Engineering Mathematics with Maple
This book is intended for use as a supplemental tool for courses in engineering mathematics, applied ordinary and partial differential equations, vector analysis, applied complex analysis, and other advanced courses in which MAPLE is used. Each chapter has been written so that the material it contains may be covered in a typical laboratory session of about 1-1/2 to 2 hours. The goals for every laboratory are stated at the beginning of the chapter. Mathematical concepts are then discussed within a framework of abundant engineering applications and problem-solving techniques using MAPLE. Each chapter is also followed by a set of exploratory exercises that are intended to serve as a starting point for a student's mathematical experimentation. Since most of the exercises can be solved in more than one way, there is no answer key for either students or professors.
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Manipulating Discrete Data
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argument array Bessel BesselY(l/3 boundary conditions box plot Cauchy-Euler equation CHAPTER coefficient matrix complex components compute Consider convert coordinates cos(t cos(w t cos(x cosClam cosine cosine series curves data sets density plot determine diff(y(x differential equation divergence theorem dsolve eigenfunction eigenvalues eigenvectors engineering mathematics evalf evaluate example EXERCISES exp(t exp(x expClam exponential f solve FIGURE Fourier series Fourier sine series given gradient graphics heat equation independent variable initial conditions integral interval inverse LABORATORY GOALS Laplace transform linalg package linear manipulate Mapie Maple function mapping norm Note that Maple obtained operator option ordinary differential equations output partial sums Pi Pi plot2 plot3d polynomial random numbers residue result shown roots scatter plot shown in Fig sin(t sindam Solution to Eq spring-mass system subs(x Suppose surface symbol Taylor series temperature three-dimensional value problem vector field vibrating w+2w+l xl(t ysub zero