Calculus I
This document was written and copyrighted by Paul Dawkins.
Use of this document and
its online version is governed by the Terms and Conditions of Use located at
http://tutorial.math.lamar.edu/terms.asp
.
The online version of this document is available at
http://tutorial.math.lamar.edu
.
At the
above web site you will find not only the online version of this document but also pdf
versions of each section, chapter and complete set of notes.
Preface
Here are my online notes for my Calculus I course that I teach here at Lamar University.
Despite the fact that these are my “class notes” they should be accessible to anyone
wanting to learn Calculus I or needing a refresher in some of the early topics in calculus.
I’ve tried to make these notes as self contained as possible and so all the information
needed to read through them is either from an Algebra or Trig class or contained in other
sections of the notes.
Here are a couple of warnings to my students how may be here to get a copy of what
happened on a day that you missed.
1.
Because I wanted to make this a fairly complete set of notes for anyone wanting
to learn calculus I have included some material that I do not usually have time to
cover in class and because this changes from semester to semester it is not noted
here.
You will need to find one of your fellow class mates to see if there is
something in these notes that wasn’t covered in class.
2.
Because I want these notes to provide some more examples for you to read
through, I don’t always work the same problems in class as those given in the
notes.
Likewise, even if I do work some of the problems in here I may work
fewer problems in class than are presented here.
3.
Sometimes questions in class will lead down paths that are not covered here.
I try
to anticipate as many of the questions as possible in writing these up, but the
reality is that I can’t anticipate all the questions.
Sometimes a very good question
gets asked in class that leads to insights that I’ve not included here.
You should
always talk to someone who was in class on the day you missed and compare
these notes to their notes and see what the differences are.
4.
This is somewhat related to the previous three items, but is important enough to
merit its own item.
THESE NOTES ARE NOT A SUBSTITUTE FOR
ATTENDING CLASS!!
Using these notes as a substitute for class is liable to get
you in trouble. As already noted not everything in these notes is covered in class
and often material or insights not in these notes is covered in class.
Computing Limits
In the previous
section
we saw that there is a large class of function that allows us to use
©
2005 Paul Dawkins
http://tutorial.math.lamar.edu/terms.asp
1
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View Full DocumentCalculus I
( ) ( )
lim
xa
f
xf
a
→
=
to compute limits.
However, there are also many limits for which this won’t work easily.
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 Spring '06
 YUKICH
 Calculus, Limits

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