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Thread: Calculus 4

  1. #1
    Super Member harpazo's Avatar
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    Calculus 4

    We know that there are 3 levels of calculus. I want to know if there is a calculus 4 course. Some people say that differential equations is calculus 4 in disguise. What do you say?
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    Re: Calculus 4

    The division of Calculus, or, more correctly, the teaching of Calculus, is entirely arbitrary, basically depending on how much material can be taught in one term.
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    Re: Calculus 4

    In my experience Calculus I through III typically go through introductory Calculus up to and including multivariate Calculus. I have seen Calculus IV as either Analysis or Differential Equations, depending on the School.

    -Dan
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    Super Member harpazo's Avatar
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    Re: Calculus 4

    Quote Originally Posted by HallsofIvy View Post
    The division of Calculus, or, more correctly, the teaching of Calculus, is entirely arbitrary, basically depending on how much material can be taught in one term.
    How much material should be taught per term?
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    Super Member harpazo's Avatar
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    Re: Calculus 4

    Quote Originally Posted by topsquark View Post
    In my experience Calculus I through III typically go through introductory Calculus up to and including multivariate Calculus. I have seen Calculus IV as either Analysis or Differential Equations, depending on the School.

    -Dan
    To my understanding, Calculus 3 is Multivariable Calculus. Yes? Why do you think Calculus 1-3 is introductory material?
    I've seen a few minutes of Calculus 3 on youtube by Professor Leonard. It does not look simple to me. The concept of vectors must be thoroughly understood to grasp this level of Calculus. Your thoughts?
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    Forum Admin topsquark's Avatar
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    Re: Calculus 4

    Quote Originally Posted by harpazo View Post
    To my understanding, Calculus 3 is Multivariable Calculus. Yes? Why do you think Calculus 1-3 is introductory material?
    I've seen a few minutes of Calculus 3 on youtube by Professor Leonard. It does not look simple to me. The concept of vectors must be thoroughly understood to grasp this level of Calculus. Your thoughts?
    I said up to and including. Roughly speaking, Calculus I is derivatives, Calculus II is integration techniques, and Calculus III is multivariate, though as HallsofIvy said every College pretty much does it's own thing.

    -Dan
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    Super Member harpazo's Avatar
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    Re: Calculus 4

    Quote Originally Posted by topsquark View Post
    I said up to and including. Roughly speaking, Calculus I is derivatives, Calculus II is integration techniques, and Calculus III is multivariate, though as HallsofIvy said every College pretty much does it's own thing.

    -Dan
    Good to know. I will do a self-study of Calculus 1-3 after my algebra review. I will use this site and youtube.com for help with textbook questions.
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