The following was taken from this weeks EVE University public mailing list which you join in game by signing up to ?Classes.E-UNI?.
The primary purpose of EVE University is to teach new (and old) players about the basics of life in EVE and various aspects of game play. To that end they hold regular classes, both theoretical and practical, in order to accomplish this goal. You can find more information on how to join their classes on their website. If you are unable to attend a live class due to time zone differences, you will also be able to find transcripts of their classes as well.
Please note that most of their classes are public! You do not need to be a member of EVE University to join!
This is a preliminary overview of University classes scheduled for the week of Monday, 03 October. All dates are subject to change at the discretion of the lecturer and/or teaching staff. All times are specified in EVE time. All classes are open to the public unless specified otherwise.
 
Tuesday, 04 October
03:00 - [Q&A] Game Mechanics
Professor Seamus Donohue offers the first of his twice weekly Q&A Sessions on EVE Game Mechanics. If you've got EVE related questions, bring them along and he'll answer them for you.

Wednesday, 05 October
02:00 - Wormholes 100/101
With apologies for the class on this topic I had to cancel last week, we're getting it back on the schedule this week. Now that you've discovered a wormhole (see Exploration 101), you need to know a little bit more about them if you don't want to quickly find yourself dead. Join me, Rorhke Shardani, as I introduce you to wormholes. What they are, where to find them and how to survive in them.

Thursday, 06 October
15:00 - Mining and the AMC
Paragot Bezier leads this class that will tell you all about how to gather resources. Everything you fly or buy is built on the back of hard working miners across New Eden. If you're going to mine, learn how to mine efficiently in this class. Also includes a brief introduction to E-Uni's Amarr Mining Campus.

Friday, 07 October
01:30 - Fleets 101
Are you new to the Uni or to EVE in general? Interested in joining the crazy folks of the LSC and NSC for some explode-y mayhem? Feeling a bit confused by all those terms and jargon you hear in Mumble? Well this is the class for you!!! Fleets 101 is designed to go over EVE University fleet formation and function. Proper formation etiquette is explained as well as the basic fleet commands one can expect in a uni fleet. Reise Amatin will be your Fleet Commander.

Friday, 07 October
23:00 - PvP Dynamics
PvP is on everyone's mind. Lets get to it and Kill them ALL... 1 hour session on PvP Dynamics and various aspects of PvP. This class is followed by Noobs on Patrol. Rudra Som leads you into glorious battle.

Sunday, 09 October
02:30 - Introduction to EVE University
This is a class for new Unistas, pilots looking to join E-Uni, or anyone curious about how the Uni runs. All are welcome. Braan Cadar instructs.

Sunday, 09 October
19:00 - [Q&A] Game Mechanics
For the second time this week, it's time to play "Stump the Prof". Bring your questions to this session about EVE Game Mechanics and let Professor Donohue answer them. It's office hours and the Professor is in!

That's all as far as the current schedule goes. As always, all classes can also be found on the EVE University calendar. For information on how to join EVE University, please see Applying to EVE University. If you wish to contribute to the University by hosting classes of your own, please see Joining the Faculty.