Will these math courses be of much use to a ME

  • Thread starter Thread starter Gauss M.D.
  • Start date Start date
  • Tags Tags
    Courses
AI Thread Summary
In mechanical engineering (ME), core mathematics courses typically include single- and multivariable calculus, differential equations, linear algebra, and finite element analysis, but Fourier analysis is notably absent from the curriculum. Students seeking to enhance their mathematical foundation for a specialization in computational mechanics, potentially leading to a PhD, are considering additional courses. Suggested courses include multivariable calculus II, complex analysis, Fourier analysis, statistics and probability II, optimization II, and signals and systems. The discussion emphasizes the importance of vector analysis and introductory partial differential equations (PDE) for dealing with tensors and dynamics in computational mechanics. A balanced approach between advanced mathematics and programming is recommended, as both are crucial for mathematical modeling in the field. Statistics II and optimization II are highlighted as particularly valuable for industry applications. There is some debate about the relevance of complex analysis and signals and systems, with opinions suggesting that while complex analysis may have unexpected applications, it might not be as directly useful as other courses.
Gauss M.D.
Messages
151
Reaction score
1
In ME, we're required to take the usual single- and multivariable calculus, differential equations, linear algebra and a bunch of courses in finite element analysis and such. For some weird reason, Fourier analysis isn't required. I would really like to add some extra math to my degree (which will be a masters in the end) but I'm not sure which courses would be most useful. I'd like to optimize for a specialization in computational mechanics, possibly a phd.

Multi variable calculus II
Complex analysis
Fourier analysis
Statistics and probability II
Optimization II
Signals and systems

It's basically more math, or a bunch of programming courses. I guess it's worth mentioning that the mandatory programming courses don't add up to much at all so it's not like there's a shortage of non-math courses that would be useful.
 
Physics news on Phys.org
IMHO, anything resembling vector analysis is a big plus, you will be confronting tensors head on in that specialization, intro to PDE would be huge plus... also, I wouldn't discount programming, your whole world will revolve around mathematical modeling( with cpu ). I'd take math and programing 50/50.
 
Probably the most generally useful in industry would be Stats II and Opt II.

Depending on what your interest are, MV Calc II would be relevant to FE theory, and the other three to dynamics, especially vibration measurement and experimental modal analysis (which can involve plenty of theory, as well as sticking accelerometers on things and hitting them with hammers!)

The other three
 
Thanks for the input guys!

Sounds like signals and systems and complex analysis would be the least useful to a ME then? Or will complex analysis show up enough in enough weird, unexpected ways that it might be worthwhile?
 
After a year of thought, I decided to adjust my ratio for applying the US/EU(+UK) schools. I mostly focused on the US schools before, but things are getting complex and I found out that Europe is also a good place to study. I found some institutes that have professors with similar interests. But gaining the information is much harder than US schools (like you have to contact professors in advance etc). For your information, I have B.S. in engineering (low GPA: 3.2/4.0) in Asia - one SCI...
Bit Britain-specific but I was wondering, what's the best path to take for A-Levels out of the following (I know Y10 seems a bit early to be thinking about A-levels, but my choice will impact what I do this year/ in y11) I (almost) definitely want to do physics at University - so keep that in mind... The subjects that I'm almost definitely going to take are Maths, Further Maths and Physics, and I'm taking a fast track programme which means that I'll be taking AS computer science at the end...
I graduated with a BSc in Physics in 2020. Since there were limited opportunities in my country (mostly teaching), I decided to improve my programming skills and began working in IT, first as a software engineer and later as a quality assurance engineer, where I’ve now spent about 3 years. While this career path has provided financial stability, I’ve realized that my excitement and passion aren’t really there, unlike what I felt when studying or doing research in physics. Working in IT...

Similar threads

Back
Top