Codester09 said:
Which fields of engineering involve the most physics. I'm a physics major at the moment, but after seeing how ridiculous it is to land a tenure position at a university, I'm considering switching to engineering. What do you guys suggest for a physics/math buff?
I'm a physics/math buff and I chose electrical engineering. I can't say EE has the most physics/math compared to other engineering areas, but maybe it offers the most diverse range of subtopics in both math and physics.
There is a wide range of topics in EE and not all of them require detailed knowledge of physics and math - for example computer or circuit design. However, you can easily steer yourself more towards physics/math based areas. You need quantum mechanics to understand semiconductor and other solid state devices. Electromagnetics/optics, acoustics, mechanics are other examples of physics areas. Math areas include differential equations, linear algebra, vector calculus, Fourier and Laplace transform theory and application, probability theory and stochastic processes, feedback and control theory, discrete time mathematical theory, linear systems analysis. When you get to grad level in EE, you will find some people are technologists, some are almost pure applied mathematicians, some are basically applied physicists and some are jacks of all trades (with the likely chance of being a master of none).
Differential geometry isn't used much in engineering, but you can learn it easily enough on your own because the covered vector calculus with general curvilinear coordinates and tensor calculations gets you close. Mechanical engineering is also a good choice if you prefer mechanics, fluids and thermodynamics. It's really close between mechanical and electrical engineering, but I typically find electrical engineers have been exposed to a wider range of math analysis theory. I think physics gives the best overall applied mathematics background and of course the best physics background. However, perhaps engineers are a little better at using math and physics to get answers efficiently for real world design problems. For example, a physics major is better suited to do a spacetime coordinate transform for the electromagnetic field components in a special relativity problem, and most EEs might not even know how to approach that, but a physics major might not even know the correct form of Maxwell's equations for designing and optimizing a motor with practical ferromagnetic materials, or if they do, they might struggle to get answers with it. So, with any area you choose, you should seek to keep learning to improve your knowledge and capabilities over time.