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
https://www.youtube.com/playlist?list=PLInywrvFyvq7pFsDEDu2-n0f5UOhpqWBD
2. Linear Algebra / Math 151
https://www.youtube.com/playlist?list=PLInywrvFyvq4IE-nW-ikwkZ2v81n31HQX
3. Basic Mechanics
https://www.youtube.com/playlist?list=PLInywrvFyvq6FUfAigJ3157kg-nZ020fd
4. Calculus with Analysis / Calculus 1 / Math 152
https://www.youtube.com/playlist?list=PLInywrvFyvq6_G3iA7LHbt5exJgGbp4Ok
5. Differential Equations / Math 251
https://www.youtube.com/playlist?list=PLInywrvFyvq408vWA5OYXShA6rlT51TdS
6. Electric Circuit Theory / Circuit Design
https://www.youtube.com/playlist?list=PLInywrvFyvq4sNicTbLBUpgkxrkcs2OGN
7. Calculus with Several Variables
https://www.youtube.com/playlist?list=PLInywrvFyvq5IXmWYBTTMvM_EdNcfUVt3
Make sure to watch till the end.
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