CalcLabs with Mathematica for Multivariable Calculus

Name: CalcLabs with Mathematica for Multivariable Calculus
Price: 6.75 USD
Availability: InStock
ISBN: 9780840058133

ISBN-10: 0840058136

ISBN-13: 9780840058133

Edition: 5th 2012

Authors: Selwyn Hollis

List price: $94.95

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Description:

These comprehensive manuals help students use Maple or Mathematica programs more efficiently. These are available for bundling with your Stewart Calculus text at a special discount.

Book details

List price: $94.95
Edition: 5th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/28/2011
Binding: Paperback
Pages: 288
Size: 7.50" wide x 9.25" long x 0.75" tall
Weight: 1.298
Language: English



Prologue



Vectors



Visualizing Vectors with Mathematica



Length and Arithmetic Operations



The Dot Product and Projections


Exercises 1-12



The Cross Product



Equations of Lines



Equations of Planes


Exercises 13-22



Surfaces



Graphs of Functions of Two Variables



Traces and Contours


Exercises 1-10



Cylindrical and Spherical Coordinates



3D Contours and the Quadric Surfaces


Exercises 11-15



Vector-valued Functions



Space Curves


Exercises 1-10



Derivatives


Exercises 11-20



Parametrization



Arc Length and Curvature



Velocity and Acceleration


Exercises 21-57



Parametric Surfaces: Vector-valued Functions of Two Variables


Exercises 58-60



Multivariate Functions



Limits and Continuity


Exercises 1-2



Partial Derivatives


Exercises 3-6



The Tangent Plane and Linear Approximation


Exercises 7-9



Directional Derivatives and the Gradient


Exercises 10-15



Optimization and Lagrange Multipliers


Exercises 16-28



Multiple Integrals



Double Integrals



Polar Coordinates



Applications


Exercises 1-9



Triple Integrals



Cylindrical and Spherical Coordinates


Exercises 10-12



Change of Variables


Exercises 13-21



Vector Calculus



Vector Fields


Exercises 1-10



Line Integrals



Green's Theorem


Exercises 11-16



Surface Integrals


Exercises 17-24



Divergence, Curl, and the Laplacian



Stokes' Theorem



The Divergence Theorem


Exercises 25-31



Projects



Osculating Circles



Coriolis Acceleration



An Ant on a Helix



Animating Panicle Motion



Flying the Osculating Plane



Drawing Curves on a Sphere



Steepest Descent Curves



Critical Point Classification



Least Squares and Curve Fitting



More Curve Fitting: Nonlinear Least Squares



The Steepest Descent Method



Quadratic Approximation and Optimization



Newton's Method for Nonlinear Equations



Constrained Minimization with FindMinimum



3D Coordinate Systems



Rolling Marbles on Surfaces



Balancing a Region



Reflecting Points



2D Space Exploration



Streamlines of Velocity Fields


Appendix


Mathematica Basics



Getting Started



Functions



Equations



Lists



Rules



Graphics



Animate and Manipulate



Avoiding and Getting Out of Trouble



Turning a Notebook into a Report



Miscellaneous Advice


Index