Would love some Linear Alg and Modern Phy advice :)

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The discussion centers on preparing for modern physics and linear algebra courses. The syllabus linked is considered standard for introductory courses. Participants recommend self-studying by reading chapters and solving problems from established textbooks, particularly the Serway book for physics. It is emphasized that engaging with problems is crucial for learning. For linear algebra, focusing on proofs is suggested, along with working through the relevant textbook. Overall, the consensus is to prioritize self-study and practice over watching lecture videos.
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Hi guys! Since I'm about to embark on modern physics and linear algebra next year, I've decided to join this community to garner new insights and expose myself to various questions to prepare myself for next year. To begin, I have a few questions for you guys to preempt my preparation.

Take a look at this: http://www.seab.gov.sg/content/syllabus/alevel/2016Syllabus/9811_2016.pdf
To those who have gone through a modern physics course, how would you rate the difficulty of the above syllabus?

Also, I currently have a few modern physics textbooks (namely physics for scientists and engineers and university physics) with solution manuals. What would you veterans recommend me to do for the next 2 months to best prepare myself for next year's modules? Should I begin self-studying the topics and attempting the practices? If so, does anyone have any lecture videos/series to recommend for me to follow? <likewise for linear algebra>

Thank you and it is indeed an privilege for me to be able to communicate with people of similarly great interest in physics here!
 
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geoboom said:
Hi guys! Since I'm about to embark on modern physics and linear algebra next year, I've decided to join this community to garner new insights and expose myself to various questions to prepare myself for next year. To begin, I have a few questions for you guys to preempt my preparation.

Take a look at this: http://www.seab.gov.sg/content/syllabus/alevel/2016Syllabus/9811_2016.pdf
To those who have gone through a modern physics course, how would you rate the difficulty of the above syllabus?

Also, I currently have a few modern physics textbooks (namely physics for scientists and engineers and university physics) with solution manuals. What would you veterans recommend me to do for the next 2 months to best prepare myself for next year's modules? Should I begin self-studying the topics and attempting the practices? If so, does anyone have any lecture videos/series to recommend for me to follow? <likewise for linear algebra>

Thank you and it is indeed an privilege for me to be able to communicate with people of similarly great interest in physics here!

Hey Geoboom,

The course looks like a pretty standard intro using standard freshman/sophomore texts. Self study can't hurt, just read the chapter and then attempt as much of the problem set as possible from the Serway book. I wouldn't recommend any videos, just read and do problems, you'll discover you learn the most from the problems, but you probably already know that...

Linear Algebra is interesting, you might want to read up on proofs. Get the text you'll end up using and do the same thing, read -> work problems -> work through the proofs.
 
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Student100 said:
Hey Geoboom,

The course looks like a pretty standard intro using standard freshman/sophomore texts. Self study can't hurt, just read the chapter and then attempt as much of the problem set as possible from the Serway book. I wouldn't recommend any videos, just read and do problems, you'll discover you learn the most from the problems, but you probably already know that...

Linear Algebra is interesting, you might want to read up on proofs. Get the text you'll end up using and do the same thing, read -> work problems -> work through the proofs.

Thank you very much for your response! Really appreciate the insights offered; I'll get started with studying and practices! :)
 
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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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