Cain G., Herod J. Multivariable Calculus

Online self-publishing. — Atlanta: Georgia Institute of Technology, 1997. — 213 p.A course on Multivariable Calculus. We have proposed that our "Multivariable Calculus" be the first calculus course in the curriculum here at Georgia Institute of Technology.Title and Table of Contents
Euclidean Three Space
Vectors - Algebra and Geometry
Vector Functions
Derivatives
More Dimensions
Linear Functions and Matrices
Continuity, Derivatives, and All That
f: Rn -› R
The Taylor Polynomial
Supplementary material for Taylor polynomial in several variables
Sequences, Series, and All That
Taylor Series
Integration
More Integration
One Dimension Again
Surfaces Revisited
Integrating Vector Functions
Gauss and Green
Stokes
Some Physics