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Calculus III

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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. | Calculus III 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 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 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 .