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 here. 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!

Monday, 23 May
19:30 - 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 pilots welcome. Torr Victros will be your instructor.
Tuesday, 24 May
03:00 - [Q&A] Game Mechanics
Join EVE University's resident master of all things EVE, Professor Seamus Donohue as he answers your questions on EVE and how it's played. The first of two weekly Q&A Sessions on Game Mechanics.
Tuesday, 24 May
17:00 - Project Discovery Introduction
HPA Illuminator be teaching a Guest Lecture about Project Discovery (as one of the scientist working in Prof. Lundberg's group). This will be a very introductory class aimed at players new to Project Discovery and players who are struggling to correctly analyze samples in Project Discovery.
Tuesday, 24 May
18:00 - Project Discovery Advanced
HPA Illuminator will be teaching a Guest Lecture about Project Discovery (as one of the scientist working in Prof. Lundberg's group). This will be an advanced class aimed at players who have been analyzing samples in Project Discovery for a while and/or players who have questions about Project Discovery.
Wednesday, 25 May
02:30 - Mining 101
Mining. Some say it's dull and boring. Maybe that's true. However, without the miners, all those ships you love to fly would never get made. Join me, Rorhke Shardani, as we go over how to gather the resources you need in order to make the ships that make other ships go boom. We'll talk ore, gas and ice.
Thursday, 26 May
17:00 - Introduction to the LSC
Ever wanted to sing this song out loud on the comms while ships explode right and left? Did the high-sec life became stale for you or do you want to learn about Low-Sec Space & its mechanics? Even if you're not interested in PvP, but want more exciting and lucrative PvE opportunities, LSC has only the recruirement of being willing to join and blap some ships. Join Ounar Zanok on this epic class of piracy.
Friday, 27 May
23:00 - PvP Dynamics
PvP is on everyone's mind. Lets get to it and Kill them ALL...
30-45mins session on PvP Dynamics and Fleet Operations
This class is followed by Noobs on Patrol...
Everyone is welcome! Rudra Som will be your Instructor and Fleet Commander.
Sunday, 29 May
19:00 - [Q&A] Game Mechanics
The second weekly Q&A session on how the game works with Professor Seamus Donohue.
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.