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, 14 November. 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, 15 November
04:00 - [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, 16 November
20:00 - Fleet Doctrines
Cernnunos Gunn will be joined by former Unista Guillome Renard to talk about fleet doctrines and why they are important. The class will cover what the componants are, how they work, and why they are important.

Thursday, 17 November
19:00 - Intro to Basic Skills
Dunar Dolorgiet will be teaching this class on the so called "Magic 14" skills. What are they ? They are a basic group of skills that will benefit you for every ship you ever fly in New Eden. He will cover the good, the bad and the must haves and talk about training time for these skills vs the benefits.

Saturday, 19 November
03:30 - Amarr Ships 101
Djavin Novienta leads this class on Amarr Ships. This class covers the basics of piloting Amarr ships. Students will learn about Amarr ship design philosophy, fitting, and recommended skills to get the most out of these shiny gold-plated hulls. The class will cover Tech I Amarr subcapital ships, both combat and industrial.

05:30 - How to Make ISK
Are you space poor? Quantum Andomer wants to help you get space richer. He will cover ISK making opportunities in all sectors of New Eden, both Known Space and Wormhole space.

Sunday, 20 November
01:00 - 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.

16:00 - Basic Manual Piloting Practical
PVP is fun, but to mitigate losses you need to get comfortable with it. The best way to do that is to practice. We're going to go over some basic manual piloting techniques that are useful in many pvp situations such as spiraling and slingshotting. Vim Otazka leads this class.
20:00 - [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.