What do you think the best methods of Self-Teaching Phys/Maths are?

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The discussion centers on effective strategies for learning math and physics, particularly for individuals who need to catch up quickly. Key points include the challenges of balancing various learning resources, such as online videos and textbooks, which often contain excessive or irrelevant information. The importance of internalizing core concepts rather than just memorizing facts is emphasized. Participants suggest focusing on quality practice problems and engaging with the material through examples and puzzles. A dual-textbook approach is recommended, using one preferred textbook alongside another for clarification. Regular reading, note-taking, and working through instructive problems are crucial for deep understanding. The consensus is that active engagement and consistent practice are essential for mastering math and physics concepts effectively.
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I'm someone who's had to play a lot of catchup and thus have been exposed to a lot of new content in math and physics in a short, very short period of time (This includes completing my entire first/year phys course in 3.5 weeks).

I've experimented on so many different things from youtube teachers like Khanacademy, Lasseviren, PatrickJMT...I've borrowed textbooks and just sat and studied them...but it gets oh so horribly disorganized. On one hand, Textbooks contain a lot of non essential course information (Such as a giant section of EM being dedicated to molecular and dna biology in my physics textbook), and I am more or less looking to learn and internalize the core concepts fully. On the other hand, it's easy to watch a video because of how intuitive it is, but it's more or less showing very circumstantial conditions and teaching the bare minimums. Plus there aren't usually practice problems.

I'll be taking a lot of calc and phys this and next year and to do well I plan to read ahead and familiarize myself with the concepts in my spare time. I haven't decided the best course of action between my content source, how I am going to get quality practice problems, how I am going to take notes etc and would really appreciate if you guys should share some insight on the absolute best ways to /learn/ the content and not just memorize it.
 
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Find something you enjoy that requires the kinds of math/physics you want to learn.
Do lots of examples and puzzles.

You learn math/phys by doing math/phys.
 
For me anyway it is important to not waste days on problems I am stuck on. It is good to persevere for awhile. But at some point you are just wasting time. Now I write down problems I cannot do and take a look at them in a year or two. Often I can see what I needed to do.
 
Get a good textbook on a subject, two different ones if you can. Use one because you like it, and the other for backup when the primary is a little fuzzy. Try to read a textbook chapter every week. Take notes, work out examples yourself, prove the things "that can be shown," read the problems and do the ones you think are instructive (i.e. the ones you don't know exactly how to do).

You'll know more than anyone who actually took the class. Taught myself Quantum Mechanics and Calculus.
 
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