coyotespike comments on The "best" mathematically-informed topics? - Less Wrong Discussion
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Where did you get the Khan Academy image? Could I see the full version?
A dependencies graph would be of great philosophical and practical interest.
After compiling a list of topics, the next step is to figure our what math underpins each one, and order them according to increasing assumed mathematical knowledge.
Sadly, you can no longer see the full version on Khan Academy.
https://khanacademy.zendesk.com/hc/en-us/articles/203353750-Where-is-the-Knowledge-Map-Star-Map-math-overview-
The Exercise Dashboard is not as helpful for highlighting dependencies: https://www.khanacademy.org/exercisedashboard
You may be able to find other knowledge maps; Khan wasn't the first to have the idea. I like Kaj's idea as well. I compared the curricula of several majors at MIT to come up with a core curriculum, useful across engineering, computer science, and biology.