Why technical analysis is part of Quant, probably it should be part of Equity? or supplementary notes.
Because it is very numbery but at the same time lacks the fundamental backing that most topics in equity have. In short, it’s quant because it doesn’t fit elsewhere. Also, it cannot be supplementary notes (?) because it is testable material.
Its more of behavior and patters probably like Anti-CFA. 
Yeah I couldn’t agree more! I don’t think it should be included in the curriculum.
why does the sun come up?
Actually, the sun does not “come up”, the earth “rotates”. 
+1
It involves things like moving average which is expected value.
No they don’t like it because its turned out to be rather hard to prove in studies it works.