Would this class be useful for an EE? Advanced Engineering Calc.

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The discussion centers on the Advanced Engineering Calculus course, typically taken by Mechanical and Aerospace Engineering students, with less clarity on its relevance for Electrical Engineering students. The course expands on engineering mathematics beyond Calculus 3 and differential equations, covering topics such as non-dimensionalization, asymptotics, perturbation theory, and various mathematical transforms. There is a perception that the course may relate to fluid mechanics, though the mathematical content appears similar to that found in Electromagnetism. Participants express that the course is beneficial, highlighting the importance of perturbation theory and Hamiltonian formulations in fields like quantum mechanics. Overall, the consensus leans towards the course being a valuable addition to an engineering curriculum.
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I've been told that usually Mech Eng's or Aerospace Eng's take this class, haven't heard much for EE's but it definitely sounds interesting.

Advanced Engineering Calculus - Extends the treatment of engineering mathematics beyond the topics covered in Calculus 3 and differential equations. Topics include non-dimensionalization, elementary asymptotics and perturbation theory, Reynold's transport theorem and extensions of Leibnitz's rule, as applied to continuum conservation equations, Hamiltonian formulations, Legendre and Laplace transforms, special functions and their orthogonality properties.

Thanks for any help.
 
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Unfortunately, I can't find any old class pages or books that use/will be using. From some searches I've found that it seems like a fluid mechanics class, which I have no experience with. Most of the math though looks similar to E&M math, can anyone confirm this?

Thanks.
 
Seems useful to me. It'd be hard to have enough applied maths courses. Pertubation theory appears in many areas, if you get into the quantum side things it would be quite useful there. Hamiltonian stuff is useful for quantum too, and Laplace, special functions and Sturm-Liouville theory is always good. Go for it I say.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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