How about the year before that? | Did you mean which college conferred the most number of degrees in 2003? | Yes
SELECT t1.campus FROM campuses AS T1 JOIN faculty AS T2 ON T1.id   =   t2.campus JOIN degrees AS T3 ON T1.id   =   t3.campus AND t2.year   =   t3.year WHERE t3.year  =  2003 ORDER BY t3.degrees DESC LIMIT 1
year before that refers to a specific year, in this case, 2003; college that conferred the most number of degrees refers to MAX(degrees); joining tables campuses, faculty, and degrees is necessary to relate campus to degrees conferred;