DoT is "Damage over Time", a spell that does damage, generally over the next three turns, and sometimes also on the given turn. For example, Fire Elf is a DoT spell. It does 50 damage on the round it's cast and 70 damage on each of the next three rounds. Damage over Time spells are good for breaking and preventing the effective use of shields.
AoE is Area of Effect, a spell that does damage to all enemies. Examples would be Storm's Tempest, Ice's Frost Giant, and Balance's Sandstorm.
as the title says i have heard these words in like every topic. what do they mean? i really want to know x. x
aoe means area of effect which is an attack that damages all enemies and dot means damage over time you should know about these when you talk to the fire teacher in ravenwood for the ravenwood tour quest you get at level 2 but in case you don't a dot is an attack that keeps hitting the opponent for 3 rounds the simple fire elf spell you can get at level 5 is a dot you should try it out.