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Self-teaching Calculus III Books

  1. Dec 8, 2007 #1
    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!
  2. jcsd
  3. Dec 8, 2007 #2
    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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