It’s not really complicated and I’m sorry they made it sound so.
At Orientation, you indicate DUS (or Pre Engineering, your choice).
ALL students have to meet specific “entrance to major” criteria, from whatever pre-major they were listed for. NO ONE is already “in” a major. This way, students can switch easily, and many do.
The process is selective (ie., you can’t get into Engineering if you failed Math and didn’t do well in several pre-requisites) but it’s not competitive (everyone who meets the standards has a place in the major).
As a student in Schreyer/DUS considering both Engineering and Business, she’ll need to take Math 140-141, the Honors section of Micro&Macro Econ (MUCH better as Honors: interactive and, while rigorous, fun), the 2 Schreyer seminars (137-138H), Chem 110, Phys 211, Engineering Design Seminar (Honors?), SCM 200H (Statistics for Business, Honors section). She’d need a minimum of C in each of them and at least a 3.0 at the end of freshman year (3.2 at the end of sophomore year) to be guaranteed the major-specific courses.
She could also start in Engineering, take the above classes, and switch to DUS at the end of 1st semester if she decides she doesn’t like Engineering. Her Schreyer adviser will help map out her choices and possibilities:
You can look at the flow chart:
You’ll see 1st semester, as described above and on the flowchart, has a lot of overlap for Engineering and Business (only class that doesn’t “count” for both is Engineering Design, and I’m not certain it’s required the 1st semester though it’s required the 1st year).
Most importantly, she will have a personal adviser who knows her, her goals, etc., and will work with her.
Schreyer is considered one of the top 5 Honors colleges in the country. The reasons for that are related to the quality of faculty advising&engagement, the financial support, the breadth&depth of honors classes, the special opportunities, the quality of programming&housing.
UF’s program isn’t in the same ballpark at all - the “perks” may superficially sound similar but the breadth, depth, and personal support aren’t there compared to Schreyer.
(For comparison, FSU’s and UCF’s Honors Colleges are a notch below Schreyer but still considered excellent. FSU and UCF use their programs to attract students who are likely to have been admitted to UF but want a less impersonal university experience.)
“Honors” isn’t in itself what matters for employers. However, “Honors”, and especially Schreyer, facilitates so much, that all the opportunities and special experiences make the resume stand out.