Engineering Mathematics with MathematicaThis supplementary text for applied mathematics courses where Mathematica is used in a laboratory setting, is intended to be compatible with a broad range of engineering mathematics texts, as well as smaller, more specialized texts in differential equations and complex variables. It covers topics found in courses on ordinary and partial differential equations, vector analysis, and applied complex analysis. Students are guided through a series of laboratory exercises that present cogent applications of the mathematics and demonstrate the use of Mathematica as a computational tool to do the mathematics. Relevant applications along with discussions of the results obtained combine to stimulate innovative thinking from the students about additional concepts and applications. |
Contents
Introduction | 1 |
Building Vectors | 14 |
Manipulating Discrete Data | 35 |
Copyright | |
32 other sections not shown
Common terms and phrases
AiryAi Algebra amplitude argument BesselJ boundary conditions calculation Cauchy-Euler equation CHAPTER coefficient matrix complex ComplexToTrig components compute Consider convert coordinate system cosine series dot product DSolve eigeneq eigenfunction eigenvalues engineering mathematics Evaluate example EXERCISES expression FIGURE FindRoot Fourier series Fourier sine series func Graphics heat equation hinged-hinged bar I L lam initial conditions Integrate InterpolatingFunction inverse InverseLaplace Transform LABORATORY GOALS lam L lam lam lam lambda Laplace Transform linear manipulation mapping Mathematica Mathematica function nonhomogeneous Note that Mathematica numerical solution obtained operator option ordinary differential equations output package ParametricPlot partial sums particular solution Plot3D PlotPoints polynomial Residue result shown roots salt in Tank shown in Fig simple pendulum Simplify Sin[t w Solution to Eq Solve spring-mass system Sqrt substitute Suppose surface symbolic Table tion value problem variable vector vibrating x²y zero