Courses Math Classes for Accelerator Physics PhD

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An undergraduate physics major with a mathematics minor is seeking advice on upper division math courses beneficial for a future in accelerator physics. The individual has completed lower division courses, including differential equations, linear algebra, and calculus, and is considering further studies in linear algebra and algebra. It is suggested that consulting with faculty experienced in accelerator physics at UCLA could provide tailored guidance, as course content can vary significantly between institutions. The discussion emphasizes the importance of selecting math classes that align with the specific requirements of accelerator physics.
Rafimah
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Hello!

I am an undergraduate physics major with a minor in mathematics. I'm very interested in accelerator physics and would like to pursue a PhD in it eventually. However, I am not sure what math classes would be best to take for this. For our math minor, we can take any five upper division math classes and I'm not sure which ones would be best for this. I think linear algebra would be important but beyond that I'm at a loss. Does anyone have any suggestions here?
 
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It might help to identify which courses you have under your belt or are currently taking, as well as some of the potential courses you have available to you.
 
Sure, I've taken all the lower division courses (differential equations, linear algebra, and calculus) and now I'm looking at upper division linear algebra, and algebra, mainly. Below is a link to all math classes, I can take any numbered from 110 to 199.

https://www.math.ucla.edu/ugrad/courses
 
What is covered by various math courses differs surprisingly between universities, so I'd talk to someone experienced in accelerator physics at UCLA to get their opinion. There is no shortage of these people there!
 
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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