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. • Dane notes that there are few undergraduate courses specific to MS&E but says that as well as materials science, courses in mechanical engineering, chemicalengineering, chemistry or physics are often relevant. • For the growing ML aspects of the field, backgrounds in computing, coding and mathematics are helpful.
I strongly believe that the world needs engineers with strong critical thinking skills, who know how to ask questions, understand bias, construct and evaluate arguments, and think comprehensively and creatively. I love mathematics, problem solving and logical thinking. This goes hand in hand with ethical thinking.
It’s a story I’ve told elsewhere , but one of the important elements for our purposes here is that in designing the system I called SMP (for “Symbolic Manipulation Program”) I ended up digging deeply into the foundations of computation, and its connections to areas like mathematical logic.
The function Map takes a function f and “maps it” over a list: Comap does the “mathematically co-” version of this, taking a list of functions and “comapping” them onto a single argument: Why is this useful? You need to be able to easily define mathematically complicated boundary conditions. are Comap and ComapApply.
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