Hello,

Engineering science:  This program generally focuses on the general application of various combinations of mathematical and scientific principles which include analysis and evaluation of engineering problem. This will apply to the  field research like human behaviour,biology, statistics etc.

Engineering physics: In this program mainly focus on the advance physics topic just like physics major . Mainly tends to work on the technology and science .

Both the courses are good, but engineering science is an interdisciplinary course,so more door is open for careers. But does not mean another course does not have career. However, it is up to your interset in the subject and field.