In my endeavor of self learning calculus, I realized that there was something a little off about the subject. I would watch Khan Academy, MIT Opencourseware, and even cracked open my college textbook of calculus before I could even enroll in my Calc 1 class. I noticed that all of them introduced Calculus without mechanics. In my opinion, teaching calculus without an intuitive application approach was just unsettling to me. Everyone has that nagging question as to WHY WHY WHY am I learning limits, and derivatives etc. Teaching the calculus with mechanics consolidates the "why" a lot. Sure, one could say that a general physics course covers that. But even if one just starts learning the calculus in a math course, the intuitive physical approach makes things come together a lot easier. Then, a follow up of concise rigorous definitions should come through to make things rock solid and clear up any sort of "what ifs" after the "whys" are answered. I don't see how so many books and professors focus on formalism and rigor while completely ignoring the intuitive "physical" approach in the first place?? I picked up a couple of old calculus books from the library, and compared them concept by concept, with books published now, and it really makes me wonder what in the world goes through people's heads to write such books and somehow get it published to students!? The text is always dry, mundane, and impersonal. For an introduction to the end of a unit, one is spatted out formulas with concise formal definitions of the concept, and they seem to be written in a borderline non-human tone. It almost makes me wonder if the people who write these books are machines? Well, that's just my quick rant on books or colleges having higher math completely ignore the application viewpoint of this subject, particularly when a concept is being introduced. While putting rigor and formalism on the pedestal in education. Do you guys agree or disagree with my arguement? Let me know!