فنی مهندسی

A brief introduction to MATLAB is given in Chapters 1 and 2. The material presented there is adequate to get started. Graphing of curves and surfaces in two and three dimensions is introduced as necessary in later chapters.

Chapter 3 is a warmup chapter dealing with lines and planes. Some of the longer exercises require the student to construct graphically structures consisting of lines and planes.

There are a number of sections that present numerical algorithms for solving problems. In Chapter 4, in computing the arc length of a curve, the numerical integrator of MATLAB is used. But in addition, students write their own code to implement the polygonal line approximation. This is needed to compute the arc length of curves given as a table of coordinates, perhaps as the result of a computation. Numerical differentiation is introduced and used. Attention is also paid to the question of estimating the error in these approximations.

In Chapter 5, partial derivatives, directional derivatives, level curves, and tangent planes are illustrated graphically. Some numerical estimates of the error in the tangent plane approximation are made in the exercises.

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درباره :
برچسب ها : MATLAB , Multivariable Calculus ,
بازدید : 523