CalcLabs with Mathematica for Multivariable Calculus

ISBN-10: 0840058136

ISBN-13: 9780840058133

Edition: 5th 2012

Authors: Selwyn Hollis
List price: $64.95 Buy it from $10.00
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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.

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Book details

List price: $64.95
Edition: 5th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/28/2011
Binding: Paperback
Pages: 282
Size: 7.50" wide x 9.25" long x 0.75" tall
Weight: 1.342
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
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