Maple Quick Reference Card

© 2000 Seattle Central Community College. Reproduced with permission

denom( ) Selects the denominator of a fraction

display( ) Combines graphs of functions and points (require with( plots) )

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);

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) common log (base 10)

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

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