## A guide to MATLAB by Brian R. Hunt, Ronald L. Lipsman, Jonathan M. Rosenberg,

By Brian R. Hunt, Ronald L. Lipsman, Jonathan M. Rosenberg, with Kevin R. Coombes, John E. Osborn, and Garrett J. Stuck

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**Example text**

MATLAB distinguishes between uppercase and lowercase letters. You should choose distinctive names that are easy for you to remember, generally using lowercase letters. For example, you might use cubicsol as the name of the solution of a cubic equation. ➱ A common source of puzzling errors is the inadvertent reuse of previously deﬁned variables. MATLAB never forgets your deﬁnitions unless instructed to do so. You can check on the current value of a variable by simply typing its name. Solving Equations You can solve equations involving variables with solve or fzero.

Using a symbolic expression, you can produce the plot in Figure 2-4 with the following input: >> syms x >> ezplot(xˆ2 + x + 1, [-2 2]) ✓ Graphs can be misleading if you do not pay attention to the axes. 5 2 Figure 2-4 that looks identical to the previous one, except that the vertical axis has different tick marks (and MATLAB assigns the graph a different title). Modifying Graphs You can modify a graph in a number of ways. You can change the title above the graph in Figure 2-4 by typing (in the Command Window, not the ﬁgure window) >> title ’A Parabola’ You can add a label on the horizontal axis with xlabel or change the label on the vertical axis with ylabel.

The command close all removes all existing graphics windows; axes starts a fresh, empty graphics window; and hold on lets MATLAB know that we want to draw several curves on the same set of axes. The lines between for and end constitute a for loop, as described above. The important part of the loop is the plot command, which plots the desired sine curves. We inserted an echo off command so that we only see the loop commands once in the Command Window (or in a diary ﬁle). Finally, we turn echoing back on after exiting the loop, use hold off to tell MATLAB that the curves we just graphed should not be held over for the next graph that we make, title the ﬁgure, and instruct MATLAB to pause so that the viewer can see it.