Precocious Apprentice
Your master has shown you the basics of a spell beyond the normal limits of your experience and training.
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Prerequisites: Int 15 or Cha 15, arcane spellcaster level 1
Benefit: Choose one 2nd-level spell from a school that is not barred to you. You can cast that spell once per day. In effect, you have an extra 2nd-level spell slot that must be used to cast the chosen spell, and cannot be used for any other purpose. If you cannot cast 2nd-level spells yet, you must succeed on a caster level check (DC 8) to successfully cast the spell; if you fail, you miscast the spell to no effect. Your caster level with the chosen spell is your normal caster level, even if this is insufficient to cast the spell under normal circumstances.
When you become able to cast 2nd-level spells, you lose the previous benefit described above. Instead, you simply have an extra 2nd-level spell slot, which you may use to prepare (or spontaneously cast, if you are a spontaneous caster) 2nd-level or lower spells as you normally would.
You also gain a +2 bonus on all Spellcraft checks.
Special: You can only take this feat as a 1st-level character.
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Focused Specialist
Replaces: You lose one spell slot from each level of Wizard spells you can cast. Etc.
Benefit: You can prepare two additional spell slots of your specialty school per spell level each day. The extra spells are in addition to those normally granted to a specialist Wizard.
This benefit doesn't apply to spells gain from classes other than Wizard.
Ok, due to a loop hole in the wording of PA, a Focused Specialist Wizard with that feat loses the spell slot it grants and receives two spells of his specialty school in its place. Normally, you wouldn't be able to use that slot for anything but casting that one spell, but losing something is not using it, so fair play here. And due to the fact that you now have 2nd level spell slots that aren't granted by bonus spells, you can now cast them freely. And since they are not the slot created by PA, you don't have to make a caster level check to cast them. This is a loophole cause only by a literal interpretation of the English language, and one hell of a loophole.