How do I get my macmini to work faster? I am getting tired of looking at the tiny multicolored spinning ball.

Which model of mini is it? You are running 10.4.4, so it is an older machine - is it an a powerPC G4 or an early intel model?

How much RAM do you have? The early mini's I think only shipped with 512Mb RAM, although the 2006 first gen. intel could take up to 2Gb. If you look at your memory use you can get a sense of how much disc swapping is going on (look at page outs). If your machine is disk thrashing a lot because of limited memory, then adding more memory can improve performance (otherwise it is pointless adding RAM to a system that is not limited by available RAM).

Other than that you are pretty limited in what you can do - the cpu is what it is, as is the disk, motherboard and firmware. If your machine is old enough that it shipped with 10.4, then it is upwards of 7 years old, so really, the only way to gain substantial performance imporvements when using up-to-date software is to get a newer machine.

Slowness may have many causes, give details about model, free disk space, RAM installed, applications set to start up at login. If all these are OK, and RAM is sufficient, you may have a dying disk.