Computation Structures 12 6.006 Introduction to Algorithms 12
6.009 Fundamentals of Programming 12
6.031 Elements of Software Construction 15
6.033 Computer Systems Engineering (CI-M) 12
6.034 Artificial Intelligence 12 or 6.036 Introduction to Machine Learning
6.045[J] Computability and Complexity Theory 12 or 6.046[J] Design and Analysis of Algorithms
I would say all but (maybe) the last two (one) are about computers (maybe the first one in between). I just picked MIT as a random example, just to illustrate my general impression.
Is the essence of math calculus? That gets shoved down undergrad throats. It is even an important subfield of mathematics. But its hardly the essence.
Required Subjects 18.03 or 18.032 (formerly 18.034) (Differential Equations) [sufficiently advanced students may substitute 18.152 or 18.303]
18.100 (Real Analysis)
18.701 (Algebra I)
18.702 (Algebra II)
18.901 (Introduction to Topology)
One of the following three Subjects
18.101 (Analysis and Manifolds)
18.102 (Introduction to Functional Analysis)
18.103 (Fourier Analysis — Theory and Applications)
Personally I think this is a good impression on math of course in research you cannot do what is know already, but I would say, if any of these subjects above would be not already fully developed there would be researched today, so basically the undergrad covers an essential part of what we know (have researched) which I do not think people would say ah come on today one wouldnt research this (if not for the reason of course that the research has been done)
Turns out water is overrated (as far as complexity theory goes).