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Can anyone please tell me what parts of differential equations, linear and partial I need to revise properly before I take a course in vibrations , in Dynamics, our course in vibrations mainly deals with Free , Forced and Torsional Vibrations , so regarding Laplace transformation , Fourier series and Partial Differential Equations , what we need to study or revise?

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    $\begingroup$ This will very much depend on the curriculum. If the course is very applied, then you probably are going to be ok with high school calculus. If you are looking at MDOF, continuous systems then you need to brush up with linear algebra apart from linear ODE's. Sometimes courses offer advice regarding the requirements. $\endgroup$
    – NMech
    Sep 6, 2021 at 11:17
  • $\begingroup$ @NMech , our course in vibrations mainly deals with Free , Forced and Torsional Vibrations , so regarding Laplace transformation , Fourier series and Partial Differential Equations , what we need to study or revise , please tell $\endgroup$ Sep 6, 2021 at 11:34
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    $\begingroup$ Since you mention "torsional" vibrations, I would guess the most important things to revise are your courses on statics, not advanced math topics like Laplace transforms and partial differential equations. But since we don't know the curriculum or even what degree you are taking, this is just a guess. $\endgroup$
    – alephzero
    Sep 6, 2021 at 11:38
  • $\begingroup$ @alephzero , sorry i should have mentioned it earlier , im in for Mechanical Engineering Bachelors Degree , so can you please be more specific it would be better... $\endgroup$ Sep 6, 2021 at 11:40
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    $\begingroup$ Also guessing, I would think a full course dedicated to dynamics of vibration needs the entire basic engineering math sequence. In particular PDE's would be central, if the course is taught with any kind of theory. Techniques for solving arbitrary PDE's are probably not necessary, but understanding where the solutions come from I think would be. If it is a typical engineering class, I'm guessing the course will describe the parametrized general solution to a handful of standard geometries, and you would adapt them to arbitrary scaling and boundary conditions per the situation $\endgroup$
    – Pete W
    Sep 6, 2021 at 16:14

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