learning math

2 min read

the why

  • transferable skill to physics, cs and finance
  • competence inoculation - fights against the brainrot in the world right now
  • epistemic hygiene
  • its fun and it’s like a game; there are levels and very clear metric to know where you are
  • unifies my understanding across physics, cs, philosophy, econ etc; math is the general language
  • modeling, optimization, control, data intuition

study guide

resource map

in my personal case, my foundations are fucked up because i did not pay attention to anything in highschool, so im gonna spend a solid chunk going through precalc and trigonometry from khan academy before i start with the actual shtuff

khan academy:

  1. trigonometry
  2. precalc
  3. statistics and probability
  4. differential calculus
  5. integral calculus
  6. multivariable calculus
  7. differential equations
  8. linear algebra

then after this ill learn about

  1. real analysis
  2. complex analysis
  3. partial diff eqns

weekly logs

[
  {
    "timestamp": "2025-10-02T04:29:37.693Z",
    "message": "i bought mathacademy ( monthly sub )\n\nselected the mathematical foundations II course.\n\nnow im working through their placement exam"
  },
  {
    "timestamp": "2025-10-04T04:29:42.164Z",
    "message": "still working through the placement test, its taking forever.\n\ni remember learning most things but had trouble recalling some of the information -- mostly the ones related to remembering formulas like for the trig ones, a few equations etc"
  },
  {
    "timestamp": "2025-10-11T04:31:18.887Z",
    "message": "dang i did not expect to take THIS long to finish that placement test.. but yeah i cleared mathematical foundations I and half of math foundations II\n\nwhich is kinda shitty considering i did calculus in college but actually forgot most of the basics\n\nit's going to be fun to go through them  -- i love that there's a ranking system and xp and easy to select lessons to learn from everyday!"
  },
  {
    "timestamp": "2025-10-23T09:34:01.521Z",
    "message": "ditched mathacademy, just doing khan academy courses + textbook problems after im done with a certain topic. slowly building up volume -- starting with just 15m a day and increasing by 15m chunks at a time.\n\ngoal isnt to have 3 hour days then 2 weeks of gap. but try and get to 1.5h hours a day everyday with consistency."
  }
]

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