Level 1:
Level 2
Level 3:
Level 4
Level 5
Level 6:
Level 7
Just as a note, Level 7 is fairly lack luster for a wizard, not many of the spells are particularly strong apart from, another spoiler:
Level 8
Another fairly meh level however * Wall of Many Colours: Pretty good spell if the enemy runs through it multiple times. The effects are quite varied but do good damage or can inflict strong debuffs. * Kalakoth's Freezing Rake: Not a bad spell, it does nice damage and there's not a lot of competition this level. * Wilting Wind: it does raw damage so worth a mention, it's not amazing but nothing particularly is this level.