>>14263404>pure mathfocuses mostly on rigorous theory. has very abstract connotation. this is whay you major in to be a bonafide MATH NERD savant genius professor type. topics include number theory, algebra, analysis, topology.
>applied mathfocuses "developing the tool box" for use in the natural sciences, economics, etc. more practical connotation, involves using computers a lot. topics include numerical methods, differential equations, optimization, algorithms.
>SE and CSgenuinely very different. CS and applied math are more similar.