massive open online calculus
THIS DOCUMENT WAS TYPESET ON JANUARY 6, 2013.
Copyright © 2013 Jim Fowler and Bart Snapp
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This text is based on David Guichard’s open-source calculus text which in turn is a modiﬁcation and expansion of notes written by
Neal Koblitz at the University of Washington. New material has been added, and old material has been modiﬁed, so some portions
now bear little resemblance to the original.
The book includes some exercises and examples from Elementary Calculus: An Approach Using Inﬁnitesimals, by H. Jerome Keisler,
available at http://www.math.wisc.edu/~keisler/calc.html under a Creative Commons license. In addition, the chapter
on diﬀerential equations and the section on numerical integration are largely derived from the corresponding portions of Keisler’s
book. Albert Schueller, Barry Balof, and Mike Wills have contributed additional material.
This book is typeset in the Kerkis font, Kerkis © Department of Mathematics, University of the Aegean.
We will be glad to receive corrections and suggestions for improvement at email@example.com or firstname.lastname@example.org.
List of Main Theorems
1.3.1 Theorem (Limit Laws)
1.3.5 Theorem (Squeeze Theorem) . . . . . . . . . . . . . . . . . . . . . .
1.6.3 Theorem (Intermediate Value Theorem) . . . . . . . . . . . . . . . .
How to Read Mathematics
Reading mathematics is not the same as reading a novel. To read mathematics you
(a) A pen.
(b) Plenty of blank paper.