I want the differences between the two, followed by their definitions?
Anger refers to a mental state. Violence usually refers to a destructive or harmful physical action caused by an angry mental state. Both are originating from the defilment called Dosa(aversion).
I just found a sutta about angry men and women
I'm not sure what "violence" is (i.e. what word it is, whose definition you want). There is a chapter in the Dhammapada whose title is translated as Violence, that's the Daṇḍavagga in Pali, i.e. "the chapter about daṇḍa" -- see a definition here.