Alteration

Novice

• Crumple Armor
Drains some of your Magicka and lowers the target's armor based on the amount drained.

Apprentice

• Spelltwist
Converts a beneficial spell into its harmful opposite and applies it to the target.

Adept

• Locus of Meditation
Summons a floating platform to meditate on, improving your equipped buffs.
• Usage Notes
When this spell is cast it creates a platform below you. Equip the same beneficial spell in each hand, then activate the platform (default 'E' key). This will cause you to kneel on the platform with the spell visuals hovering in front of you. The longer you wait, the stronger the eventual spell will become. To release it, press your activation button again. The spell will be cast on you automatically with its increased power and duration.
(Example 1) (Example 2)

Expert

• Spark of the Demiurge
Increase the effectiveness and cost of up to 3 spells.

Conjuration

Novice

• Deliver Unto Oblivion
Destroys a corpse, increasing Conjuration power based on its negative Health.

Apprentice

• Conjure Shimmergeist
Ghost minion whose weapon is enchanted with the offensive spell in your other hand.

Adept

• Conjure Mirror Specter
Ghost minion that always mirrors the stats of its target.

Expert

• Unbreakable
Heals a conjured minion and increases its attack damage based on missing Health.

Destruction

Novice

• Death Arc
Blasts a target. If cast on a corpse, the next shot deals damage based on its negative Health.
• Usage Notes
A normal cast on an enemy will deal the base spell damage. However, if you first cast this spell on a corpse that died a violent death, then your next cast of Death Arc will include bonus damage based on any excess damage that corpse experienced upon death.

Apprentice

• Morphing Blast
Raw magic attack that inherits the damage and duration of the next spell to hit the target.

Adept

• Sorcerer's Bane
Drains some of your Magicka and deals damage based on the amount drained.

Expert

• Raw Force
Inflicts arcane burns on nearby enemies, greatly increasing your next spell damage within a short period vs them.

Illusion

Novice

• Reveal Detection
See who is detecting you and who is not.

Apprentice

• Scorpion Sting
Damage over time to a target that is not detecting you.

Adept

• Iron Maiden
Curses a target to take temporary damage whenever the target becomes affected by an Illusion spell.

Expert

• Dim Vision
Nearby enemies have a harder time spotting you while sneaking.

Restoration

Novice

• Sense Vitals
Reveal the target's stats and resistances.

Apprentice

• Compost
Destroys a corpse, healing you based on its negative Health.

Adept

• Tyrant's Tithe
Replenishes your Magicka by draining all nearby allies of Magicka.

Expert

• Sacred Union
You and target both regenerate Health, Magicka and Stamina when you're near each other.

Scroll-Only Spells

Master

• Aedric Blast (Destruction)
Deals damage based on the number of mods you have installed. :P