What to brush up on? Modern Physics I and Vector Analysis

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The discussion revolves around upcoming courses in physics and mathematics, specifically focusing on PHYS 3315: Modern Physics I and MATH 3335: Vector Analysis. PHYS 3315 covers key concepts in quantum physics and relativity, requiring prerequisites in classical physics and concurrent enrollment in advanced mathematics. MATH 3335 involves vector calculus and differential operators, with a prerequisite in calculus. Participants emphasize the importance of understanding energy and momentum concepts, as well as the -1/r potential energy function, which are crucial for topics like the hydrogen atom and Schrödinger's equation. Clarifications are made regarding the distinction between algebra-based and calculus-based physics courses, with the latter being essential for the modern physics curriculum. Overall, the conversation highlights the preparatory knowledge needed for success in these advanced subjects.
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I'm taking these next semester. I'm taking Differential Equations right now, so I'll have that under my belt.

PHYS 3315: Modern Physics I
Cr. 3. (3-0). Prerequisites: PHYS 1301 and 1302, or PHYS 1322, and credit for or concurrent enrollment in MATH 3331. The fundamental concepts of quantum physics and relativity. Applications to atomic structure and spectra, black body radiation, solid state physics, and nuclei.

MATH 3335: Vector Analysis
Cr. 3. (3-0). Prerequisite: MATH 2433 or approval of department chair. Algebra and calculus of vectors, vector differential operators, Green's and Stokes' theorems, curvilinear coordinates, tensors.
 
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Anyone? lol.
 
I assume 1301 and 1302 are a standard calculus-based intro (classical) physics sequence. For modern physics, I'd suggest reviewing energy and momentum concepts. If you covered the -1/r potential energy function for electrostatics and/or gravity, you'll probably need that when you get to the hydrogen atom. And when you get to Schrödinger's equation, you'll be using basic wave functions like \cos (kx - \omega t). And complex numbers.
 
jtbell said:
I assume 1301 and 1302 are a standard calculus-based intro (classical) physics sequence. For modern physics, I'd suggest reviewing energy and momentum concepts. If you covered the -1/r potential energy function for electrostatics and/or gravity, you'll probably need that when you get to the hydrogen atom. And when you get to Schrödinger's equation, you'll be using basic wave functions like \cos (kx - \omega t). And complex numbers.

Actually, the cal-based courses are 1321 and 1322, University Physics I and II, which I took. Phys 1301 and 1302 are the algebra-based courses, General Physics I and II.

I'll jump on those chapters once this semester is over. Thanks for the info.
 
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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