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Copyright © 2019 by Morgan & Claypool
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in
any form or by any means—electronic, mechanical, photocopy, recording, or any other except for brief quotations
in printed reviews, without the prior permission of the publisher.
Fast Start Advanced Calculus
Daniel Ashlock
www.morganclaypool.com
ISBN: 9781681736563 paperback
ISBN: 9781681736570 ebook
ISBN: 9781681736587 hardcover
DOI 10.2200/S00948ED1V01Y201908MAS030
A Publication in the Morgan & Claypool Publishers series
SYNTHESIS LECTURES ON MATHEMATICS AND STATISTICS
Lecture #30
Series Editor: Steven G. Kranz, Washington University, St. Louis
Series ISSN
Print 1938-1743 Electronic 1938-1751
Fast Start Advanced Calculus
Daniel Ashlock
University of Guelph
SYNTHESIS LECTURES ON MATHEMATICS AND STATISTICS #30
C
M
&
cLaypoolMo
rgan publishers
&
ABSTRACT
is book continues the material in two early Fast Start calculus volumes to include multivari-
ate calculus, sequences and series, and a variety of additional applications. ese include partial
derivatives and the optimization techniques that arise from them, including Lagrange multipli-
ers. Volumes of rotation, arc length, and surface area are included in the additional applications
of integration. Using multiple integrals, including computing volume and center of mass, is cov-
ered. e book concludes with an initial treatment of sequences, series, power series, and Taylor’s
series, including techniques of function approximation.
KEYWORDS
partial derivatives, multivariate optimization, constrained optimization, volume,
arc-length, surface integrals, multiple integrams, series, power series
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