The course that follows the MIT calculus course is "Differential Equations" (which is like applied calculus): MIT Differential Equations: https://www.youtube.c

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