You should apply to Engineering as your first choice and list Chem as your second. You’re automatically considered for your 2nd choice major, if you miss the cut for the first. In addition, at UIUC, if you miss the cuts for both your first and second choice majors, you’re automatically considered for DGS, from which you will have the opportunity to transfer into a major if you … make the cut at that time. Please note that engineering, in general, is very difficult to transfer into.