Partial differential equations, or Higher geometry one?

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Discussion Overview

The discussion centers around the choice between taking a course in partial differential equations (PDEs) and a course in higher geometry I, particularly in the context of their applications to physics. Participants explore the relevance of each subject to a physics major.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants argue that partial differential equations are more applicable to physics, emphasizing their importance in various physical contexts.
  • Others suggest that higher geometry may be less useful for a physics major, characterizing it as a pure mathematics class focused on axiomatic systems and non-Euclidean geometry.
  • A participant questions whether a prerequisite course in ordinary differential equations (ODEs) has been completed, indicating a potential concern regarding course eligibility.
  • Another participant confirms having the prerequisites for both classes, indicating readiness to take either course.

Areas of Agreement / Disagreement

There is a general agreement among some participants that partial differential equations are more beneficial for a physics major, while others express uncertainty about the utility of higher geometry. The discussion remains unresolved regarding the overall importance of each course.

Contextual Notes

Participants do not reach a consensus on the comparative value of the two courses, and there are varying opinions on the relevance of higher geometry to 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.
 

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