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, 17 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, 18 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, 19 October
07:00 - Introduction to Mining the and AMC
Paragot Bezier will tell you all you need to know about gathering resources. Without the miners, there'd be no ships to get blown up. Come and learn all you need to know about efficient mining, then stay to learn about the Amarr Mining Campus.

Friday, 21 October
19:00 - Introduction to Bookmarking
Want to know how to get into or out of a station safely even if there are a dozen bad guys waiting outside? Join Ezenla Amphitrite and find out all you need to know.

Sunday, 23 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, 23 October
16:00 - D-Scan 101/102
This is a class on the functions and uses of the Directional scanner - often called the "d-scan". There is a large amount of information stored in the scanner, and it can be overwhelming if you don't know what your looking at. The d-scanner has a wide variety of uses that can be used even by total beginners. This class teaches the fundamentals of using this tool in a format easily understandable by the newest of EVE players. Guest Lecturer Kora K returns to teach this class.

Sunday, 23 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.