Base Class Skills, Levels 1 - 8
Fire Burst is a level 1 skill of the Fire element and costs 3 SP per level to upgrade. It shoots a short-range blast of fire that knocks back enemies and deals fire damage. It's useful to level pre-15, but if you advance as an Elementalist it gets less useful when better fire skills are learned.
Wheeling Staff is another level 1 skill, and is physical damage rather than magical. It costs 3 SP per level to upgrade. Wheeling Staff is a short dash followed by a staff twirl that can hitstun enemies and knock them away. More useful for stopping mobs from attacking you than as an attack skill itself, the more skills you obtain the less you'll ever find yourself using it.
Stiletto Dance is level 1, passive, and has no upgrades. It's just your simple "attack a downed enemy" move. Right-click on a knocked down enemy to stomp on them and deal some damage.
Witch Slap is level 1, passive, and has no upgrades. It's also a simple move -- it's your default right-click attack. It changes depending on your secondary weapon. It's a pre-req for Air Strike, but that's unimportant because you can't NOT have it.
Glacial Spike is a level 3 Ice spell, that costs 8 SP to learn and 3 to upgrade. It shoots a close-range burst of ice at nearby enemies. It does decent damage for a low-level skill and it has a chance to freeze enemies. Frozen enemies can't move and if you hit them hard enough to break them out, they take extra damage.
Blink is level 1, passive, and the 2 SP upgrades make it have a shorter cooldown. It's your default dash. Double-tap or shift-tap a directional key to teleport a short distance in that direction. You avoid all attacks in the intervening space and it's invaluable for escaping mobs of enemies. It's also the pre-req for Power Blink.
Air Strike is a level 4 passive ability that allows you to physically attack while jumping. It doesn't really do much and the SP is better used in other skills.
Toxic Spray is level 5, costs 8 SP to learn and 3 to level. It's Dark elemental, even though it's effect is poison. You launch a few globs of poison in an arc which you can aim up to launch further. These burst on the ground and create patches of damaging poison that can stunlock minor enemies. It can also, of course, poison enemies.
Rising Blast is level 5 and is your standing up attack. Right-click while on the ground and you jump to your feet, blasting enemies away. Invaluable for recovery and escape.
Knee Jerk is level 6. It's the common "hit a stunned enemy" skill all classes get. Right-click near a stunned enemy to do a more powerful special attack on them. Generally not worth it.
Charged Missile is level 8. It changes your regular rapid-fire spell attack into a chargable missile that pierces enemies and deals more damage. Generally not worth it.