Sufficient Courses for Physics Grad School

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Discussion Overview

The discussion centers around the sufficiency of a proposed course plan for preparing for graduate school in theoretical physics, particularly in high-energy physics and general relativity. Participants evaluate the physics and mathematics courses listed by the original poster, considering their relevance and adequacy for graduate school admission.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that the listed physics courses represent the bare minimum required for a physics degree, implying that while they may be sufficient, they might not be competitive for graduate school admissions.
  • One participant emphasizes the importance of taking thermodynamics and statistical mechanics, noting these as core areas that graduate schools typically expect students to have covered.
  • Concerns are raised about the order and selection of mathematics courses, with some participants arguing that taking analysis in the first year may be unrealistic and that foundational calculus courses should precede more advanced topics.
  • Another participant expresses a positive view on the selection of math courses, indicating they are appropriate as a supplement to physics studies.
  • There are differing opinions on the adequacy of the proposed course load, with some suggesting that a double major in physics and actuarial sciences may limit the ability to take additional physics courses.
  • A participant mentions that the proposed plan closely resembles a specific university's physics program, suggesting it may be adequate for graduate school preparation.
  • Several participants note that the proposed course plan may need to be flexible and subject to modification based on future academic experiences and requirements.

Areas of Agreement / Disagreement

Participants generally express mixed views on the sufficiency of the proposed course plan, with some agreeing that it meets minimum requirements while others argue it may not be competitive enough for graduate school admissions. There is no consensus on the optimal order of mathematics courses or the overall adequacy of the physics curriculum.

Contextual Notes

Participants highlight limitations regarding the proposed course sequence, including concerns about the order of advanced mathematics courses and the potential impact of a double major on course availability. There are also references to varying expectations across different universities regarding the necessary coursework for graduate school readiness.

NATURE.M
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Hi, I am going to list the various courses I plan on taking as part of my physics major (though not all the courses are contained in the physics major). I would simply like to know if the following will sufficiently prepare me for graduate school in theoretical physics (focusing on high-energy physics, or general relativity). I just want to ensure that the option for graduate school in physics is still readily available to me after undergrad.
The physics courses include:(I will not be listing the mathematics courses)

1st year: Foundations of Physics (Newtonian Mechanics, Electricity/magnetism)

2nd year:Practical Physics, Mechanics: from oscillations to chaos, Electricity and Magnetism, Intro to quantum physics

3rd year: Electromagnetic Theory, Classical Mechanics, Quantum Mechanics I

4th year: Quantum Mechanics II, Relativistic Electrodynamics, and if able General Relativity
 
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It would be helpful for you to list the math courses too.

That is really the bare minimum of a physics degree so in that sense, it is sufficient.
 
One thing to keep in mind is that with the bare minimum of coursework, the bare minimum of grades, the bare minimum of test scores, etc. it becomes very unlikely one will get in.
 
Vanadium 50 said:
One thing to keep in mind is that with the bare minimum of coursework, the bare minimum of grades, the bare minimum of test scores, etc. it becomes very unlikely one will get in.

Its not that I don't want to take more physics courses because I do. But I'm considering completing a double major in physics and actuarial sciences (mainly to heighten employment prospects, along with some interest). So it would be difficult to take more physics courses. I apologize for not mentioning that earlier.
 
You should also take thermodynamics and statistical mechanics, either as separate courses or combined into a single course. This is one of the "big four" core areas that grad schools look for, along with classical mechanics, electromagnetism, and quantum mechanics.
 
Jorriss said:
It would be helpful for you to list the math courses too.

That is really the bare minimum of a physics degree so in that sense, it is sufficient.

The math courses I plan on completing include:

1st year: Analysis I (proof-based calculus), Algebra I & II (theoretical linear algebra)
2nd year: Analysis II, Advanced Ordinary Differential Equations, Probability and Statistics
3rd year: Partial Differential Equations, Intro to differential geometry, Probability
4th year: Complex analysis, real analysis (if room permits)
 
NATURE.M said:
The math courses I plan on completing include:

1st year: Analysis I (proof-based calculus), Algebra I & II (theoretical linear algebra)
2nd year: Analysis II, Advanced Ordinary Differential Equations, Probability and Statistics
3rd year: Partial Differential Equations, Intro to differential geometry, Probability
4th year: Complex analysis, real analysis (if room permits)

This seems unrealistic. I'm by no means informed of your mathematical preparation, or your schools requirements, but as a freshman; Analysis is not advisable. At my university, we usually take 3 semesters of calc, and a semester of ODE's and Linear Algebra. Then we move on to analysis and such. In addition, your third year courses (PDE's and Diff Geo.) are more advanced than your fourth year courses.

Even if this is just a general outline and you plan on completing the foundation courses as well, you need to seriously re-evaluate the order of courses that you'd be taking.
 
Sentin3l said:
This seems unrealistic. I'm by no means informed of your mathematical preparation, or your schools requirements, but as a freshman; Analysis is not advisable. At my university, we usually take 3 semesters of calc, and a semester of ODE's and Linear Algebra. Then we move on to analysis and such. In addition, your third year courses (PDE's and Diff Geo.) are more advanced than your fourth year courses.

Even if this is just a general outline and you plan on completing the foundation courses as well, you need to seriously re-evaluate the order of courses that you'd be taking.
His first year of math seems like a great selection of courses - proof based calculus and algebra. Certainly doable.
 
Well, the Analysis I course uses the Spivaks Calculus Textbook. And analysis II uses Spivak on Manifolds. And the only reason I postpone complex and real analysis until 4th year is primarily due to time/space availability. I'm not entirely sure if I'll be taking such courses. On the other-hand, differential geometry is an area of mathematics that deeply interests me.
 
  • #10
Physics majors usually take
mechanics
electromagnetism
quantum mechanics
more of the above and other physics and related courses
and remedial physics mathematics (is they are quite unfortunate).
So it looks like you will have the minimum but it is hard to say if that is sufficient. In the US at least it is usual to take 5-7 year equivalents in physics. Many students take more or less depending on the school and there other interests. If one is on the light side it might or might not cause problems later.

Sentin3l said:
At my university, we usually take 3 semesters of calc, and a semester of ODE's and Linear Algebra. Then we move on to analysis and such. In addition, your third year courses (PDE's and Diff Geo.) are more advanced than your fourth year courses.
Even if this is just a general outline and you plan on completing the foundation courses as well, you need to seriously re-evaluate the order of courses that you'd be taking.
You have to take fake calculus three times before you get to the real thing? That is unfortunate. It is hard to say if the listed third year courses are more advanced or not from the names, but as already mentioned there are good reasons why courses are taken is different order. I don't know what this foundation course is, but it sounds bad. Is that like set theory and logic or a pretend set theory and logic that is really about induction and the contrapositive?

In summary the proposed plan is reasonable though the split emphasis limits some opportunities. I would advise being flexible as this plan might need modification later.
 
  • #11
What you have listed here is very nearly University of Toronto's physics specialist program.

Judging by that, I imagine you would be ready for grad school.Note: I am not a grad student but am part of UofTs undergraduate physics class.
 
  • #12
I actually really like your selection of math courses as far as supplement to physics goes. I hope everything goes as planned!
 
  • #13
Tsunoyukami said:
What you have listed here is very nearly University of Toronto's physics specialist program.

Judging by that, I imagine you would be ready for grad school.


Note: I am not a grad student but am part of UofTs undergraduate physics class.

I will actually be starting my undergraduate studies at UofT this upcoming fall. Although, I personally consider the specialist program to be fairly exclusive, and limited in its outreach.
 
  • #14
I second the thermo and statistical mechanics bit.

When I was an undergrad we had a 2nd year course that had some thermo, stat, and quantum as an intro, and then an upper level course later that was all statistical mechanics. The core 4 courses that my graduate school expected us to know (and tested us on) was mechanics, E&M, quantum, and statistical mechanics.
 

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