Integral Calculus vs Topology vs ODE

AI Thread Summary
The discussion centers on selecting a final math elective for a Physics/Math major, with the options being Integral Calculus, Topology, or Theory of Ordinary Differential Equations. The individual has a comprehensive schedule already covering advanced topics in calculus and differential equations, leading to the suggestion that further courses in these areas may not be necessary. Topology is considered less relevant to physics, although its difficulty is noted. There is also a mention of the absence of a standalone quantum mechanics course, which is typically included in modern physics classes. The need for a math class for the math major is emphasized, along with an interest in Nonlinear Dynamics and Chaos as another potential option. Overall, the choice of elective should align with future studies and interests in physics.
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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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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