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Copyright © 2019 by Morgan & Claypool
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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 Differential Calculus
Daniel Ashlock
www.morganclaypool.com
ISBN: 9781681736419 paperback
ISBN: 9781681736426 ebook
ISBN: 9781681736433 hardcover
DOI 10.2200/S00943ED1V01Y201908MAS028
A Publication in the Morgan & Claypool Publishers series
SYNTHESIS LECTURES ON MATHEMATICS AND STATISTICS
Lecture #28
Series Editor: Steven G. Kranz, Washington University, St. Louis
Series ISSN
Print 1938-1743 Electronic 1938-1751
Fast Start Differential Calculus
Daniel Ashlock
University of Guelph
SYNTHESIS LECTURES ON MATHEMATICS AND STATISTICS #28
C
M
&
cLaypoolMorgan publishers
&
ABSTRACT
is book reviews the algebraic prerequisites of calculus, including solving equations, lines,
quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-
based definition and covers the standard function library and the product, quotient, and chain
rules. It explores the applications of the derivative to curve sketching and optimization and con-
cludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.
KEYWORDS
differential calculus, review of algebra, curve sketching, optimization, limits
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