Again you guys are confusing permit and notice of commencement. A notice of commencement is required for any project over 2500. There is some exception, but I can't remember what it is..... 1000 for AC?.....not sure.
And the flood management applications are not the same as the building permit either.
Permits are required for any new structural, electrical, plumbing, HVAC, or roofing construction. Carpentry or trim work, maintenance work on any of the previous that does not become covered (by wallboard, etc), paint, roof repair up to I think 100 sq ft., flooring, cabinetry and counter tops as long as no electrical or plumbing gets moved, gutters and soffit, landscape, low voltage electrical, no permits. I'm sure I missed some.