What is the most generic hierarchy of learning Mathematics? For example, a more descriptive version of the following:

  • Numbers
  • Pre-Algebra
  • Basic Algebra
  • Intemediate Algebra
  • Advanced Algebra
  • Precalculus
  • Trigonometry
  • Calculus I
  • Calculus II
  • So on...

I have found a few questions with a similar title that fails to precisely answer the question.

I haven't found a single page which addresses the hierarchy other than this Quora answer. Can someone fix the hierarchy and add more topics to it. Thank you so much!

  • $\begingroup$ I don't see geometry, sets, or logic in your list of subjects. Also, some things are learned in parallel. I think it also depends on the curriculum. Different states/countries might have slight variations. Plus, it's not clear what's Advanced algebra for example. Is that group theory? $\endgroup$
    – Andrei
    Commented Oct 13, 2020 at 14:30

1 Answer 1


You can try Mathematics Subject Classification at AMS.

See: https://mathscinet.ams.org/msc/msc2010.html

PDF of 2020 classification: https://mathscinet.ams.org/msc/pdfs/classifications2020.pdf


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