Should You Study E&M and CM Concurrently?

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Discussion Overview

The discussion revolves around the feasibility and wisdom of studying Electromagnetism (E&M) and Classical Mechanics (CM) concurrently. Participants explore the prerequisites, mathematical preparation, and textbook recommendations for both subjects, considering the implications for students at different levels of education.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • Some participants question whether it is wise to study E&M before mastering the prerequisites of classical mechanics, citing concerns about foundational knowledge.
  • Others argue that studying E&M and CM concurrently is manageable if the student has sufficient mathematical preparation, including vector calculus, linear algebra, and ordinary differential equations (ODEs).
  • A participant shares their personal experience of successfully taking E&M before CM, suggesting that it may not pose significant challenges.
  • Textbook recommendations vary, with some suggesting that Purcell's E&M is a better precursor to Griffiths than Kleppner's CM.
  • Concerns are raised about the level of mathematical sophistication required for concurrent study, with some participants emphasizing the importance of being comfortable with the necessary mathematics.
  • There is a discussion about the appropriateness of various textbooks for both subjects, including suggestions for alternatives to Purcell and the suitability of intermediate texts.
  • Some participants express uncertainty about what constitutes being "sufficiently advanced" or "mathematically prepared," leading to further inquiries about the adequacy of specific mathematical backgrounds.
  • One participant suggests that if the courses prove too challenging, students should focus on improving their mathematical skills.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether studying E&M and CM concurrently is advisable for all students. While some believe it is feasible with the right mathematical background, others caution against it for those who may not be adequately prepared.

Contextual Notes

Participants note that the appropriateness of concurrent study may depend on the specific curriculum and teaching methods of the courses involved, as well as the individual student's mathematical maturity.

ice109
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is it a plausible thing? I'm sure it's possible because almost anything is possible, the question is it wise? an example of my hesitation to study something before it's prerequisites is that i don't want to study QM before studying hamiltonian and lagranian mechanics. should i be worried about something like this for E&M and CM?
 
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By "CM", do you mean classical mechanics?
What level [textbooks] are you talking about here?
What is your current mathematical preparation?
 
i have math through calc 2 and ODE. I'm taking linear algebra and calc 3 right now. I'm studying classical mechanics from kleppner and i would study E&M from griffiths or some other undergraduate text.
 
In my opinion, Kleppner to Purcell is more appropriate.
I think you need a course like Purcell or its equivalent before Griffiths.

Mathematical usage:
(MECH) Kleppner - Vector Algebra, Calculus, some vector calculus, ODE
(E&M) Purcell - Vector Algebra, Calculus, more vector calculus
[(MECH) Marion - Vector Algebra, Calculus, some vector calculus, ODEs, Variational Calculus ]
(E&M) Griffiths - Calculus, even more Vector Calculus, PDEs (and ODEs)

I think Kleppner concurrent with Purcell is doable... if you are comfortable with the mathematics in use.
 
I took E &M, using Griffith's, before Classical Mechanics, and I didn't have any trouble. I think I just had to look up F= -Div(U)
 
know any other equivalents to purcell? i don't have that one

what about this book for CM?

Introduction to Classical Mechanics, 2nd ed. - Atam P. Arya

and these for E&M

Introductory Electromagnetics - H. Nef

Introductory Electromagnetics - Z. Popovic, B. Popovic

Classical Electrodynamics for Undergraduates - H. Norbury

and how about texts in the next level? the hope is that after i complete a book like kleppner i'll be able to do landau and lif****z or goldstein and after completing the intermediate E&M i'll be able to do jackson.

:lol: at lifshi.tz
 
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I did classical mechanics and E&M at the same time as an undergrad (Griffiths and. . . someone else), and as a grad (Goldstein & Jackson).

I'm really unsure why doing so would present a problem. I can see how classical might be good to take before quantum. . . but even there, not a big deal.
 
In general, doing mechanics and E&M concurrently is not a problem if you are sufficiently advanced. In grad school, it's typical that your first semester has some combination of classical mechanics, E&M, and Quantum concurrently. At the introductory level [where you are probably seeing things for the very first time], it is likely to be more of a problem if you are not mathematically prepared.

You might find this list useful:
http://math.berkeley.edu/~ajt/physics_textbooks.html
 
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If you have the mathematical sophistication, Goldstein, Classical Mechanics is still one of the clearest and thorough textbook on mechanics.
 
  • #10
wonderful site robphy
 
  • #11
ice109 said:
Classical Electrodynamics for Undergraduates - H. Norbury

:lol: this should be J. Norbury I think. He is my advisor and he wrote this book while he was a Professor at UWM. It is a good text, but you will have to be up on your integration and derivatives. It is geared toward a freshman/sophomore taking physics after taking first semester of introductory physics. It is not in a final form (since so many people pirated it and illegally distributed it across the internet) but it is serviceable.

GL.
 
  • #12
robphy said:
In general, doing mechanics and E&M concurrently is not a problem if you are sufficiently advanced.

it is likely to be more of a problem if you are not mathematically prepared.

what do you mean by "sufficiently advanced" or "mathematically prepared"? Would a math background up to vector calc, linear alg and ODEs be sufficient?
 
  • #13
proton said:
what do you mean by "sufficiently advanced" or "mathematically prepared"? Would a math background up to vector calc, linear alg and ODEs be sufficient?

Basically, what I mean is that..

when starting out in the intro courses where everything is new, it's probably not a good idea to take "Physics I" concurrently with "Physics II"... say, a course using the first half of Halliday-Resnick along with the next course using the second-half of H-R.

when doing the intermediate courses, which assumed that you've already done Physics I and II and a set of calculus courses.. hopefully up to some linear algebra, vector calculus, and differential equations, you may be able to do mechanics and electromagnetism concurrently. For some, the intermediate level courses may be large step up from the introductory courses. It may be best to follow the department's curriculum, which might not have them concurrent. But if you want them concurrent, possibly rushing the courses, some mathematical maturity (meaning mastery of the mathematical requirements) may be required. It really depends on the way those courses (both intro and intermediate) are taught. (See my rough list of math topics at the various levels my post, #4 above.)


by graduate school, one should be prepared to handle current courses (e.g. Goldstein and Jackson) concurrently.
 
  • #14
so it shouldn't be too bad to do marion and griffith if I've completed all my intro physics along with vector calc, linear alg, and ODEs?
 
  • #15
The only way to know, is to do it. If it's too hard, learn some more maths...
 
  • #16
Cassiday and Folwes Analytical Mechanics, is also a standard mid-level mechanics book. The first 5 chapters are great and can be done with mostly vector calc. and differential equations. After that, the book kind of goes down hill; though, it does save it self on its treatment of oscillations in the final chapter (it's Lagrangian treatment is horrible. Pick up a modern geometry (diff. geo) that covers calculus of variations and you will be in a world of joy!)
 

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