Programs What are some good physics courses for math majors?

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The discussion centers on the intersection of mathematics and physics, particularly for a math major interested in pursuing physics courses. Key topics mentioned include the importance of classical mechanics, specifically analytical mechanics, which encompasses Euler, Jacobi, and Hamiltonian formalism. The conversation highlights the relevance of Lagrangian and Hamiltonian mechanics, emphasizing their mathematical depth and application in understanding physical phenomena. The individual expresses a desire for courses that integrate advanced mathematical concepts, such as partial differential equations and analysis, within the context of physics. The interest in applied physics is also noted, particularly regarding its focus on real-world applications like trajectories and collisions.
Chris11
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Hey, I'm a math major, and I want to take some physics courses. What are some physical topics that have a lot of really interesting math, be it PDEs, analysis, eccetera?
 
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I'm required by my university to take Physics I & II, but I've also taken a class on introductory astrophysics/cosmology. It was very interesting, though not only because of the math. Years ago I took a class called Applied Physics which was pretty good. It covered the mathematics of things in the natural world (trajectories, collisions etc..) and held my attention quite well.
 
Analytical Mechanics.

Or in other words the classical mechanics after Newton's formalism, i.e Euler,Jacobi,Hamilton's and co formalism.

Other keywords, lagrangian mechanics and hamiltonian mechanics.
 
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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