Calculus III
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 who 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 will, on occasion, work problems off the top
of my head when I can to provide more examples than just those in my notes.
Also, I
often don’t have time in class to work all of the problems in the notes and so you will
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 Spring '09
 Calculus, Spherical coordinate system, dz dr dθ, Multiple integral, cylindrical coordinates, Paul Dawkins

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