Partial differential equations, or Higher geometry one?

AI Thread Summary
The discussion centers on the choice between two university courses: Partial Differential Equations (PDEs) and Higher Geometry I. The consensus is that PDEs are more applicable to a physics major, as they are crucial for understanding various physical phenomena through equations related to wave, heat, and Laplace problems. In contrast, Higher Geometry I focuses on pure mathematics and non-Euclidean geometry, which is deemed less relevant for practical applications in physics. The participant confirms they have met the prerequisites for both courses, reinforcing the decision to prioritize PDEs for their future studies in physics.
romsofia
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The local university offers both partial differential equations and higher geometry I (both of which seem equally interesting to me!), but they are only offered during the same time! As I'm most likely going to major in physics when I go to college, which class would have more applications to physics?

Higher geometry I description is:
Studies the foundations of modern geometry by examining axiomatic systems for various geometrics, with an emphasis on non-Euclidean hyperbolic geometry.

Partial differential equations description is: Infrequent. Initial/Boundary value problems for first-order, wave, heat and Laplace Equations; maximum principles; Fourier Series and applications.

Thanks for the help!
 
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Hi romsofia! :smile:

Partial Differential Equations should be of more use to you. In fact, PDE's are very important in physics!
The geometry class looks like it is a pure mathematics class, and as such will be of less use to you...
 
micromass said:
Hi romsofia! :smile:

Partial Differential Equations should be of more use to you. In fact, PDE's are very important in physics!
The geometry class looks like it is a pure mathematics class, and as such will be of less use to you...

Thanks for the reply, I was thinking partial differential equations would be more beneficial, but I wasn't sure :x.
 
Just to be sure, you said that you were about to enter college. Have you taken an ODE course yet? That may be a prereq.
 
DR13 said:
Just to be sure, you said that you were about to enter college. Have you taken an ODE course yet? That may be a prereq.

Yeah, I have the prereqs for both classes :x.
 
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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