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© 2004 Paul Dawkins
1
This document was written and copyrighted by Paul Dawkins.
You may use this
document or any portion of it provided proper credit is given to Paul Dawkins.
You many link to this document and/or the online version if you would like to.
The online version of this document is available at
http://tutorial.math.lamar.edu
.
You
can also find the complete set of notes at this site as well as download pdf versions of
specific sections from this whole document.
Preface
Here are my online notes for my Calculus III 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 III or needing a refresher in some of the topics from the
class.
These notes do assume that the reader has a good working knowledge of Calculus I topics
including limits, derivatives and integration.
It also assumes that the reader has a good
knowledge of several Calculus II topics including some integration techniques,
parametric equations, vectors, and knowledge of three dimensional space.
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.
In general I try to work problems in class that are different from my notes.
However, with Calculus III many of the problems are difficult to make up on the
spur of the moment and so in this class my class work will follow these notes
fairly close as far as worked problems go.
With that being said I often don’t have
time in class to work all of these problems and so you will find that some sections
contain problems that weren’t worked in class due to time restrictions.
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.
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Three Dimensional Space
Introduction
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 Spring '08
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 Calculus

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