I can recommend the Stanford "Introduction to Databases" course https://www.coursera.org/course/db

I took it when it was first offered online in 2011, and really liked it. My review of it is here: http://henrikwarne.com/2011/12/18/introduction-to-databases-...

UC Berkeley has CS 186, but it approaches databases from a theoretical perspective rather than about how to use them.

https://sites.google.com/site/cs186fall2013/

Wow! This is a gold mine. Lecture notes, project code (SimpleDB) and assignments are all available. I'll add this to the list! Thanks :)

Pretty much any UC Berkeley course is like this; check out the archives for the intro CS class, cs61a: http://inst.eecs.berkeley.edu/~cs61a/archives.html

Here's a listing of all the different classes and their archives: http://inst.eecs.berkeley.edu/classes-eecs.html

I second Henrik's recommendation. Apart from the one he listed, there is no other database course available online that I'm aware of.