Core Skills for all Pilots;

ENGINEERING:
Power Grid Management 5 - Max Power Output
CPU Management 5 - Max CPU Output
Capacitor Management 5 - Max Capacitor Capacity
Capacitor Systems Operation 5 - Max Capacitor Recharge Rate
Energy Grid Upgrades 5 - Reduce CPU requirements
Shield Operation 5 - Max the rate at which the Shield Recharges
Repair Systems 5 - Be able to operate the best armor/hull repair modules
Thermodynamics 5 - http://wiki.eveuniversity.org/Ov
EHP:
Mechanics 5 - Max Structure Hitpoints
Hull Upgrades 5 - Max Armor Hitpoints
Shield Management 5 - Max Shield capacity