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I love science (lemmy.zip)
submitted 10 months ago by to c/science_memes@mander.xyz
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[–] 29 points 10 months ago (15 children)

If there's advanced calculus, there's presumably also regular calculus, so at what point does calculus start to be advanced?

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  • [–] 22 points 10 months ago (4 children)

    For me, the leap to multivariate calculus gave me a lot of trouble.

    Differential equations was doable but no longer fun for me, either.

    It was a combination of multivariate calculus, linear algebra, and differential equations where I just wasn't having fun with math anymore. Those subjects represented the end of pure math education for me, and later engineering classes requiring knowledge in those were also not a ton of fun. Went from a self-described math and science guy to just...not describing myself in that way anymore.

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  • [–] 4 points 10 months ago*

    Honestly the standard curriculum was fine. It was when you got into trying to apply those skills to deciphering academic literature in a meaningful way as part of a broader career that things got tricky.

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  • [–] 2 points 10 months ago (2 children)

    Is it just that it becomes so difficult/technical at that point?

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  • [–] 11 points 10 months ago

    At a certain point my pattern recognition skills reached their limit to where learning each new concept was still the same, but I had a lot more trouble organically seeing and identifying when a particular technique was useful for a particular type of problem. Which is something that happens to a lot of different people at different stages of their math education, just happens to different people at different points.

    And maybe I could've stuck with it, or used it enough to where I eventually got it easily the way I had done with all math topics before that, but I ended up steering the rest of my engineering education into topics that weren't as heavy on that type of math. More programming and logic and microcontrollers, less electromagnetics and radio signals.

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  • [–] 8 points 10 months ago (2 children)

    The start of calculus is relatively easy and intuitive, ive heard there are some schools that teach the basics of it to children at the same time they normally learn algebra.

    Then theres the real bastard calculus that can and will make grown adults cry.

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  • [–] 5 points 10 months ago

    I can think of a few potential cut offs, taking differential calculus to be basic.

    Integral calculus. Multivariate calculus. Differential equations. Epsilon-Lamba calculus.

    But that's just my opinion.

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  • [–] 5 points 10 months ago

    When there is more letters than numbers. When the letters change to weird shapes (integral). When there are multiple successive brackets. I dunno, I am not a mathematician.

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  • [–] 3 points 10 months ago (1 child)

    From my experience, books titled "advanced calculus" cover the fundamentals in a lot more detail, with focus on δ-ε proofs. Usually, "advanced calculus" comes between elementary calculus (Calc 1-3 in a US institution) and real analysis.

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