x=-5 . . 5 , y=-20 .. 40 );

                            Plots points:

                             Plots parametric equations :

                                  plot( [cos(t), sin(t), t=0 . . 2*Pi] , x=-2..2, y=-2..2);

rationalize(expr)    Rationalizes the denominator of a given expression

restart                    Clears Maple's memory of all definitions

rhs(eqn )                Selects the right hand side of an equation

simplify(expr)         Simplifies the given expression

solve(eqn)              Finds exact solutions to equations, including literal equations and linear systems.

subs(x= v,expr)     Substitutes the value v for x in the expression

                                  subs(x=4,3*x^2+8);

unapply(expr)         Returns an operator from the expression

unassign('var')         Clears the variable var

with( )                    Brings in additional libraries of functions.

The standard constants  are:

Pi                      Caution: Do not use "pi", capital "P" is required        

exp(1)                  

I              

 The names of the standard functions  are:

sqrt(x)       

abs(x)    

exp(x)    

ln(x)      natural log

log(x)    natural log, same as ln(x)

log[n](x) log base n

sin(x), cos(x), tan(x), cot(x), sec(x), csc(x)        sine of  x,   etc.

arcsin(x), arccos(x), arctan(x)                           the inverse trig functions