Three-Dimensional Graph Drawing Procedures for Functions of Two and Several Variables

Abstract

Many functions depend on more than one independent variable. For instance, the volume of a right circular cylinder is a function of its radius and its height, so it is a function V(r, h) of two variables r and h.

Real valued functions of several independent real variables are defined similarly to functions in the single-variable case. In this article, we define functions of more than one independent variable and discuss ways to graph them. But their graph is impossible in the two-dimensional system and the MATLAB program is the language that guarantees computer implementation at a high level in mathematics, easily presenting calculations, images, graphs, and writing programs in its environment.

For achieving this goal, we first explained the plot3 procedure in the three-dimensional coordinate system to draw the graph of two dependent subordinates on the MATLAB program environment, followed by the surf procedure as well as the mesh procedure. Then we explained the procedures mentioned in the polar coordinates. We have provided examples to better understand each procedure.