Originally Posted by rumba.mamba
I changed my name upon naturalization (only removed an "a" at the end of my family name in order to match my husband's family name - a common problem with Russian and other Slavic names).
Do I need to change my drivers license and my Social Security card (these are the two documents required when one applies for a passport) before applying for a US passport?
Or I can do it afterward? I would like to apply for a passport immediately after my oath ceremony, but I am not sure whether it is possible with my old drivers license (showing my old name).
Yes. Although you should be proud to honour your heritage by retaining the female patronymic form. Changing it just to suit American norms doesn't make you a better citizen.
Your naturalization certificate should have the new name on it. You can use it to apply for your new passport right away, although the acceptance agent might not let you do so because it doesn't match the name on the DL and SSN.
So you'll probably have to go first to the SSA and update your SS card with your new name. Then go to DMV with your naturalization certificate and updated SS card. Since the SS records have been updated with your new name, and it matches your naturalization certificate, they should update your DL for you.