<p>You say that “engineering does not sound all that exciting” to you. Listen to what you said. Perhaps you don’t really have a good grasp of what various kinds of engineers do or what goes on in engineering research. You should try to explore it by involving yourself with engineering programs for high school students. Look on the website for the NSPE (national society of professional engineers) or your state branch of that organization. They do lots of things to help high school students, who have very little practical knowledge, to understand what engineering offers.</p>
<p>On a different note, it is always much easier to transfer from engineering to math than to transfer from a math major into an engineering program. Check that out with an admissions counselor at a few colleges you are considering. If you are starting out in any calculus course, I would go with engineering first. Should you decide to transfer to math, you will not have lost any time.</p>