I am learning Math and Physics after a long break. I found putting together the sequence of things I need to learn has been quite difficult.
Several times I found I had spent a lot of time on something that was not really needed. This is particularly the case with Math as a prerequisite for physics. The mathematicians seem to want you to learn a lot more Math than you need eg Rings, Category theory and Topology may be useful for physics at some stage. But not for me yet.
Conversely I found that I was short on some unexpected topic once or twice eg Linear Algebra was in one case not listed as a prerequisite but would have been very useful.
Others have commented on various difficulties in coming up with a single dependency graph. I do think you have underestimated the difficulties of this.
Overall this post is a bunch of plausible ideas but in need of a) More research on the state of the art b) A test in a real learning situation. It is a cliche in the startup world that ideas are cheap, tested ideas with proof by execution are potentially far more valuable.
I am learning Math and Physics after a long break. I found putting together the sequence of things I need to learn has been quite difficult.
Several times I found I had spent a lot of time on something that was not really needed. This is particularly the case with Math as a prerequisite for physics. The mathematicians seem to want you to learn a lot more Math than you need eg Rings, Category theory and Topology may be useful for physics at some stage. But not for me yet.
Conversely I found that I was short on some unexpected topic once or twice eg Linear Algebra was in one case not listed as a prerequisite but would have been very useful.
Others have commented on various difficulties in coming up with a single dependency graph. I do think you have underestimated the difficulties of this.
Overall this post is a bunch of plausible ideas but in need of a) More research on the state of the art b) A test in a real learning situation. It is a cliche in the startup world that ideas are cheap, tested ideas with proof by execution are potentially far more valuable.