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The ease with which a student can transfer is obviously highly dependent how close the majors are (as in, how much overlap is there between required courses within the two majors?) and many credit hours are required to complete a certain major. I don’t know if this is what you were asking, but there is no re-application or anything to switch into engineering versus arts and sciences, you just get a couple people to sign a paper and voila! you have a new major. However by “ease” I am assuming you mean the ability to graduate in 4 years without massive overloading.
Switching between engineering programs could potentially be pretty simple since there are quite a few courses that all engineers take. I don’t want to scare you all into thinking switching majors is impossible, but if you want to switch into engineering specifically it will be a little more difficult since there are quite a few number of required courses in engineering. If you are thinking about switching into engineering I would suggest starting out in engineering and taking the Calculus courses for math majors (which are more intense than the corresponding Calculus classes for engineers but I believe would be required if you wanted to major in math) so that you have to option to switch out into Math. It also helps to be somewhat aware of some of the pre-requisites if you are thinking about switching because it would be terrible to discover in the middle of freshman year that you wanted to do Chemical Eng but couldn’t possibly be on track because you hadn’t taken any chemistry courses first year. Switching into engineering can be done because much of the actual engineering classes aren’t started until sophomore year, other than the pre-requisites, like math and physics…
If you wanted to be super-OCD about making sure you have options, but also can graduate in 4 years, you might want to look at the Undergrad Student Handbook to see which courses are required for which major and where the overlaps are so that you avoid taking too many classes that don’t count for both. If you do this, be careful because many required courses are only offered in either the spring or the fall semester, but not both.
Again, I hope I didn’t scare you, but I tend to be OCD about these sort of things, so if my sibling or younger friend were entering Case, these are the kind of things I would suggest he/she should do. And I really don’t care for the 1st year advising system so if you have potentially tricky-to-navigate situations (like possibly wanting to switch into engineering) I would strongly suggest you figure out roughly which direction you want to go to so you can double-check the advice the Deans give you as you enroll for the first time.
Then again, if you don’t care that much about taking classes a summer or two, or graduating a bit late, or taking relatively heavy course-loads, you can be more relaxed about it all.
Feel free to message me more specific questions.
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