By Jeffery Cooper
Designed for a path in multivariable calculus, this booklet presents a set of MATLAB courses and workouts, in addition to easy ideas, computations, and portraits. Chapters specialize in the command line, mfiles, vectors, curves, capabilities of 2 and 3 variables, fixing equations, optimization, a number of integrals, scalar integrals, and electrostasis and fluid movement, routines comprise purposes to economics, physics, engineering, and biology. Cooper teaches arithmetic on the collage of Maryland.
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Additional resources for A MATLAB companion for multivariable calculus
We shall see this difference often. ezplot is an example of a function mﬁle that can operate on other functions. These function mﬁles have the name of a function as an argument in the call. When the function is given as an inline function, the name of the function is f or g, etc. When the function is given in an mﬁle, the name of the function is ’f’ or ’g’, etc. 3. 3 Function functions MATLAB has a number of routines that operate on functions, called function functions. These are function mﬁles that generally have function names as well as variables as arguments.
The analog in three-dimensional space is to give three vectors of coordinates, as we would to plot a polygonal line. Then the command fill3(x,y,z,’r’) ﬁlls in this polygon in space in red. However, the result can depend on the viewing angle. A consistent result is obtained when the points all lie in the same plane. Next, we turn our attention to lines described parametrically in two-dimensional and three-dimensional space. 0/ D P0 . A line given this way is easily plotted. We must ﬁrst pick a range of values for t.
Thepmagnitude of the vector is the Euclidean norm of its components, denoted jjvjj D a 2 C b2 C c2 . The direction of the vector v is the unit vector u D v=jjvjj. x0 ; y0 ; z 0 /. Of course, in two-dimensional space, the vectors and points of attachment have only two components. m are function mﬁles that can be used to display vectors in two and three dimensions, respectively. 2; 6/, we can use the commands 33 34 Vectors, Lines, and Planes >> >> >> >> >> >> >> >> >> P0 = [2 6]; v = [1 2]; arrow(P0,v) hold on w = [-2 2]; arrow(P0,w) arrow(P0,v+w,’r’) axis equal hold off Note that in the ﬁrst two calls to arrow, we did not specify the color, and the arrow will be displayed in the default color of blue.
A MATLAB companion for multivariable calculus by Jeffery Cooper