Strang must be a centuries-old vampire by now, but seems way more in touch with math in the real world than most live math teachers. The curriculum, grade school through undergrad, hasn’t been significantly revised since computers happened. Suitable for zombies, not vampires.
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I don’t know; I wasn’t paying attention to my classmates’ difficulties at the time. I gather that most people want to see concrete examples and methods first, and principles later or (preferably) never.
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Right! It’s super important to understand the fundamental concepts, I think. Formulas for derivatives and integrals of obscure trig functions, not so.
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Spotify uses a lot of linear algebra to determine the Discover Weekly playlist recommendations that everyone seems to love.
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Yup. Also the foundation of the Google search algorithm, most machine learning methods, most mechanical engineering software, …
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I can agree that most computational tasks end up reduced to linear algebra, and comp lin alg is super important and underapreciated - but "you’ll never actually have to solve an integral"? That seems too much, you can't do serious probability without analysis.
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How many people do serious probability?
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Basic calculus would most usefully be taught out of a book like this one:http://www.cambridge.org/au/academic/subjects/mathematics/real-and-complex-analysis/calculus-ambitious?format=PB&isbn=9781107686748#ybGM0ePLUgXuBioV.97 …
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I like the title :)
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My wiki-book crash course on 'Algebra&Number Theory' (A-Z). 307 links. https://en.wikipedia.org/wiki/User:Zarzuelazen/Books/Reality_Theory:_Algebra%26Number_Theory …
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Found this article entitled 'The Matrix Calculus You Need For Deep Leaning' though - they're talking about needing some really advanced calculus here! http://parrt.cs.usfca.edu/doc/matrix-calculus/index.html?utm_campaign=Revue%20newsletter&utm_medium=Newsletter&utm_source=Intuition%20Machine%20 …
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