I don't know whether to carry on my relationship

I've been together with my girlfriend for almost 11 months and I try very hard to always make her the happiest she can possibly be, but she only seems to appreciate it a fraction of the time, and when an argument happens, I get treated like I don't do anything for her at all. I don't believe it's right to make calculations of who does more for the other person but lately I've just lost my patience with her. She shows me love but she is massively jealous, for which she has no reason. I've never cheated on her or come close. I know it's a cliche but I firmly believe the phrase 'a boy makes his girlfriend jealous of other girls, a man makes other girls jealous of his girlfriend' and thus I've never flirted with anyone or behaved in a way that I wouldn't when she was present. Despite my having been screamed and shouted at on numerous occasions for trivial stuff such as not hearing my phone when I was on a night out for a university social or staying in the same house as a girl who my friend was seeing, I tolerated it for a long time believing she would change, as she would cry and apologise every time, promising it would never happen again. She seems to have no tolerance for the smallest of my mistakes and can't seem to realise, no matter how many times I tell her, that she makes these kinds of mistakes too. Whenever these incidents would happen she would swear at me and call me a pr*ck and other such stuff. As of late, however I have completely lost my patience and am on the verge of breaking up with her. For the first time in my life I have been pushed so far beyond my patience that I have screamed and shouted as loud as I could but still held on to my patience enough to not call her any names. I have told her I'm breaking up with her on a couple of occasions but she's always convinced me not to by crying and begging me. I do love her but I don't know if I should be putting up with this. I wouldn't describe myself as insecure but I do question myself a lot and she seems to lack this quality. This seems to always end up with me compromising and her still defending her actions to some extent to the last moment, even when begging me to forgive her. I've made changes in myself such as not allowing myself to get jealous or overprotective very early on in the relationship because I've always trusted her and things have come to a point now where I expect to see a change from her. She has come some way in not getting as insanely jealous as she did but it still persists and she tells me it's because I get funny about telling her when I've been around other girls. Though the only reason I get funny about it is because of her past behaviour and my fear that a really nice day might just suddenly turn very sour. When something upsets her, that sets the tone for a build up that eventually breaks into an argument, and I no longer have the patience or tolerance to take it so I end up getting very angry, very quickly, which most often results in a shouting match before me just leaving and going home. I'm always happy to help her with anything from cleaning to university work to cooking to meeting her when she gets off the bus to walk her home at night after work, and while she does similar things for me, she expects me to do these things as if it were my job whereas I don't expect the same from her. Although she can be very unreasonable and aggressive I know that she would never cheat on me. She is a good girlfriend when we're not arguing but it takes so little to set her off and for me it's just tiring trying to be the one who always sets the example with little return. If there are guys she's around that make me jealous I won't say a word because I don't want to ruin her day, because I know I've got nothing to worry about but she doesn't seem to have the same trust in me. She was treated very badly by her last boyfriend and he often cheated on her but she still doesn't seem to understand that I'm not him after almost 11 months together. She's slapped me twice in arguments so far and that is something that I really have no tolerance for. I would never hit her and I expect the same from her. She just seems to take disputes to such a different level and when it takes so little I don't know if I have any future with her. I know I've written loads but I didn't want to misrepresent anything. It's so difficult to make a decision on this subject because the times that are good are amazing but the times that are bad cripple me because I'm so upset. And the frequency of these arguments being once or twice a week makes me question whether I should just cut my losses and move on. I really do want to be with her as we've shared a lot and we're very attached to one another but I don't want to become the pushover guy who doesn't even get respected by his girlfriend, since that would mean I am not valued and appreciated.