How do I enforce boundaries? Please help

My partner and I have Have recently had a daughter and have moved in together. Normally everything is great between us but there is one issue driving a massive wedge between us. He swears at me when mad, he says this is the way he talks to everyone so I shouldn't be offended but I am. I find it really disrespectful and hurtful. He usually apologizes but then goes right back to doing it a few days later. What do I do? I have thought about when he swears at me not speaking to him for the rest of the day but is this any different to using the silent treatment? I know from past experience how hurtful that is so don't want to do it to my partner. The issue is further complicated by him raising his voice to me in arguments and calling me nasty names when I bring this to his attention he seems to think I am behaving in the same way (I am not) or he thinks what I did to annoy/ upset him justify his actions. He often gets upset by me telling him what to do. For instance I tell him it is irresponsible to stay up until 4am on his laptop when we have a 5 month old baby. He says if it doesn't stop him waking up at 9am and being a good parent then I shouldn't try and stop him. He thinks I am being patronizing, so maybe if I stop being so naggy about this and other issues it will help?

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