If trying to ensure that you make an informed and realistic choice about your education, and its impact on your choices down the road is annoying, I guess that my parents were annoying, too.
Also, count me as an annoying parent at the same time. I still think that my oldest son should have spent his money on something other than a tattoo apprenticeship, but that's just me being annoying, I suppose.
My parents were not wild about my grandiose ideas, either. When it came time for college, there was no money. I went into the military instead. I hold my military training in very high regard...I learned some really useful and interesting things, and I also worked for the military as a civilian for 5 years.
I could not buy a job in either the IT or general programming industries right now. It is more frustrating to feel qualified, and be ignored than to do a job that you might not like very well.
Do I regret not getting a degree? Oh, yeah. Everytime I take a job for minimum wage, working for someone that is younger than my wardrobe and getting nowhere fast...you bet I regret it.
I also have correspondence school, NRI Electronics Circuit Design to be precise. Graduated with highest honors! That was pretty worthless to my career, too.
You are annoyed that your parents don't see things the way you do. That's not their job. All of this talk about ignoring them is not productive. You should seek a more productive dialog with them, imo. That will indicate that you are serious more than getting emotional about it, or calling their judgement into question will. I assume that your parents truly care about you. Perhaps they are not as savvy as you'd like, but they are expressing their concern for your future well-being. Things could be far worse than that.
One last thing...you will not be able to program very far into a game without smokin' math skillz, and physics will be out of your reach, as well.
You seem like you are passionate and committed, but let me just leave you with what my Father told me long ago:
Life is like a 5#!t sandwich; the more bread you have, the less 5#!t you have to eat.
He also told me that I was as useful as a Japanese typewriter once.
He is not annoying at all, either.
