This 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. An "Instructor's Manual" (ISBN 0-07-052172-2) is also available.
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 230 mm
Breite: 163 mm
Gewicht
ISBN-13
978-0-07-053171-0 (9780070531710)
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Schweitzer Klassifikation
Part 1 Linear algebra: 1 About Mathematica: goals; about Mathematica; basic algebra and calculus operations; plotting 2D graphics; plotting 3D graphics. 2 Lab I - Matrices: laboratory goals. 3 Systems of equations: laboratory goals; linear equations; non-linear equations; graphical and numerical solutions; exercises. Patr 2 Ordinary differential equations: 4 Second-order constant-co-efficient ODEs: laboratory goals; general solutions; using initial conditions; damped motion; forced motion; exercises. Part 3 Boundary value problems: 5 Fourier series: laboratory goals; Fourier sine series; Fourier cosine series; the Fourier transform package; Fourier series; exercises. 6 The heat equations: laboratory goals; uniform thin rod; asymmetric initial temperature; displaying heat flow dynamics; discussion; exercises. 7 The vibration annulus: laboratory goals; description of the annulus; separation of the variables solution; determination of the Eigenvalues; sketching the Eigenmodes; exercises. Part 4 Complex variables: 8 Complex variables: laboratory goals; manipulating complex numbers; complex numbers; exercises. Part 5 Vector calculus: 9 Vector functions of a single variable: laboratory goals; three-dimensional particle motion; the TNB co-ordinate system; curvature and torsion; exercises.
