 
Summary: Glossary
The definitions of terms that are specific to mathematics, and so might not appear in a useful form in a standard
dictionary, are gathered here.
The origin of the work algebra is the Arabic word "aljabr" which means (roughly) "reunion". It is the science
of reworking statements about equality so that they are more useful. Chapter 1 covers most of the basics of
algebra.
Antiderivative is another word for integral. The antiderivative of f(x) is a function F(x) so that F
(x) = f(x).
An Asymptote is a line that the graph of a function approaches arbitrarily close to. If such a line is horizontal
we call the asymptote a horizontal asymptote; if it is vertical we have a vertical asymptote.
Bending a function f(x) is the result of either scaling the function by a constant c·f(x) or scaling the function's
argument by a constant f(cx). See Section 1.4.
Bounded sequences A sequence is bounded above if you can find a constant that is larger than every member
of the sequence. A sequence is bounded below if you can find a constant that is smaller than every member of
the sequence. A sequence is bounded if it is both bounded above and bounded below.
q A chord of a curve is a line that joins two points on the curve.
A constraint is one of two or more equations in an optimization problem that limit the domain of the optimiza
tion problem. Typically a constraint is solved and used to eliminate a variable.
The common denominator of two fraction is the smallest quantity that is a multiple of the denominator of
both fractions. You must find the common denominator in order to add fractions that do not already have the
