Transcription of Vector Calculus
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Vector Calculus
1. z 0. -10. -5. -10 0 x -5. 0 5. y 5 10. 10. Vector Calculus Michael Corral Vector Calculus Michael Corral Schoolcraft College About the author: Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a in Mathematics from the University of California at Berkeley, and received an in Mathematics and an in Industrial & Operations Engineering from the University of Michigan. This text was typeset in LATEX 2 with the KOMA-Script bundle, using the GNU Emacs text editor on a Fedora Linux system. The graphics were created using MetaPost, PGF, and Gnuplot. Copyright 2008 Michael Corral. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
In vector (or multivariable) calculus, we will deal with functions of two or three variables (usually x,y or x,y,z, respectively). The graph of a function of two variables, say, z=f(x,y), lies in Euclidean space, which in the Cartesian coordinate system consists …
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