If your country has "democratic" in the name it's probably not democratic. If your major has "science" in the name it's probably not science. If your company has "don't be evil" in its motto...
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but not really, that's software after all. engineering is applied math, so largely software modeling, whereas CS is theoretical work. abstract problems, pure solutions.
It's applied math and applied science. The science informs how to apply the math, since the math is a model of natural phenomena. In fact, most of the math came to engineering via the science.
Engineering and science are not math, even though they use math, and engineering is not science, even though it uses science. They are all very different disciplines.