Ahem. No self-tech bursts? HA.HA.HA.HA.
A) Human engineer has TWO. Tech and Fire. Also, Fire Explosion deals almost twice the damage of a biotic explosion AND burns enemies. Tech burst is incredibly easy to setup, so you just suck.

Quarian Engineer has Cryo explosion and, if there is anything with a damaging power (guess what, e-v-e-r-y-o-n-e else) also has the Fire explosion.
C) Salarian Engineer: same as human. With the added benefit that Overload and ED stack, spamspamspam FTW.
D)As I said, any damaging power detonates a tech burst. Oh, yes, this means a Batarian Sentinel who has at least one point in shockwave, can detonate its own tech burst too!
And if you think the Asari Adept is OP, you haven't seen neither the Kroguard, nor a good Drell Adept against reapers, nor a half decent Novaguard, nor... hey, guess what, most classes are balanced, some just have the added need of aiming at the enemy and not "herp-derp-I-has-seeker-missiles". Well, on a side note, on PC at least Warp seems to miss a lot, even being host. It happens to all my friends too, anyone else having that problem?