Programs Do I have a good math sequence for a Physics Major who want to go into QFT

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The discussion centers on a well-structured four-year college plan aimed at pursuing a career in Quantum Field Theory (QFT). The proposed math classes include Multivariable Calculus, Complex Variables, Linear Algebra, Differential Equations, Mathematical Physics, Applied Partial Differential Equations, Abstract Algebra, Differential Geometry, and Analysis 1, with a conditional plan to take Analysis 2 based on performance in the first course. The syllabus for Analysis 1 covers essential topics such as sequences, series, continuity, Riemann integrals, and the Beta and Gamma functions. Participants emphasize the importance of including Functional Analysis (Analysis 2) in the curriculum to enhance understanding, particularly for QFT. The overall feedback indicates that the chosen classes are appropriate for the intended academic and career goals.
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I like to plan ahead so as of now I basically have a good idea what my schedule will be like for all 4 year of college. I want to go into QFT eventually so I think the math classes I have decided to take will be best for that. They are Multivariable calculus( freshmen year 1st semester) Half a semester of Complex variable, Linear Algebra and Differentials equations( freshmen year 2nd semester), Mathematical physics( Sophomore year 1st semester), applied Partial differential equations ( Sophomore year 2nd semester), Abstract Algebra( Junior year 1st semester), Differential geometry( Junior year 2nd semester), Analysis 1( Senior year 1st semester) I'll take analysis 2 depending on how the 1st one goes. Also I'll stick in this required probability class during some summer session. How does it look these math classes.
 
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This course covers the study of basic topics in analysis with emphasis on methods. Sequences, series, functions, uniform convergence, continuity, partial differentiation, extreme value problems with constraints, Riemann integrals, line integrals, improper integrals, integrals with parameters, transformations, Riemann-Stieltjes integral, uniform and absolute convergence of integrals. Beta and Gamma functions.

This is the syllabus for my analysis class I will hopefully take if I make it.
 
Sounds decent.
 
Can anyone besides one guy give me there opinion. Btw thanks twofish-quant
 
It would be wise to take some functional analysis (I guess that's analysis 2). You won't be a lot with just analysis 1...
 
Thanks micromass if I do good in Analysis 1 I will take Analysis 2 for sure.
 
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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