<p>Actually, my point about needing a high SAT M score (or later acquiring the equivalent +) for a physics major is not limited in any way to the HYPSM+C category. It’s in the nature of the subject, at any of the top 200 institutions in physics, and probably much beyond that.</p>
<p>It’s not a question of “hazing,” it’s what physics undergrad work takes, day to day. The student not only has to be able to fill in the gaps between equations in the textbooks and get the bigger picture, but also has to be able to apply general principles to problems that have never been posed to the student before.</p>
<p>There may be some physics courses that are susceptible to an algorithmic approach, e.g., “this is how you do this type of problem.” In fact, most physics courses have a subset of problems that will yield to that approach. But essentially all decent physics courses have large swaths of coverage where that just won’t work.</p>
<p>The student needs to acquire a high level of mathematical facility and insight at some point. It might happen a little later on. My niece, an engineer, did not find the calculus courses easy up through mutli-variable calculus and diff eq. But after that, something “clicked,” and the rest of her math courses went very smoothly.</p>
<p>My calculus prof remarked to us that each level of math became easy when you got to the next level. I think this is true. However, a student would have to have a very high level of frustration tolerance to stick with the program while performing at the C/D level in all of the classes.</p>
<p>As an aside: I think it is fairly commonplace among scientists to have received an A in a physics or math course while realizing that they did not really grasp the subject. That has certainly happened to me.</p>
<p>Also, I understand that there are many career options outside of physics, for a physics major, let alone for the full range of undergrad majors. I am happy to concede that many of the other options are more important, more rewarding, and more remunerative than physics. The other options might even permit those who pursue them to be better people! Seriously. At the moment, I am just talking about physics, for someone who is thinking of doing physics research.</p>