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Have you seen the Essence of Linear Algebra video series posted to HN a few days ago? Seeing the geometric transformations animated gives you intuition hard to

• mindcrime 10y ago
  Yep. Watched the first 3 or 4 of those right after they were posted. Good stuff. I'm not really focusing on Linear Algebra yet, but definitely looking forward to digging into those and the Gilbert Strang ones on LA.
  • espeed 10y ago
    The course that follows the MIT calculus course is "Differential Equations" (which is like applied calculus): MIT Differential Equations: https://www.youtube.com/watch?v=ZvL88xqYSak&list=PLUl4u3cNGP63oTpyxCMLKt_JmB0WtSZfG https://www.youtube.com/watch?v=ZvL88xqYSak&list=PLUl4u3cNGP... Don't overlook mathematical analysis -- real analysis, complex analysis, etc -- that's another big leg of the mathematical stool, with geometrical foundations underpinning it all. https://en.wikipedia.org/wiki/Mathematical_analysis https://en.wikipedia.org/wiki/Mathematical_analysis https://ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012/lecture-summaries/ https://ocw.mit.edu/courses/mathematics/18-100c-real-analysi... As you self-study and progress into upper level math, you'll come across abstract and unfamiliar topics you didn't learn about in calculus/algebra -- and sometimes it's hard to pin down what category the topic falls under -- when that happens, the topic will often be related to analysis, group theory, or topology (courses taken by math majors but not as widely known). See http://nada.kth.se/~axelhu/mapthematics.pdf http://nada.kth.se/~axelhu/mapthematics.pdf and http://space.mit.edu/home/tegmark/toe.gif http://space.mit.edu/home/tegmark/toe.gif Crosslinks for all MIT courses: http://crosslinks.mit.edu/topics/?query=subject18.100 http://crosslinks.mit.edu/topics/?query=subject18.100