Self-teaching Calculus III Books

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The discussion centers on the need for self-study resources for Calculus III due to potential enrollment issues in the course. Key topics covered in Calculus III include infinite series, parametric and polar equations, and vectors in two and three dimensions, along with lines, planes, and families of surfaces in three-dimensional space. The original poster has two calculus textbooks that address basic Calc III topics, specifically chapters 11-15 from the Dick/Patton text, which cover fundamentals of vectors, calculus of curves, and multivariable functions. However, they express concern about the lack of coverage on vector calculus in their course, which negatively impacted their understanding in electromagnetism (E&M). The request for recommendations highlights the importance of continuing calculus education independently.
Crichton
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Hi all,

Well, there is a possibility that I may not be able to get into a Calculus III course next semester so I was wondering if anyone knew of any good books that I could use to teach myself the subject matter.

I'm pretty sure Calculus III covers the following: Infinite series; parametric and polar equations; vectors in two and three dimensions; lines, planes, and various families of surfaces in three dimensional space.

I refuse to go an entire semester without continuing my Calculus education, so any help will be greatly appreciated!
 
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My two calculus textbooks (Dick, Thomas and Patton, Charles. Calculus. 1995; Swokowski, Earl W., et. al.. Calculus. 1994) both cover the basic Calc III topics. My Calc III class used Dick/Patton, and the syllabus states that the course covers "...most of chapters 11-15 of the text." That would be:

11: Fundamentals of Vectors
12: Calculus of Curves
13: Fundamentals of Multivariable Functions
14: Differential Calculus of Multivariable Functions
15: Integral Calculus of Multivariable Functions

Oddly, my Calc III course did not touch on vector calculus (chapters 16 and 17), which screwed me in E&M.
 

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