In this lesson we are going to start a new course Multivariable Calculus or Calculus 3

Functions of Several Variables: are functions that take multiple inputs (more than one input) to produce a single output or multiple outputs.

We shall in this lesson expose ourselves to functions of two or more variables and how to find the range and domain of such functions.

A function of two variables x and y may be presented in the form, z = f(x,y). And example is a function of two variables is the area of a rectangle, thus
A = l * w, then: A = f(l,w) = l * w

A function of three variables x, y and z may as well be presented in the form, w = f(x,y,z). And example is a function of three variables is the volume of a rectangular box, thus
V = l * w * h, then: V = f(l,w,h) = l * w * h

Domain: the set of ordered input values that produce a unique real value for the independent variable OR the set of ordered input values that makes the function defined.

Range: the set of output values of the function.

Playlists on various Course
1. Applied Electricity
   • APPLIED ELECTRICITY  

2. Linear Algebra / Math 151
   • LINEAR ALGEBRA  

3. Basic Mechanics
   • BASIC MECHANICS / STATICS  

4. Calculus with Analysis / Calculus 1 / Math 152
   • CALCULUS WITH ANALYSIS / CALCULUS 1 /...  

5. Differential Equations / Math 251
   • DIFFERENTIAL EQUATIONS  

6. Electric Circuit Theory / Circuit Design
   • ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN  

7. Calculus with Several Variables
   • CALCULUS WITH SEVERAL VARIABLES / MAT...  

Make sure to watch till the end.
Like, share, and subscribe.
Thank you.