Choose First: Theoretical Mechanics I or Methods of Theoretical Physics?

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Discussion Overview

The discussion revolves around the decision of which course to take first between Theoretical Mechanics I and Methods of Theoretical Physics. The conversation includes considerations of course content, prerequisites, and the relationship between the two subjects, focusing on their relevance to future studies in physics.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant suggests that taking both classes together was beneficial, but if forced to choose, they would recommend Theoretical Mechanics I first, indicating that the math methods class could be postponed.
  • Another participant notes that they do not need to take the courses immediately and is currently enrolled in Thermodynamics and Statistical Mechanics, questioning the necessity of partial differential equations (PDEs) in Theoretical Mechanics I.
  • A different participant asserts that PDEs are not heavily utilized in mechanics, mentioning that ordinary differential equations (ODEs) and possibly Fourier series are more relevant.
  • One participant expresses a preference for numerical methods, suggesting that they might be more useful than the theoretical approaches covered in the courses.

Areas of Agreement / Disagreement

There is no clear consensus on which course should be taken first, as participants have differing opinions based on their experiences and future plans. Some advocate for Theoretical Mechanics I, while others see value in delaying the math methods course.

Contextual Notes

Participants express uncertainty regarding the use of PDEs in Theoretical Mechanics I and the timing of taking the courses in relation to other subjects. There are also varying opinions on the importance of numerical methods versus theoretical approaches.

Shinaolord
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So, I have to choose between these two, on which to take first.

Here are descriptions:

Theoretical Mechanics I
An intermediate study of mechanics, including the study of Newtonian mechanics of a single particle and multiple-particle systems, oscillations, motion in noninertial reference frames, gravitation and central-force motion, and Lagrangian mechanics.
Credits: 3.0
Lec-Rec-Lab: (3-0-0)
Semesters Offered: Fall
Pre-Requisite(s): (PH 2200 or PH 2260) and (MA 3520 or MA 3521 or MA 3530 or MA 3560)[\quote]Or, this one, which I think would help out for theoretical mechanics.
Methods of Theoretical Physics
Introduction to the techniques and methods frequently encountered in advanced physics with a particular emphasis on application to physical problems. Topics include, but are not limited to, complex numbers, vector analysis, partial differential equations, and integral transforms.
Credits: 3.0
Lec-Rec-Lab: (3-0-0)
Semesters Offered: Fall
Pre-Requisite(s): MA 3160 and (MA 3520 or MA 3521 or MA 3530 or MA 3560)
[\quote]

So, any opinions on which first?
 
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I took these classes together and it was perfect. If I had to pick 1 it would be mechanics. The math methods class can be delayed a bit... Though I would suggest it before taking E&M.
 
Alright, I don't have to take them technically until next year, and this year I'm taking Thermo and stat mechanics in the spring. So PDEs aren't used heavily in theo mech.? Because I'm also planning on taking an intro to either PDEs or numerical solutions to PDEs in the spring as well. Can't decide between these two as well.
 
Nope PDE's shouldn't be used much at all in mechanics. Though you will see a lot of ODE's and maybe some Fourier series. I took PDE's alongside E&M and it complimented quite nicely.
 
Hmm alright, well between the two I think numerical solving would be more helpful. Any thoughts?
 

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