Yes. I am that much of a nerd.
1x01 -
October 19th, 319(1)
1x02 -
October 20th, 319(1) [The Cadets get their room assignments shortly after The Doctor assigns them to care for a single specimen of self-replicating mucus for five days]
October 24th, 319(1) [The Betazoid Delegation arrive, this is within five days of the Cadets receiving their assignments to care the self-replicating mucus (the mucus seems to vanish after this, so have placed this on the fifth day - a Friday)]
October 25th, 319(1) [A banquet is held in honor of the Betazoid delegation]
October 26th, 319(1) [The agreement for Betazoid to join the Federation and Federation HQ to relocate there is brokered]
1x03
November 10th 319(1) to c. November 14th, 319(1) [ Stardate 868858.7, it has been three weeks since 1x01/1x02)
1x04
December 11th, 319(1) [ 868943.8, it's three days into the mission to the Val Nebula)
1x05
January 17th, 319(2) to January 24th, 319(2) [dialogue states that it has been 96 days since 1x01/1x02, episode takes place over a week]
1x06
Late February/Early March, 319(2) ["I haven't been off this ship in six months ..."]
1x07
Late March/Early April [it has been 32 days since Caleb spoke to Tarima]
1x08
May 16th, 319(2) to c. May 29th 319(2) [ Stardate 869372.1, "What took us two centuries to build, you killed in 209 days ..." (the visit to Kasq is on May 17th) and Stardate 869408.67 - it has been several weeks since 1x07 ("The patch the holo-engineers made has been failing for weeks ...")]
1x09
August 13th 319(2) [The 300th Day, most of the events seem to happen on the 14th August though]