List of Courses Necessary for Physics Graduate School

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Discussion Overview

The discussion revolves around the necessary and beneficial undergraduate math and physics courses for success in physics graduate school. Participants share their personal experiences and suggest courses that could enhance preparation for graduate studies, while avoiding specific PhD topic requirements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant lists essential courses in math (Calculus 1-3, Linear Algebra, ODE, PDE) and physics (Introductory Physics 1-3, Intermediate E&M, Intermediate Mechanics, Intermediate Laboratory, Quantum Mechanics, Thermal Physics) as a starting point.
  • Another participant agrees that the listed courses cover the essentials and suggests that additional semesters of classical and quantum mechanics would be beneficial.
  • A participant mentions their own completed courses, including advanced topics like optics, electronics, and solid-state physics, emphasizing the value of in-depth study in these areas.
  • One participant raises the importance of applied complex functions and suggests that numerical analysis and programming courses could be useful, even if not strictly required.
  • Another participant notes that while complex variables are not commonly required in US physics bachelor's programs, they are acknowledged as useful for graduate-level physics.
  • A later reply clarifies that applied complex analysis is often included in physics programs, citing a specific example from a Princeton undergraduate handbook.

Areas of Agreement / Disagreement

Participants generally agree on the essential courses for preparation, but there are differing opinions on the necessity of complex variables and numerical methods, with some asserting their usefulness while others question their requirement in undergraduate programs.

Contextual Notes

There is a lack of consensus on the specific requirements of different undergraduate programs, and the discussion reflects varying personal experiences and institutional differences regarding course offerings.

razor_roller
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I looked back a few months but could find no posts that explicitly covered both these so my question to y'all is:

From your personal experience, if you had to compose a list of undergraduate math/physics courses that are necessary/extremely beneficial to success in physics graduate school what would they be? Please negate potential PhD topics of study such as the course requirement difference between HEP vs. condensed matter vs. astronomy. A broad, general overview will suffice. To start, the basic consensus for the bare minimum one should have completed I have read on these forums so far is:

Math
Calculus 1-3
Linear Algebra
ODE
PDE

Physics
Introductory Physics 1-3
Intermediate E&M
Intermediate Mechanics
Intermediate Laboratory
Quantum Mechanics
Thermal Physics

If you had to add to this list, what would you say one should have already taken (i.e. quantum 2, solid-state, complex variables etc.) As I am currently thinking of pursuing graduate school, not only would this benefit me as I consider electives but the many who browse this forum probably thinking the same thing.
 
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No one has any opinion on this?
 
razor_roller said:
No one has any opinion on this?

Looks like you've got the essentials.
 
I agree that you have the essentials. Whatever the requirements are for graduation are likely 'good enough' prep for graduate school. However, since it would seem you have some room in your schedule, a second semester of either (or all) classical/quantum mechanics and E&M would be useful as well.

When I was done with undergrad I had completed the following:
Math: Calculus 1-3, ODE, linear algebra, an additional course in ODE
Physics: Intro 1-3, mechanics 1 & 2, quantum 1 & 2, E&M1, optics (w/ lab), electronics (w/ lab), senior lab, nuclear/particle physics, solid-state physics.

I found my 2nd semesters of classical and quantum mechanics to be a lot of fun because you really went in depth and saw some applications. My favorite part of taking Quantum 2 was on the first day. The professor walked in, looked at everyone in the room and said, "So, these are the hardcore..." and proceeded to start with the first lesson.

More of the specialized courses like solid-state physics will at least give you some sort of idea about what these topics are about. They could come in handy when deciding what you want to concentrate on in graduate school.
 
razor_roller

I posted a long sequence of what books/knowledge/skills you should have for grad physics and beyond at: https://www.physicsforums.com/showthread.php?t=540829

Thanks to feedback, I've shrunk the material down. I haven't posted the reduced material yet, but I can email it to you (akalaniz AT gmail.com).
 
Don't physics students usually have to take some sort of course of applied complex functions? Seems pretty important to me. And courses like numerical analysis and programming may not strictly be needed but are probably very useful.
 
I don't know of any physics bachelors programs in the US that require complex variables or numerical methods, although they some may very well exist. Many do require some kind of programming course.

I do agree that complex variables are useful for graduate-level physics courses. After my first semester in graduate school, I decided I'd better take complex variables as one of my two required non-physics "cognate courses."
 
I did say applied complex analysis, where it is not a rigorous mathematics course, and this is quite a common requirement as far as I know. I have a Princeton undergrad handbook from 1999-2000 (no, I never went there), and for a physics degree under "Basic Requirements" it says:
At least one of the courses fulfiling the math requirement should stress complex analysis (Mathematics 317[Compex Analysis with Applications], Mathematics 319[Complex Analysis], or Mechanical and Aerospace Engineering 306[Mathematics in Engineering II])
 

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