Integral Calculus vs Topology vs ODE

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Discussion Overview

The discussion revolves around the selection of a final math elective for a Physics/Math major, specifically considering Integral Calculus, Topology, or Theory of Ordinary Differential Equations. Participants explore the relevance and benefits of these courses in relation to the participant's future studies in physics.

Discussion Character

  • Debate/contested
  • Exploratory

Main Points Raised

  • One participant suggests that the existing schedule already covers much of the content in Integral Calculus and Differential Equations, implying that additional courses in these areas may not be necessary.
  • Another participant expresses uncertainty about the relevance of Topology to physics, noting that it may be the least applicable of the three options.
  • Some participants mention that the choice may depend on the specific area of physics the participant intends to pursue after undergraduate studies.
  • There is a suggestion that taking a course in Quantum Mechanics would be more beneficial than another math class, although the participant notes that Modern Physics I and II will cover some quantum mechanics concepts.
  • One participant introduces the idea of Nonlinear Dynamics and Chaos as an interesting alternative course, though it is not one of the original options considered.

Areas of Agreement / Disagreement

Participants express differing opinions on the relevance of Topology compared to the other courses, and there is no consensus on which course would be the most beneficial for the participant's future studies in physics.

Contextual Notes

Participants acknowledge that the relevance of each course may vary based on the specific focus within physics that the participant intends to pursue. There is also mention of the participant's existing course requirements, which limit their options.

ZeroZero2
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I'm a Physics/Math major- and am setting up my degree plan
I've posted a similar thread before but now I only have one math elective left (and a boatload of choices, all of which sound interesting)
I've narrowed it down to either:

Integral Calculus, Topology, or Theory of Ordinary Differential Equations

I plan to pursue physics after my BS, so which one of these would be the most beneficial??



This is the rest of my schedule:

Calculus I, II, III
Linear Algebra
Abstract Algebra
Differential Equations
Partial Differential Equations
Advanced Multivariable Calculus
Intermediate Analysis
Complex Analysis
Vector Analysis
Differential Geometry I, II

Physics I, II (+ Labs)
Modern Physics I, II (+ Labs)
Seminar in Laboratory Analysis
Intermediate Mechanics
Modern Optics (+Lab)
Thermal Physics
Intermediate Electromagnetic Theory I, II
Computational Physics
Particle Physics


Thanks! :smile:
 
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Well from the looks of your schedule, it looks like you will already be covering all your choices in your other classes. Topology probably the least of all I would guess, but I'm not that familiar with the subject.

If your doing physics, you already are going to be using so much calculus and differential equations, it doesn't really seem practical to take more courses in that area, unless you want too to boost your GPA.

Also depends on what you want to study after undergrad. I have heard topology is quite hard though, and I doubt it is that related in most areas of physics. I'm sure you will have a better idea of what you want to take by the time your ready to take those classes.

Also...no quantum mechanics? I know you may cover some of that in particle physics, but usually most undergrads have to take year of quantum. If that's an option, then I would definitely choose that over another math class.
 
nlsherrill said:
Well from the looks of your schedule, it looks like you will already be covering all your choices in your other classes. Topology probably the least of all I would guess, but I'm not that familiar with the subject.

If your doing physics, you already are going to be using so much calculus and differential equations, it doesn't really seem practical to take more courses in that area, unless you want too to boost your GPA.

Also depends on what you want to study after undergrad. I have heard topology is quite hard though, and I doubt it is that related in most areas of physics. I'm sure you will have a better idea of what you want to take by the time your ready to take those classes.

Also...no quantum mechanics? I know you may cover some of that in particle physics, but usually most undergrads have to take year of quantum. If that's an option, then I would definitely choose that over another math class.

Modern Physics I and II will cover QM along with Relativity (there is no stand alone QM class :frown:)

Also, DE and PDE are required for a physics major so I have no choice.

I need another math class for my math major so I can't replace it with a physics course.
 
Another class that looks interesting is Nonlinear Dynamics and Chaos
 

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