Couple of things:
The very first AP poll was actually released on November 15, 1934.
http://www.collegepollarchive.com/football/ap/research/1934-11-15_poll.cfm Minnesota was #1 in that one, too. The poll didn't become weekly and regular until 1936.
The anniversary of the first weekly AP poll was yesterday, not today.
http://www.collegepollarchive.com/football/ap/seasons.cfm?appollid=1 In the first year, Minnesota was #1 each of the first two weeks, until they lost to #3 Northwestern 6-0 in Evanston. Northwestern took over at #1 as Minnesota dropped to #2. It stayed this way until the last week of the season, when Northwestern lost on the road to #11 Notre Dame 26-6. They dropped all the way to #7, while Minnesota rose back to #1 after pounding unranked Wisconsin 24-0.
Interestingly, while Minnesota won their third straight national title in 1936, Northwestern was the Big Ten champion. In fact, 1936 was the only year in a 6-year stretch (1933, 1934, 1935, 1937, and 1938) in which Minnesota didn't win the Big Ten. They went 25-2-4 in the Big Ten during this period, and after a one-year hiccup (3-4-1, 2-3-1) in 1939, won two more national titles in 1940 and 1941 with perfect (8-0, 5-0) records each year. In other words, between 1933 and 1941, a period of nine seasons, Minnesota won 5 national titles and 7 Big Ten titles.