Hi everyone, I'm new to the site, and I am looking for some opinions of people who have gone through this process before. I'm at the point in my freshman year where I should be choosing a definitive college major (and building a schedule around it). Currently, I'm a biomedical engineering major at a good (but not great) public state school. I think that the College of Engineering as a whole is consistently ranked around #10 overall by most of the ranking sites I've seen. This college also has a pretty good business school, but it's definitely not at the top in anything (except maybe in accounting).
I had some pretty good grades and credentials in high school (I got into some selective schools like Duke and Caltech), but I eventually chose this state school because of price. I expected to get a graduate degree in engineering after completing my undergraduate work. However, I don't really want to be an engineer. I want to work in some type of business-related field (like maybe in PE, HF, or consulting; although I'm probably not smart enough to be one of the quant guys), and I expect to get an MBA in the future. My question is: if I graduate from this decent state school, what are my chances of landing a job that will help me get into a top MBA program, especially compared to an Ivy (namely Harvard or Wharton)? Would an engineering major (from a lesser school) help me or hurt me into getting one of these jobs, compared, to say, a finance degree from Wharton, or an econ degree from Harvard?
I have a pretty good high school record, and I feel that I would have a decent shot at transferring into these Ivy schools for my sophomore year. I guess the crux of this post is me asking whether the name of a college matters all that much for setting me up for a solid (GSB, HBS, Tuck,...etc) MBA program. I'm also assuming that an MBA from one of those schools would allow you to get a job in something like PE or HF (if it doesn't, please say so).
Thanks for your response, and if you have any questions, feel free to ask.