Courses Comparing Physics & Math in First Two Year Courses

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Upper division physics courses are generally seen as building on the foundational knowledge acquired in the first two years of study, with a greater emphasis on applying mathematical concepts to physical situations. Students report that while the material can be more challenging, it often resembles earlier courses in terms of structure, with some courses focusing more on mathematical rigor, like Electromagnetism, and others emphasizing conceptual understanding, like Mechanics. A key takeaway is the importance of retaining problem-solving strategies and concepts from earlier courses, as they are crucial for tackling more complex upper division problems. Many students find that they do not need to remember every detail from their introductory courses, as having access to old notes and textbooks can help bridge gaps in knowledge. Overall, upper division courses are described as more engaging and interesting, with a stronger focus on developing physical intuition.
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Edit: I meant "first two year physics courses vs first two year math courses" in the title.

I know each school is different as far as how professors teach, but for those of you who are in your 3rd/4th year and beyond as a Physics major, how would you compare the material?

I'm not asking if Upper Division courses are more difficult, but do they resemble something more similar to Freshman E&M where it seemed like there was more math (Vector Calculus) than concepts, or more like Mechanics where it was a tad the opposite? Maybe something like the third course in Physics (Waves-Thermodynamics-Relativity-QM) where it was "balanced?"

Would you say you had to remember quite a lot of the concepts and peoblwm solving strategies you learned in your first 3 Physics courses? I'm starting to feel a little anxious and would greatly appreciate any advice.
 
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I just started my upper division physics classes last quarter and to be honest its pretty similar. Obviously however, you're required to have a better grasp of the math at these levels and be able to apply it in physical situation. I think (and this is all opinion so take it as you will) that mostly you're going to notice a larger emphasis on physical intuition and whether or not things make "physical sense". But it's do-able and much more interesting than lower division stuff if you ask me.
 


Thank you mateomy! One last question, how much did you have to remember from your original Greshman/Sophmore Physics courses or was it like relearning everything in a new way all over again?
 


Well, it all builds on itself. If you can't -for instance- remember how to solve simple problems using Guass' Law in E&M the upper division problems will seem a lot more complicated and confusing. But if you don't remember everything that's not a big deal so long as you have old notes and problems to reference. I'd doubt most people, save for the rare few, could remember EVERYTHING from their old classes. Just save your books and notes. They almost always prove valuable.
 
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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