By Jeffery Cooper
Designed for a direction in multivariable calculus, this e-book presents a set of MATLAB courses and routines, besides easy ideas, computations, and photos. Chapters specialise 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 stream, workouts contain functions to economics, physics, engineering, and biology. Cooper teaches arithmetic on the college of Maryland.
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Additional resources for A MATLAB companion for multivariable calculus
5 Pentagon inscribed in unit circle, with star inscribed in pentagon. 4 Viewing three-dimensional graphs 43 4. Refrigerator Perry, who weighs about 400 pounds, sits on a small three-legged stool. 5 feet high, and the three legs (all of the same length) are fastened at the middle of the bottom of the seat and reach the circle of radius 1 foot on the ground. a) Use MATLAB to make a three-dimensional diagram of the stool. b) Compute by hand the magnitude and direction of the force on each leg. Put the force arrows on the diagram with the arrow3 command.
To change the viewpoint to an azimuth of 45 degrees and an elevation of 60 degrees, enter view(45,60). At any time to check what the viewpoint is, enter [az,el] = view. 4, the view is from an azimuth of 68 degrees and an elevation of 32 degrees. Another way to specify the viewpoint is to enter the components of a vector. Imagine this vector attached to the translated origin in the center of the ﬁgure. The viewing angle is then down this vector toward the the center of the graph. 1= 6/ degrees. A third way to get a different viewpoint, is to enter the command rotate3d on.
For example, suppose you have entered some large matrices A; B; C and a symbolic expression f = a*x^2 + b*x +c in the course of a computation. In the next session, you do not wish to reenter these matrices or to retype the symbolic expressions. , hotstuff, with the command save hotstuff. This will save the values of all the variables you have used. If you only want to save the values of A; B; C, you can reﬁne the command to save hotstuff A B C. At your next session, to retrieve these variables, you would use the command load hotstuff.
A MATLAB companion for multivariable calculus by Jeffery Cooper