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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 Integral Calculus
Daniel Ashlock
www.morganclaypool.com
ISBN: 9781681736501 paperback
ISBN: 9781681736518 ebook
ISBN: 9781681736525 hardcover
DOI 10.2200/S00946ED1V01Y201908MAS029
A Publication in the Morgan & Claypool Publishers series
SYNTHESIS LECTURES ON MATHEMATICS AND STATISTICS
Lecture #29
Series Editor: Steven G. Kranz, Washington University, St. Louis
Series ISSN
Print 1938-1743 Electronic 1938-1751
Fast Start Integral Calculus
Daniel Ashlock
University of Guelph
SYNTHESIS LECTURES ON MATHEMATICS AND STATISTICS #29
C
M
&
cLaypoolMorgan publishers
&
ABSTRACT
is book introduces integrals, the fundamental theorem of calculus, initial value problems,
and Riemann sums. It introduces properties of polynomials, including roots and multiplicity,
and uses them as a framework for introducing additional calculus concepts including Newton’s
method, L’Hôpital’s Rule, and Rolle’s theorem. Both the differential and integral calculus of
parametric, polar, and vector functions are introduced. e book concludes with a survey of
methods of integration, including u-substitution, integration by parts, special trigonometric in-
tegrals, trigonometric substitution, and partial fractions.
KEYWORDS
integral calculus, polynomials, parametric functions, polar functions, vector func-
tions, methods of integration
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