[Archmage1]

5 1 5 2 4 3 4 4 3 5 2 6 1 7
1st

Spoiler

Obscuring mist: Aoe fog centered on self. Handy at times
Grease: What is not to like?
Comprehend Languages: So you can read all the loot(wand/scroll)
Detect Secret Doors: No hidden loot(might want to wand it as well)
Charm person: Can be handy for a tight situation
Identify(get an artificers monocle, and 5 ranks in Arcana.)
Shocking Grasp/Magic missile(flavor vs usefulness)
Silent Image(Must Have)
Feather fall(wand, or item)
So, given 5
Obs Mist
Grease
Silent image
Charm Person
either of the offensive ones
Note: You are missing shield/mage armor. Defence is nice, so you could replace the mist with shield

2nd

Spoiler

Obscure object: Keep the loot hidden(scroll or wand)
Fog Cloud: Fog at choice location. Nice
Glitterdust: anti-stealth, and blind.
Web: Another good BC control
Locate Object: Find a specific item
See invis: When you need it, you really need it(wand/item)
Gust of Wind: Flavor
Alter Self: Incredibly handy
Recommendations
Fog Cloud
Glitterdust
Gust of Wind
Alter Self
invisibility

3rd

Spoiler

Dispel Magic: A must have
Sleet Storm: Handy, plus flavor
Fireball(if fire doesn't solve your problems, you didn't use enough of it
Lightning bolt(required)
Fly: You are a caster, therefore, fly
Haste: Never hurts
Recommended
Dispel, fly, haste, lightning bolt
This is where sorc kinda feels sad. 3rd has one hell of a lot of good stuff

4th

Spoiler

Black Tentacles: Awesome
Solid Fog: Awesome.
Scrying: you wanted divination.
Ice Storm: flavor. Kind of sucky, but still. Blast. you might want to find a better spell than this.
Polymorph: Brokenly good
Yes, I am missing out on some good stuff, but, well not enough slots
Polymorph, solid fog, scrying(make sure to get component), ice storm

5th

Spoiler

teleport: Must have
Dominate person: Solves so many issues
Wall of force: wall can be nice.
cacophonic burst
prying eyes: Divination, situational
Freezing Fog: Must Have
Recommendations
Teleport, Freezing Fog, cacophonic burst

6th

Spoiler

Freezing sphere: freeze a large area of water.
chain lightning: Flavor
Disintegrate: Handy, more support than damage
Recommendations: freezing/chain and disintigrate

7th

Spoiler

Control Weather: Flavor, but on a boat, very handy

Seriously, you are wanting too much out of a sorc. They can be a good blaster or a good BC control, but not both. Divination is situational. If you want to have good divination, you want to be a wizard with spontaneous divination.