Advice for Aspiring Math-Physics Double Major

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The discussion centers on an undergraduate student preparing to double major in Physics and Mathematics, seeking guidance on the appropriate mathematical path, particularly regarding real analysis. The importance of pure mathematics is highlighted, with an emphasis on how it can enhance understanding in physics. One participant shares their approach to learning, which involves studying physics topics of interest and then exploring the necessary calculus concepts, suggesting that practical application can drive mathematical learning. They note that while physics may not delve deeply into analysis, foundational skills in algebra, differentiation, and integration are crucial. Additionally, the importance of consulting an academic adviser to clarify required courses for the major is emphasized, ensuring the student is aware of both mandatory and optional classes in their program.
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Advice PLEASE!

I am an Undergraduate going into my junior year and aspiring to double major in Physics and Mathematics. I am really confused on the path of Mathematics that I should take. I am very interested in taking the real analysis sequence I just really would like to hear from someone who has walked the path. How much can Pure Mathematics help me? I would really appreciate it if you gave me some of your "hindsight" as I am going to be a junior this coming fall 2011 . Thank you
 
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I don't have hindsight since I never went to college (well... I dropped out).

I can say, however, that the way I study physics and calculus is driven primarily by whatever grabs my interest in the former field, physics.

I take some physics subject I'm currently interested in, and then hit the calculus books so that I can learn the requisite mathematics.

At the moment for example, I'm learning about calculating moments of inertia for 2D and 3D objects, so I'm reading the bits in my vector calculus text about volume integrals.

In the immediate future after that I'll probably be curious about Gauss' Law, so the chapter in the math text on surface integrals is starting to get on my radar.

I don't think any subject in physics would ever lead you into the depths of analysis though. In therms of mathematics I always find that the most fruitful way to spend my time is to be sharpening my skills with the usual tricks of algebra, differentiation, and integration; and also the physical intuitions related to those three as well.
 


I'll give you some advice. You should give your threads meaningful titles. You will get more responses.
 


I would imagine that real analysis is required for anyone trying to obtain a major (or double major) in math.

Perhaps you should talk to your academic adviser to make sure you know what courses are required and what ones are not. At the very least you'll know what math courses you need to take vs. what courses are optional in your program.
 
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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