Most effective way to study physics

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To effectively prepare for the Caltech transfer exam, it is crucial to review the specific topics outlined on the Caltech admissions website. Utilizing textbooks from community college is generally sufficient for the exam's math and physics sections, but a preparation period of more than 2-3 weeks is recommended for optimal results. It is important to note that the exam's difficulty may not fully reflect the level of coursework at Caltech. Therefore, acquiring and studying advanced math books used at Caltech, particularly those by Tom M Apostol on single variable calculus, linear algebra, and multivariable calculus, is advisable before transferring. This preparation will help bridge the gap between community college material and Caltech's curriculum.
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What is the best approach?

I am considering taking the caltech transfer exam. What would be the most effective way to prepare?
 
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Doing lots and lots of review questions over a 2-3 week period before the exam.
 
First, you might want to go to http://admissions.caltech.edu/applying/transfer to see exactly which topics will be on the test. To study for it, the books you used at your community college should be good enough to get a reasonable grade on both the math and physics portions. However, you should spend more time then 2-3 weeks. A word of caution: if you do take the test and do well enough to get admitted, note that the transfer test's difficulty is not quite up to par with what freshman are studying over there. You might want to get the math books they use and study them over the summer before you arrive as a transfer; as they are quite a bit more advanced than what is covered at most community colleges. Caltech's single variable calculus, linear algebra, and multivariable calculus books are written by Tom M Apostol and can easily be found on amazon. Nevertheless, the books from your community college are fine for studying for the test.

Best of luck on the test man; I know you can do it.
 
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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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