Has anyone else had this side effect?

I've been diagnosed with depression and prescibed Prozac. It treats the depression symptoms, I generally feel like I am in 'a good mood', and physically, I am depression-free: I eat better and sleep better. BUT, I have noticed that when something upsets me or irritates me, no matter how mundane or insignificant, I completely overreact and get violently angry very fast. I have always been an easy-going, pive person, but lately I am angry alot and have violent and even homicidal thoughts, though of course I have not acted upon them. I believe this may be a side effect to the Prozac, and if it is, I will discontinue immediately. Is this merely a side effect, or another mental disorder that just so happened to manifest around the same time I started the medication? And if you believe it's a side effect, have you or someone you've know experienced these things?