this is a great video but throughout the entire video i've just been thinking how the people who made math made it so that the simplest thing is incredibly complicated, like saying that (1/2)/√3/2 is π/3, why couldn't they have just kept it at π/3
22:33 I struggled w/ 1/2 x 1/2 being less than 1/2 In school they taught me Multiplication was repeated addition, so I was thinking it should be 1 Being frustrated w/not understanding, I drew a square & labeled each side 1/2. Then as I looked at my square, I thought, how do I get to 1. I drew another box on top & one to the side. That was three boxes & only one more to complete the full 1 square. I finished the square & realized multiplying by a fraction is division. They lied to us when we were young. Now I even know multiplication can be repeated subtraction.
Really wonderful video that clearly explains calculus well and easily understand. If my math teacher is like this, I would undertand the concept of calculus 20 years ago.
Great video, excellent breakdown and template that I can actually use. This video was fantastic and expertly put together, I have read Anders Erickson book on deliberate practice but was left without actionable steps, this video provided exactly what I was looking for. Thanks for taking the time and effort to make this wonderful video. Keep up the great work and God Bless.
I think limits are grossly overrated. My first university calculus lecture started with the epsilon delta defnition and ode/complex-variables used cauchy sequences heavily. To date, I've never been able to justify using a limit I couldn't prove by other means. What's more, is that you don't need them to safely transform variables; if you use a type system a variable is just type of reference to some datum, or other reference to it. What's even more is that if you think of sequences as being associstive or commutative, you can define continuity as a property of commutative sequences; order does not affect value of sequence terms; with respect to some operator. Associative sequences can aslo be thought of as time-like sequences. Nesting commutive sequences as terms of associative sequences yields languages that use binary operators. and you can always count everything by using maps from ordinals.
I laugh at the fact that indoctrinated people think they are smart or correct and could never be fooled by a well planned education system of lies Just look how fat Dunning is and that we know bad cheap fatty food is unhealthy. Just saying geniuses.
My question is why do so many think that the info being fed to the dumbed down minds is truths or reality? What makes the masses think they are right because a small group of elites feed whatever info they want to be taught to the masses because they own and control the systems. Tell me I'm wrong and explain. Now Mask uo , closed only small businesses and obey getting experimental shots. Pathetic weak divided societies. LMFAO
I for one believe that some people are too damn ignorant and proud to admit their lack of knowledge even when it is logically brought to their attention. This seems to occur rather exponentially in the political arena. And we surely see the results of this, do we not? LOL -
The formula for a cube, the formula for a sphere, the formula for a cone, slope of a line, point slope, and quadratic formula. I've got them memorized. Taught myself calculus. Seems pretty simple to me. Einsteins equations make perfect sense to me. E=mc2. A no brainer! Lol.
And vice versa. Genius's maybe fools. Good way to test is turn off life support. Masses (sheltered/educated) need the electric lung. W/o power majority wouldnt last a month
You may have looked at the circle and immediately noticed that X squared Y squared is R squared, but you didn't tell me how we should recognize this? Where did this fact come from?
Hello Teacher, I'm from Italy and I'd like to know, if possible, how to find a math formula that could describe (and, hence, create in Grapher 2d/3d) figures that are the result of vibrational iron plates covered with sand, in consequence of vibrations (in different frequencies) like it can be seen in this video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-wvJAgrUBF4w.html I understand it's not an usual question. Thank you so much in advance for your kind reply.
Maybe someone already mentioned it but the trig identities listed at 36:32 have the x,y value backwards for sin/cos 30 degs. Sin (y) should be 1/2 and cos (x) sqrt3/2. Not a nit pick, just good of the order. Great video!