Building a step by step course for different subjects in mathematics

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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
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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
 
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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.
 
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