We did both discrete and continuous Bellmans in my program. 

I think you explained it well but I also have studied these as though my life depended on it.

Undisciplined

I remember learning discrete time Bellman equations in my phd classes, but not continuous time ones.  I think I had to look those up later, despite a lot of important applications, like bitcoin mining.

math

bitcoin

Bitcoin Math Primer: Bellman Equations and Bitcoin Mining

SimpleStacker

Hopefully you could follow the math?

I remember learning discrete time Bellman equations in my phd classes, but not continuous time ones.  I think I had to look those up later, despite a lot of important applications, like bitcoin mining.