Electronic Proceedings of the Eighteenth Annual International Conference on Technology in Collegiate MathematicsOrlando, Florida, March 1619, 2006Paper S118
This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Eighteenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0321491602, Copyright (C) 2007 by Pearson Education, Inc. 
Ude 3D Mathematica to Motivate Interest in Topics from Multivariable Calculus 
Kristine Numrich
Mathematics and Computer Science (MCS) Division
El Camino College
16007 Crenshaw Blvd.
Torrance, CA 90506
USA
Phone: (310) 6606756
knumrich@elcamino.edu

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A CAS helps to meaningfully foreshadow multivariable calculus in the earlier calculus classes. Examples presented include linearization of curves extended to linearization of surfaces; parameterizing the intersection of three planes. Conclude with examples from multivariable calculus: surfaces in cylindrical and spherical coordinates; method of Lagrange multipliers; the Divergence Theorem.
Keyword(s): multivariable calculus, Mathematica