f(x) := sin(x);What this does is create a procedure called f, and assign an entry to its remember table. Thus f(x) will return sin(x). f(3) will return f(3). That is, unless you type exactly f(x) you will not get what you thought you typed. Instead, use operators:
f := x -> sin(x);or expressions
f := sin(x);Otherwise results can be quite unpredictable.
Today's topic: polynomials in Maple: GCD, resultants, the Hurwitz criterion.