If a Ftr1/ Wiz 5 / EK 1 takes the second level in Eldritch Knight, does he gain two new spells "automatically"?
The PRD says that when a Wizard gains a level, he does learn two new spells:
At each new wizard level, he gains two new spells of any spell level or levels that he can cast (based on his new wizard level) for his spellbook.
The PRD says something different for the Eldritch Knight:
Spells per Day: At the indicated levels, an eldritch knight gains new spells per day as if he had also gained a level in an arcane spellcasting class he belonged to before adding the prestige class. He does not, however, gain any other benefit a character of that class would have gained, except for additional spells per day, spells known (if he is a spontaneous spellcaster), and an increased effective level of spellcasting.
That seems to me that the wizard learns two new spells when he gains a level but the Eldritch Knight based on a wizard does not, since a wizard is not a spontaneous spellcaster. Is that an error in the text? Or is that by design?