Schools Which courses should I take again to prepare for graduate school?

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A user is planning to pursue a PhD in elementary particle physics after graduating with a physics major in 1996 and later obtaining a J.D. They seek to refresh their math and physics skills for the GRE, anticipating a need for one to two years of preparatory courses. Their undergraduate experience included various physics and math courses, but they aim to avoid starting from scratch with basic classes. They specifically want to focus on thermodynamics, advanced math topics like complex analysis, abstract algebra, and differential geometry, as well as programming skills in languages like C/C++ and Fortran. The discussion highlights the importance of statistical mechanics and solid-state physics for the GRE, noting that a lack of knowledge in these areas could hinder performance on the exam. The user plans to revisit upper-level courses to solidify their foundation before entering graduate school.
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I'm planning on entering graduate school to obtain a PhD in elementary particle physics. I graduated in 1996 with a physics major. I have NOT worked in this field since that time - I now have a J.D. instead.

I need to refresh my math and physics skills to take the GRE. I would imagine a year or two of courses before I'm ready to take it. I need to know what people would recommend to brush up on skills. Obviously, I do not want to start with Classical Physics I all over again.

Here's what my undergrad experience consisted of:

Classical Physics (I, II, and III plus labs)
Applied Math for Physics and Engineers
Quantum Mechanics
Electronics & Instrumentation (plus lab)
Experimental Modern Physics
Electromagnetic Fields
Classical Dynamics
Linear Algebra
Differential Equations

and others I can't recall now.

I've never had a thermodynamics course, and I need to brush up on math skills, so those are areas I will probably focus on again. What else can people recommend?
 
Physics news on Phys.org
Real & Complex Analysis, Functional Analysis, Statistics, Probability, Computer Programming Langauge (C/C++, Fortran), Discrete Math, Topology, Abstract Algebra, Partial Diff EQ

Heck what's the point of going to grad school if you don't plan on making a difference, right? Might as well take more math courses in Differential Geometry and Nonlinear Dynamics
 
To prepare for grad school, it will be nice to learn some complex analysis, abstract algebra (group and representation) and differential geometry (tensor calculus and differential forms) in particular if you want to do theoretical elementary particle physics. Numerical analysis is needed for simulation work; at the very least you may need to write a code using the Runge-Kutta methods.

You will need some training in statistics to do experimental high energy physics. Programming (C/C++, Matlab, Mathematica) is very important too. Labview is pretty useful if you want to do experimental work. LaTeX is handy for typesetting articles and notes.

For the physics GRE, what you have learned as an undergraduate is sort of enough. However, a substantial part of the exam tests topics like statistical mechanics/thermodynamics and solid state physics. Not knowing these topics means that you probably can't answer around 10-15 percent of the questions.
 
alligator...your the lawyer dude who posted about deciding on phd right? if so ...coo hope you enjoy your endeavours into physics.
 
Yep, I'm the "lawyer dude". I'm considering about two years on the third and fourth year classes again as a refresher. That way I have most of my foundation intact.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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