Any good self-teaching resources?

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Self-teaching during the summer is a strategic approach to prepare for advanced courses in Calculus 3, Differential Equations, Linear Algebra, Thermodynamics, and Strength of Materials. MIT's online lectures are a valuable resource, but the need for practical application through example problems is emphasized. MIT's OpenCourseWare (OCW) offers comprehensive materials, including solved homework, quizzes, and exams, which can effectively demonstrate understanding. Additionally, Khan Academy provides useful videos for Calculus III, Differential Equations, and Linear Algebra. A collection of self-learning resources compiled by users on platforms like 4chan can further assist in this educational endeavor.
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Hello,

I'm interested in self-teaching over the summer in order to gain an advantage in the courses I will take next year. The subjects in question are:

- Calculus 3 (multivariable)
- Differential Equations
- Linear Algebra
- Thermodynamics
- Strength of Materials

I know that MIT has great online lectures, which I've been watching, but I would like something that has example problems I can do on my own. I need a way to demonstrate what I've been learning, and just mulling over the concepts won't do it for me.

Thanks in advance.
 
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Khan Academy has videos on calc III, diff EQ's, and linear algebra.
 
Try the Open Courseware from MIT it is very good.

http://ocw.mit.edu/index.htm

Thanks
Matt
 
I must not be understanding your question. If you know about MIT OCW, then you must know that they have courses in all of those subjects, and many of them include solved homework assignments, quizzes, and exams. That's how MIT students "demonstrate what they've been learning," so why wouldn't it work for you?
 
I only knew about the lectures on YouTube -- I had no idea they had all of these other course materials. Thanks!
 
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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