Schools Math and Physics undergrad to EE Graduate school?

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A student with a math and physics background is considering transitioning to electrical engineering (EE) graduate school but lacks applied math and engineering coursework. Despite enjoying functional analysis and operator theory, the student is drawn to applied topics, particularly in signal processing, and is interested in the defense industry. Concerns about being underprepared for EE due to a lack of relevant classes and research experience are prominent. Suggestions include consulting a curriculum advisor to identify prerequisites and considering electives in EE to build a foundational knowledge. The discussion highlights that a math/physics background can be beneficial in applied engineering fields.
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Hi, I'm going to be entering my senior year of undergrad and I'm pursuing a math and physics degree. I've got a good, high GPA, and really enjoy all of the math classes I've been in. Physics, however (especially particle physics and classical mechanics) were not so enjoyable. With respect to math, I really enjoy the topics of functional analysis and operator theory, although I have a very limited knowledge of the subjects. If I were to go to grad school for math, it would only be in one of those subjects, or a closely related analysis topic.

However, I have recently become more interested in applied topics. I have had no applied math classes and no engineering, but I've been reading a book on signals and systems, and I really enjoy the topic. I also like the idea of doing work that will be helpful or actually tangible. I'm also quite interested in working in the defense industry.

So, what I'm curious about is, can a math/physics double major with a high GPA, some research experience in math, go to an engineering grad school for EE? I know I'd be behind everyone else because I don't have any of the undergrad classes, so I assume I would not be eligible for admissions. Should I instead apply to applied math programs?

I'm looking more for insight and suggestsions I think. The thing that's pushing me away from going into pure math grad school is I'm worried the research is too hard and beyond me. I love the topics and haven't had any trouble at all with undergrad work, but I don't know if I'm cut out to go for research. I do however love teaching , and that's one of the major reasons I wanted to get a math Ph.D. was so I could teach at something like liberal arts school and do a bit of research.

Sorry for this huge wall of text, I'm rather unsure of which direction to go and I'd love suggests ions from people that have gone in the engineering direction and the math direction. Thanks!
 
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Mathematicians and physicist go into engineering all the time. In the more applied mathematics and applied physics sub-disciplines (e.g. signal processing, device physics), it is sometime actually helpful to have a mathematics/physics background.

If you do choose this route, I would suggest sitting down with a curriculum advisor before you start taking first-year classes to make sure you meet the prerequisite knowledge.
 
Can you take some electives in EE? A good blend of different areas would be useful -- it conveys an interest in electrical engineering plus most of the stuff is interconnected here.

Courses like Signals, Systems and Networks, a course on Electronic Circuits (even if you're into theoretical EE), and Control Systems will be nice options. You probably have an electronic circuits course under your belt already because of the physics degree. In that case, see if you can take something on Stochastic Processes or applied probability theory.

Are you interested in theoretical EE or experimental EE?
 
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