I am a senior in high school and having a hard time deciding where I want to go for college. I will definitely pursue math as I love the subject. I've done some research and OSU seems like a very good school for undergraduate math. But the problem is that it's very expensive. My parents have put away a lot of money into my college fund though so if i were to attend OSU for 4 years it would put me about 40000 dollars in debt.
My question is would it be smart and doable to go to University of Cincinnati (a local college I can commute to) for two years or so and then transfer to Ohio State? That would put me closer to 15 thousand in debt after college. I also really want to go to grad school and go after my phd in the subject but that would put me so in debt afterwards that I dont know that that would be a good idea.