By Jeffery Cooper
Designed for a path in multivariable calculus, this publication offers a set of MATLAB courses and routines, besides uncomplicated ideas, computations, and images. Chapters specialize in the command line, mfiles, vectors, curves, services of 2 and 3 variables, fixing equations, optimization, a number of integrals, scalar integrals, and electrostasis and fluid movement, routines contain functions to economics, physics, engineering, and biology. Cooper teaches arithmetic on the college of Maryland.
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Additional info for A MATLAB companion for multivariable calculus
The command zoom out restores the original ﬁgure. zoom off turns off the zoom feature. 8 Managing the workspace and getting help Now that you can solve some equations and graph some functions, you will ﬁnd the following utility commands very useful. Workspace commands These commands allow you to ﬁnd what you have in your workspace and how to clear out unneeded variables. who lists variables currently in the workspace and their type. clear clears the workspace; all variables are removed. clear x y g removes only the variables x; y and the function (either inline or symbolic) g.
If f is deﬁned by a symbolic expression and we wish to graph it on the interval [1; 5], we can do it with the one command, ezplot(f, [1,5]). For example, >> syms x >> f = cos(x)^2*exp(x) >> ezplot(f, [1,5]) This can be most useful after a symbolic calculation leads to a complicated expression. cos x/2 exp x, if we want to quickly graph the second derivative of f , we could add the lines >> g = diff(f,2) >> ezplot(g, [1,5]) The ezplot command picks its own points for graphing, using more where the function changes rapidly and fewer where it changes more slowly.
8 Managing the workspace and getting help Now that you can solve some equations and graph some functions, you will ﬁnd the following utility commands very useful. Workspace commands These commands allow you to ﬁnd what you have in your workspace and how to clear out unneeded variables. who lists variables currently in the workspace and their type. clear clears the workspace; all variables are removed. clear x y g removes only the variables x; y and the function (either inline or symbolic) g. clf clears the ﬁgure window.