A MATLAB companion for multivariable calculus / Jeffery Cooper.

Format:

Book

Author/Creator:

Cooper, Jeffery.

Language:

English

Subjects (All):

MATLAB.

Calculus--Data processing.

Calculus.

Physical Description:

1 online resource (311 p.)

Place of Publication:

San Diego : Harcourt/Academic Press, c2001.

Language Note:

English

Summary:

Offering a concise collection of MatLab programs and exercises to accompany a third semester course in multivariable calculus, A MatLab Companion for Multivariable Calculus introduces simple numerical procedures such as numerical differentiation, numerical integration and Newton's method in several variables, thereby allowing students to tackle realistic problems. The many examples show students how to use MatLab effectively and easily in many contexts. Numerous exercises in mathematics and applications areas are presented, graded from routine to more demanding projects requiring some p

Contents:

Cover; Contents; Preface; List of mfiles; Chapter 1. Basic MATLAB: The Command Line; 1.1 First steps; 1.2 Vectors and matrices; 1.3 Array operations; 1.4 Matrix multiplication and linear systems; 1.5 MATLAB functions; 1.6 Symbolic calculations; 1.7 Two-dimensional graphs; 1.8 Managing the workspace and getting help; Chapter 2. Basic MATLAB: mfiles; 2.1 Creating and editing mfiles in MATLAB; 2.2 Mfiles; 2.3 Function functions; 2.4 Script mfiles; 2.5 MATLAB documents; Chapter 3. Vectors, Lines, and Planes; 3.1 Vectors; 3.2 Plotting lines in two- and three-dimensional space; 3.3 Planes

3.4 Viewing three-dimensional graphsChapter 4. Curves in Space; 4.1 Parametric representation of curves; 4.2 Tangent vectors and velocity; 4.3 Arc length; 4.4 The geometry of curves; 4.5 Rotations in the plane; 4.6 Numerical differentiation; Chapter 5. Functions of Two Variables; 5.1 Defining numerical functions of several variables; 5.2 Graphing numerical functions of two variables; 5.3 Level curves; 5.4 Graphing techniques for symbolically defined functions; 5.5 Partial derivatives and the directional derivative; 5.6 The gradient vector and level curves; 5.7 The tangent plane approximation

5.8 More about colormaps5.9 Cutting off a graph; 5.10 The subplot command; Chapter 6. Functions of Three Variables and Parametric Surfaces; 6.1 Level sets and surfaces; 6.2 Color slices of a solid; 6.3 The gradient vector field; 6.4 Parametric representation of surfaces; 6.5 Normal vectors and tangent planes in parametric form; Chapter 7. Solving Equations; 7.1 Symbolic solutions; 7.2 Numerical solutions in one dimension; 7.3 Solving a single equation in two variables; 7.4 Newton's method in two dimensions; Chapter 8. Optimization; 8.1 Critical points and the second-derivative test

8.2 Estimating the maximum and minimum8.3 Constrained maximum and minimum problems; 8.4 Functions of three variables; Chapter 9. Multiple Integrals; 9.1 Double integrals over rectangles; 9.2 Nonrectangular regions of integration; 9.3 Change of variable in double integrals; 9.4 Triple integrals; Chapter 10. Scalar Integrals Over Curves and Surfaces; 10.1 Scalar integrals along curves; 10.2 Scalar integrals on surfaces; 10.3 Integrals over surfaces given parametrically; 10.4 Surfaces composed of triangles; Chapter 11. Integrals of Vector Fields Over Curves and Surfaces; 11.1 Vector fields

11.2 Line integrals11.3 Curl and Green's theorem; 11.4 Flux integrals; 11.5 The divergence theorem; Chapter 12. Problems from Electrostatics and Fluid Flow; 12.1 An important tool; 12.2 Electrostatics; 12.3 The geometry of fluid flow; 12.4 The Euler equations; 12.5 Incompressible flow; Chapter 13. More Features of MATLAB; 13.1 Data classes; 13.2 The command feval; 13.3 Vectorizing computations; 13.4 Programming; Appendix: Instructor Demos; Solutions to Selected Exercises; Index

Notes:

Includes index.

ISBN:

1-281-05331-7

9786611053314

0-08-048936-2

OCLC:

437179725