Schools Recommended Math Courses for grad school

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Graduate schools in physics typically expect students to have a solid foundation in standard mathematics, including Calculus, vector calculus, linear algebra, and Differential Equations. To enhance an application, prospective students are encouraged to take additional courses such as Partial Differential Equations (PDE), complex analysis, and real analysis. While these advanced topics are not universally required, they are beneficial, especially for those interested in specific fields like general relativity, where differential geometry and topology may also be relevant. The mathematical background needed can vary depending on the area of physics one intends to pursue, such as experimental particle or atomic physics.
gccphys
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Hi
I am in my third year undergrad, and am planning to study physics in graduate school.

I was wondering if anyone knows what sort of math graduate schools expect and or want incoming students to have? Mostly, I mean besides Calculus, vector calculus, linear algebra, and Differential Equations. I consider those to be fairly standard. But what sets you apart as an applicant, in terms of math?

Furthermore, what is expected of students in terms of mathematical coursework? What are students expected to know coming in?

Thanks.
 
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gccphys said:
Hi
I am in my third year undergrad, and am planning to study physics in graduate school.

I was wondering if anyone knows what sort of math graduate schools expect and or want incoming students to have? Mostly, I mean besides Calculus, vector calculus, linear algebra, and Differential Equations. I consider those to be fairly standard. But what sets you apart as an applicant, in terms of math?

Furthermore, what is expected of students in terms of mathematical coursework? What are students expected to know coming in?

Thanks.

I don't know if they "expect it", but besides the standard most physicists will do terminal/introductory courses in PDE, and complex and real analysis. Some will go even go as far as differnetial geometry and topoglogy.

I don't know what students are expected to know, but from the grad books I read, you should definitely consider doing some of the courses I listed, especially PDE and complex analysis.
 
I only had the courses you listed. The PDEs and real/complex analysis were covered in my mathematical physics courses (which were in the physics dept). The only time I used differential geometry and topology were in my general relativity course - if you're not planning to take that, then you probably don't need them (as far as I know).
 
This depends a lot on the fields you want to go into. Care to give us more details?
 
tmc said:
This depends a lot on the fields you want to go into. Care to give us more details?
Well I'm not entirely sure what I want to go into. At the moment I'm interested in experimental particle and atomic physics.
 
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"...
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...

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