no it does not
when making a muliclass character the magic number is 4
every 4 class levels = feat so mage 4 = feat but mage 3 and sorcerer 1 = no feat... if you take sorcerer levels to get that extra feat then your mage will not end up getting those bigger spells


Luke Skywalker: I don't, I don't believe it.
Yoda: That is why you failed.