puzzling out the proofs for concepts so utterly fundamental to math by myself that it’s like if Genesis 1:3 was And God said, ‘Let there be integer,’ and there was integer

    • hexaflexagonbear [he/him]@hexbear.net
      link
      fedilink
      English
      arrow-up
      5
      ·
      edit-2
      2 months ago

      Only if it’s the math major version of the course at elite institutions, at least in the US. Typical versions of calculus will probably at best discuss epsilon-delta definition of a limit. They won’t discuss topics like connectedness or compactness, and when covering the Riemann integral they will use a version that only works for continuous (and can be extended to piecewise continuous) functions, but the definition can’t answer some basic questions like “is this function Riemann integrable”.

      • Tomorrow_Farewell [any, they/them]@hexbear.net
        link
        fedilink
        English
        arrow-up
        3
        ·
        edit-2
        2 months ago

        Only if it’s the math major version of the course at elite institutions, at least in the US

        Huh? Wow, I guess the west is this barbarous. Seriously, those topics were covered in the first semester in my case, with the primary textbook also taking a topological approach (without introducing topology explicitly - just working with the metric notion of open sets, though).

        Commercialised access to higher education has been a scourge upon your education, or seems.