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Math 1314
Lesson 22
Functions of Several Variables
So far, we have looked at functions of a single variable.
In this section, we will consider
functions of more than one variable.
You are already familiar with some examples of
these.
y
x
y
x
P
2
2
)
,
(
+
=
t
i
P
t
i
P
A
)
1
(
)
,
,
(
+
=
These formulas are functions of several variables. We have just never called them that
before.
We will, for the most part, limit our discussion to functions of two variables.
Functions of Two Variables
Definition
:
A real valued function of two variables,
f
,
consists of a set
A
of ordered
pairs of real numbers (
x, y
) called the domain of the function, and a rule that associates
with each ordered pair in the domain of
f
one and only one real number, denoted by
).
,
(
y
x
f
z
=
You will need to learn several skills using functions of several variables:
1.
Evaluating
a function of several variables at a given point.
Example 1
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This note was uploaded on 02/21/2012 for the course MATH 1314 taught by Professor Marks during the Fall '08 term at University of Houston.
 Fall '08
 MARKS
 Math

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