Well, obviously the TEC focuses more heavily on economy than the other races and reaches it's peak before the other races.

The Akkan is a good opener as is the Sova if a rush is needed.  LRM with cluster upgrades are very powerful and will be a significant portion of a late-game's damage.  Later on, you'll also want Kodiaks because they are great at soaking up damage from enemy forces.  Above all else, get lots of Hoshikos.  Those things are incredibly powerful because they have omnidirectional heals (as opposed to the Vasari and Advent healing cruisers that have to turn to face their targets).  Combine that with demo bots, and you've got one of the best cruisers in the game.  You'll probably want to only have ability on autocast for any given ship though because if they have both, their AM reserves will be drained too quickly for longer fights.  Percheron Light Carriers also can come in handy early on for bomber rushes while later on bomber spams are also extremely effective against starbases.  Don't build Krosovs unless you need them.  Last, Cielo cruisers are your best friend when attacking capital ships.  They drastically increase damage done to a single target.  Use them.

For more detailed help, you'd have to get a real TEC player.  I play Vasari about 80% of the time, Advent 18% and TEC the last 2% so... 

It sucks. It never has enough antimatter to use its abilities for long and its stats aren't good enough to justify building it over say a Sova for combat power. Its only use is late game if your opponent is massing a lot of strike craft for flak burst, but you'll need to purchase levels to get level 2 flak burst, and in competitive play they'll likely try to destroy the Kol first so you don't often get a lot of mileage out of it.

Ok, so kols bad and marzas, sovas and Akkans good?

that leaves Dunovs

Exactly.

It isn't as good as the other three, but it has its uses even in trinity. Against the AI its actually pretty good, it can keep your other caps from dying, interrupt and disable abilities with magnetize (as well as damage some strikecraft), and keep down the shield and antimatter levels of important groups of enemy ships. Its ultimate makes all abilities cheap which in your own culture means a spam fest, even the Kol can use its abilities often that way, and its devestating with demo bots.

However, against other humans in Trinity its very vulnerable because it can't heal itself and while useful, none of its abilities alone are enough to turn the tide of battle. Its also the weakest stat wise, so its definitely a cap to make an already strong fleet stronger, not to turn the war in your favor.

In Rebellion, the things are getting a second chance because titans are so powerful its the only cap that can both really boost yours with shield regeneration while draining the other titan with EMP.

OK, here is a question for you who have managed to beat 2 hard ai players. What would you say is a good map for me to achieve this victory? I have been mostly using random small maps and even with pirates turned 'off' I still get my clock cleaned!