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What is the highest level of mathematics that should be expected to graduate high school? (lemmy.world)
submitted 11 months ago by to c/asklemmy@lemmy.world
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In Oklahoma, the requirement usually is up to “algebra 2” - this is mostly domain and range, finding roots of polynomials, and logarithms.

IMHO, the world would be better if calculus was a required part of the high school curriculum. Like yeah, most people aren’t going to need the product rule in day to day life, but the fundamental ideas about rates of change seem like they’re something that everyone human deserves to be exposed to.

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[–] 5 points 11 months ago (1 child)

In order to change the degree so that it allows studying in many universities abroad (such as Germany), this would be needed:

  • functions and graphs, mostly R->R
    • general analysis, continuity, function as a specific type of relation
    • series, sums, limits
    • derivatives
    • integration
      • numerical
      • basic approaches and when to use which
      • a few common "tricks"
  • proofs: very basic direct, induction, contradiction will do
  • set theory
  • Vectors, limited to R³, line, plane, rotation. Very basic matrices
  • introduction to imaginary numbers
  • stochastics & probability

It's based on my subjective impression of weaknesses in the few Americans studying in Germany that I know.

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