Deborah Hughes-Hallett - Calculus: Single and Multivariable, Enhanced eText

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Produced by the Calculus Consortium and initially funded by a National Science Foundation Grant.

Problems from Calculus: The Analysis of Functions, by Peter D. Taylor (Toronto: Wall & Emerson, Inc., 1992). Reprinted with permission of the publisher.

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ISBN-13 978-1-119-32049-4

The inside back cover will contain printing identification and country of origin if omitted from this page. In addition, if the ISBN on the back cover differs from the ISBN on this page, the one on the back cover is correct.

Printed in the United States of America

10 9 8 7 6 5 4 3 2 1

We dedicate this book to Andrew M. Gleason.

His brilliance and the extraordinary kindness and dignity with which he treated others made an enormous difference to us, and to many, many people. Andy brought out the best in everyone.

Deb Hughes Hallett
for the Calculus Consortium

• S-I-R model, 616
  • SARS, online
  • threshold value, 618, online
• t, 277
• , Delta, notation, 5, 144
• f, gradient, 766
• F, divergence, 983
• , Euler's constant, online
• , 322
• CFdr, 922
• ba, 284
• , mean, 469
• F, curl, 1002
• /x, partial derivative, 741
• , , , spherical coordinates, 872
• , standard deviation, 469
• SFdA, 964
• , Sigma, notation, 283
• , tends to, 53
• i, j, k, 705
• w, cross product, 729
• w, dot product, 718
• d/dx notation, 108
• e, the number, 17
  • as limit, 255, online
  • property of, 32
• f' (x) notation, 100
• g, 330, 441
• i, the number, online
• n factorial, 475
• p-series, 493
• r, , z, cylindrical coordinates, 869
• r, , polar coordinates, 420
• CP dx + Q d y + Rd z, 935