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Contents
Contents
Multivariable Calculus with Maxima
G. Jay Kerns
Contents
Getting Maxima
How to Install
imaxima
for Microsoft Windows
Install the software
Configure your system
Three Dimensional Geometry
Vectors and Linear Algebra
Lines, Planes, and Quadric Surfaces
Vector Valued Functions
Arc Length and Curvature
Functions of Several Variables
Partial Derivatives
Linear Approximation and Differentials
Chain Rule and Implicit Differentiation
Directional Derivatives and the Gradient
Optimization and Local Extrema
Lagrange Multipliers
Multiple Integration
Double Integrals
Integration in Polar Coordinates
Triple Integrals
Integrals in Cylindrical and Spherical Coordinates
Change of Variables
Vector Calculus
Vector Fields
Two-dimensional
Gradient vector fields
Three-dimensional
Line Integrals
With respect to arc length
Of vector fields
Conservative Vector Fields and Finding Scalar Potentials
Miscellaneous
Saving your plots
Saving your Maxima commands
GNU Free Documentation License
0. PREAMBLE
1. APPLICABILITY AND DEFINITIONS
2. VERBATIM COPYING
3. COPYING IN QUANTITY
4. MODIFICATIONS
5. COMBINING DOCUMENTS
6. COLLECTIONS OF DOCUMENTS
7. AGGREGATION WITH INDEPENDENT WORKS
8. TRANSLATION
9. TERMINATION
10. FUTURE REVISIONS OF THIS LICENSE
11. RELICENSING
ADDENDUM: How to use this License for your documents
About this document ...
G. Jay Kerns 2009-12-01