Should I give up on him?

Me and my boyfriend have been together for a year and lived together for 6 months. About 8 months in he got angry in the club thinking I was flirting with blokes- I wasn t. He said to come here or I ll smash your head in. I went to find him and I was quite angry. He ended up grabbing me by the throat up against the wall.
I forgave him and put it down to a one off. A week ago we had an argument after he came in drunk accusing me of cheating because he heard a rumour. Again this wasn t true but didn t believe me and again grabbed me by the throat. A few days later we had an argument so bad he slapped me round the face. I called my friends and they called the police. He was arrested and I moved all my stuff out. He s apologised over and over and said he s going to go to anger management. He wants us to try again and get the spark back but he also wants me to understand that it s partly my fault because I make him so angry. We were having a rough patch in between all this as I never feel good enough.
I love him so much but don't know what to do?