Understanding Material: Deriving Equations and Applying to Problems

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Deriving equations is essential for a deeper understanding of the material, as it connects theoretical concepts to practical applications. This process helps in grasping how mathematical principles apply to specific problems. It is suggested that engaging with the material through derivation can enhance comprehension and problem-solving skills. Reading the material first can also be beneficial, but actively deriving equations reinforces the connection between theory and application, which may improve overall performance in the subject.
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Hey all,

I need a little advice. Are we suppose to derive equations in order to lead to understanding of the material? What is the point of deriving equations? Should I instead read the material first and see how it applies to the problems? I don't do any of this and maybe that's why i have not been doing well.
 
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cs23 said:
What is the point of deriving equations? Should I instead read the material first and see how it applies to the problems?
Deriving equations is basically stepping through the material to see how it applies to problems, but doing it in a mathematical way. The whole point is that you trace through from the highly theoretical math/calculus form to the ultra applied discrete/quantitative form.
 
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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