Download Calculus III (Lamar University, 2007, 280 pages, 2.39 MB pdf file)

Prerequisites for studying this notes are a good working knowledge of Calculus I and a good knowledge of some Calculus II topics including some integration techniques, parametric equations and vectors.

The chapter "Threedimensional Space" is the same as in Dawkins Calculus II. The other topics that are covered include partial derivatives and their applications, multiple integrals, line integrals and surface integrals. The important concepts of div and curl are covered too. But considering how important both of them are, more space could have been used for them. A deeper discussion of the physical interpretation of div and curl and some corresponding pictures would have been very useful.

You may also be interested in some other recommendations for Introductions to Calculus.

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