Calculus: Is it Really That Hard?
Considering most people don't seem to have separate concepts of fact and opinion beyond "a fact is an opinion held by someone badass enough, by someone I respect or by myself", they probably believe what science actually does is impossible. They must think you're funny in the head if you suggest real-life phenomena like the behavior of a pendulum, or a bike, or an electric circuit, or chemical reäctions can be predicted accurately following precisely formulated laws. Something so boring and nerdish can't possible have any use at all.
No wonder they view math as a whimsical toy which serves no purpose but helping wicked teachers to gratuitously torture their students, and nerdy losers to conceitedly believe they're better for mastering it.
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The red lake has been forgotten. A dust devil stuns you long enough to shroud forever those last shards of wisdom. The breeze rocking this forlorn wasteland whispers in your ears, “Não resta mais que uma sombra”.
Yea, I've met my share of blue collar workers who look down on all forms of higher-education. I've never used calculus for anything work-related, although I did use the law of cosines to design a control board. Math is my ticket to understanding anything abstract, there's no way I can read paragraph after paragraph and draw the picture in my mind, it just doesn't work like that.
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I'm a math evangelist, I believe in theorems and ignore the proofs.
Calculus is necessary to learn how to solve differential equations. This is necessary if you want to do work in such fields as physics, engineering or statistical analysis. Newton invented differential equations to describe motion. D.E. are essential.
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Socrates' Last Words: I drank what!! !?????
The really cool thing about math and engineering is that it can provide guidance on what is possible and how close you are to being there.
https://en.wikipedia.org/wiki/Shannon%E ... ey_theorem
Shannon's channel capacity theorem is one of the more useful ones during my years of study and work.
Like most things, whether calculus is easy or not will depend on your own ability and attitude, but also it will heavily depend on the quality of the teacher. I found that my college professor was not as "clear" and instructive as this youtube math teacher PatrickJMT. For anyone taking calculus courses who want clear examples of how to solve equations, I cannot recommend PatrickJMT enough. I along with several other people I know gained great benefit from his channel.
https://www.youtube.com/user/patrickJMT
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“In the same way that you see a flower in a field, it’s really the whole field that is flowering, because the flower couldn’t exist in that particular place without the special surroundings of the field; you only find flowers in surroundings that will support them. So in the same way, you only find human beings on a planet of this kind, with an atmosphere of this kind, with a temperature of this kind- supplied by a convenient neighboring star. And so, as the flower is a flowering of the field, I feel myself as a personing- a manning- a peopling of the whole universe. –In other words, I, like everything else in the universe, seem to be a center… a sort of vortex, at which the whole energy of the universe realizes itself- comes alive… an aperture through which the whole universe is conscious of itself. In other words, I go with it as a center to a circumference.”~ Alan Watts
Later, I would try to study math like college algebra myself from books but I found that it is very difficult to go to even study after work when one is on the spectrum. I feel so exhausted from work I cannot even open a book. I hear that NT people work full time and go to school full time and now, I wonder if they are lying.
So all of you who are on the spectrum and good at advanced math, what is the truth? When you took the class, was it really that bad? Did you get a decent grade? Was I misinformed? It turns out that our high school, few people go to college even today so would I have heard this at a better school? Looking forward to the answers.
I am on the spectrum (Aspie). graduated with a degree in mathematics and worked for many years as an applied mathematician.
As for calculus, the main difficulty is grasping the concept of a limit. All the rest is algebra and trig. Integration is a b***h. Not all integrals can be expressed in closed form and can only be approximated by infinite series or sequences of rational functions.
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Socrates' Last Words: I drank what!! !?????