[JoeCamel]

* "Engineering is the use of scientific principles to design and build machines, structures, and other items"

* Mathematics isn't only about calculation and applied physics. When you write a simple algorithm and convince yourself with a logical argument about its correctness, time complexity, etc. that is math too. You also do calculations when you design various systems (latency, throughput, etc.)

* I know a dozen mechanical, structural, and electrical engineers. They almost never model anything from first mathematical principles, they use well known tools and methods they learned. Their "nail guns and glue". Actually I think most of them don't understand math/physics behind it very deeply. So even if those methods are underpinned with mathematics and physics, it's abstracted away most of the time which is good for practical purposes.

Even in "user-interface programming", I often had to use math, algorithms, etc. In other parts of software engineering I used it much more.

[billfruit]

Even most mechanical/civil engineers use very simplified models than is used by physicists. Engineers usually use Newtonian mechanics in its elementary formulation, and is not usual for them to be familiar with Lagrangian/Hamilton/Variational formulations.