During the time of my undergraduate, one of my professor took a great effort to teach us the difference between a mathematician and an engineer. To his credit, he almost did it in a 100%
Mathematics is paramount in engineering. But Engineering is not all about the mathematics.
Engineer is always a practical,solution provider and most importantly see all the (most of) aspects of the problem in solving the issue.While doing so , he should not be restricted in specific theoretical framework but should be an out of box thinker.
As an engineer one does not need to immersed in rigorous theories always, how it invented, but he should be able to use the theory creatively in day to day problems....
What they need is creativity blended with a sound technical background.......and essentially unframed imagination skills......
See this
who ever wrote this answer, I see a different person behind this, ..for sure he has seen a different aspect of the question that conventional thinker, a framed mind will never find .. He should be given full marks...
again the above answer shows the creativity which is handy in an engineering (or civil engineering?)
Answer may be wrong in an eyes of a mathematician. But answer gives an indirect indication of a creative thinker......
the following is a good lesson for the teachers. Picture says thousand words