Building a step by step course for different subjects in mathematics

AI Thread Summary
To build a structured self-study course in linear algebra, optimization, statistics, and probability, it's essential to progress through various levels from beginner to advanced. Utilizing tools like Obsidian can enhance note-taking and organization, allowing for interconnected notes that resemble a personal knowledge base. For resources, a dedicated thread on math books is available, and platforms like Khan Academy and Math Is Power 4 U offer extensive video content covering essential topics from middle school to early college-level mathematics. These resources provide a solid foundation for anyone pursuing self-study in these mathematical fields. Additionally, exploring articles on self-study strategies can further aid in developing an effective learning plan.
chiraganand
Messages
111
Reaction score
1
Hi,

I mostly do Self study and I was wondering how to build up a course ie the.different levels from beginner to advanced in the fields of linear algebra, optimization (rbfs etc), statistics and probability? Suggestions of books with the various levels is welcome. Please help me out in this as I am all over the place
 
Physics news on Phys.org
Well one thing you could check out is Obsidian. Its a kind of note taking application that uses markdown+latex for entering notes. Notes can reference other notes to basically create a personal wikipedia of your notes.

I've been playing with it for a awhile now and like what it can do. You could use it to organize and interconnect your notes and thoughts on math.

https://obsidian.md/

We have a thread dedicated to math books:

https://www.physicsforums.com/threads/free-math-books.796225/

and there are good short videos on math at www.khanacademy.com and at www.mathispower4u.com

I particularly like Math Is Power 4 U since its a comprehensive set of 5000 videos covering middle school to first year college Calculus 1,2,3 Linear Algebra, Differential Equations and Statistics. Everything a budding scientist needs for undergraduate studies at college.
 
  • Like
  • Informative
Likes PhDeezNutz, berkeman and topsquark
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...
Back
Top