Since password managers are big and complicated and I currently am pretty bored since I am sitting in a car for a few hours, here is a simple algorithm to generate resource-specific, unique passwords using a master password and no password database.
It is 00:23 local time and I spent the part of the last night that I slept on a couch with loud music playing, so I would recommend you not to rely on my brilliant mind to produce a cryptographically secure algorithm at this time. I would, however, appreciate any comments and especially improvements of this algorithm. The first person to find a flaw has the honor to name the algorithm.