Question: Why should I spend five years in the 3-2 program instead of just going directly to the University
of Minnesota in engineering for four years?

Biased answer (from a physicist): Physics is the most fundamental of all the sciences. You might even go
to the extreme of saying that all natural science is to a large extent an application of physics and mathematics.
Consider the following schematic diagram illustrating the relationship of physics to the other natural sciences:

Notice that mathematics is at the top of this chart showing how vital it is in the sciences and engineering. A student
planning for a career in science and engineering should obtain a solid mathematical background. Physics is next on
the chart showing how a solid foundation in physics will enable the student to understand engineering on a deeper
more fundamental level. Having a strong background in mathematics and physics enables the student to know when
a particular method is appropriate for a given physical situation. Rather than accept a table of numbers derived from
some unknown formula, an engineer with a strong background in physics and mathematics will try to determine if the
particular formula being used is appropriate or not.