Відео

Keep posting content dummy

idk how but this vid is so relatable

The issue I think is that you haven't been asking your tutor to explain why everytiör you don't understand a thing. I recently finished AP Calc BC and learnt a few extra stuff in calc 2, and I understood all of the subjects as I was progressing. The problem mşght also have something to do with the tutor not being a good tutor as well, but fom my experiences, it usually is the lack of asking questions from the student.

eh. should let the kids play with op amps

:D

3:55

This is why the discussion of limits needs to start with limits of sequences, as it is more intuitive starting out. In a perfect world, we would start with the construction of the real numbers by considering cauchy sequences of rational numbers.

We do this in high school

And I definitely relate with this video so much...what's the point of doing calculus without knowing where and why everything comes from instead of being taught formulas and techniques.

Ever since I was taught integrals, the first and the most basic question I had about the very definition of integrals was as follows; every introductory book states that the area under a curve is the integral of that function...And that area can be approximated by thin rectangles, the width of whom tends towards zero, and we approach the 'right' value. So integration is basically 'summation' over a continuous distribution, or over real numbers as compared to discrete distribution, or integers...Then how come while integrating something like cosx, say for half a wave, not give us the sum of every real number from 0 to 1? I'm aware of the fact that there is no such method yet that may allow us to do something like that, but I fail to see what's wrong with my assertion, even though it probably is...I asked my teacher and well as I expected, all he said is ur looking at it wrong. Bruh.

Honestly for the last part its nice to know things have a reason instead of hoping to god it works on a whim

all this video did was make me appreciate how my own cal a class was structured, starting with limits and then going from limits into the idea of a tangent line to a curve representing the “slope” of the whole curve at that point, which then led into derivatives. Then, anti derivatives were introduced before integrals, shortly followed by the indefinite integral, which was explained as representing the set of all antiderivatives of the integrand function. From there, we briefly covered finite sums and sigma notation and then Riemann sums, which served as the basis for definite integrals. (Most of the other methods for solving integrals were also gone over before the Fundamental Theorem was introduced). So, yeah. Thanks Dr. Bossaller

Thank you so much!

i am learning calc 1 right now in university and this made me feel so understood, thank you.

If you actually want to learn more about it, just take an analysis class

Well done.

the 3blue1brown course is so good it gives a vague idea of the connection between slopes and areas in literally the first video, before using the limit definition of a derivative and still make complete intuitive sense better than any math class i ever had

Nice baby calculus here 🙃

Currently on my 2nd year of a Psychology undergrad and youre spitting facts... im going to do computational neuroscience as my masters as a final ditch effort to save myself from being a ""''''''brokie'''''"""" ~ andy tate. I wanna fuck with infinity not the intricacies of your moms 2nd divorce

happy i got it over with in 6th grade

okay but why is learning discrete calculus for the first time an absolute shitfest

bro this is funny asf

based and mathpilled

Yo bro thanks my Indian teachers can't explain shit you helped me guide my self study appreciate it

The mic quality the production I fucking loved this bro thank you for making my day (currently in differential equations and linear algebra)

I believe calculus is actually well-taught in my country. You only learn it after 4-5 years, and you can choose which kind of math you want to do (the "easy" and the "hard"). Integrals and basically anything that have to do with trigonometry is only taught in the "hard" one.

I was so shocked when i answered all the questions in 1:00 but then realised that I should know this shit as im doing Calc 1 & 2 lol

or you go to uchicago where every fall math course does delta epsilon

i really like your ideas, but i absolutely hated your language man...also one can read stewart calculus book as well.

Yeah, I"m going back to school for my Bachelor's in Computer Science and I have to take a PreCalculus with limits course and I might throw up. I'm getting this degree because I will get more compensation in my job for having it but I've been working in my field for early 16 years. Not even close to happy about having to take that course. It's like Python scripting to me. Face/head palming the keyboard and hitting run. 😕

Omg.....Getting ready to go back to school as an adult learner and while I can do Alegebra, Trig, and Geometry all day long, THIS is HORRIFYING! It looks like physics stuff to me which I did miserably with!. So scared.....

3brown 1blue

Professor Leonard is the Goat. He helped me pass precalc and trig, and will help me get through calc I,II, and III

Im taking real anaysis now as a senior in university. Love the epsilon delta proof of a limit. Makes a lot of sense. But, I'm not sure if its necessary to learn as an average student that will not study some sort of stem major. Sometimes getting familiar with the process using real numbers (instead of variables like in rigorous proofs) is easier. However, understanding that the derivative is the slope of tangent like helped me tremendously when I learned Calculus. I had a great professor that explained the "why it works" aspect and it would help when I was able to follow it along.

im watching this while working on calc homework due tomorrow

Man the limit definition of a derivative formula is the biggest abomination I have ever seen. I took AP Calc in high school and my teacher skipped over that mess and went straight to the power rule because "it's a waste of time." I never knew what he was talking about until two years later taking intro calc in college. Using this formula takes me 10 minutes to do what power rule can do in 10 seconds. And of course I had to "Show my work" so I couldn't sneakily use power rule instead of this shitty thing.

thank you, it boost my confidence of learning mechanical quantim thing, dirac function thing and electrodynamics thing

Meanwhile we start with real analysis at my uni....

"No bullshit guide to math and physics" book handles this subject pretty well I think.

The fact i understand every single thing that you say is unbelievable

What I think is funny as someone doing their undergrad in math, when I first look at a page of work it still just looks like a mess of symbols until I go through each question one at a time

The ED proof was the first thing covered in my high school calculus class. The teacher was nice and simplified it down into normal graph talk, explaining in terms of functions.

Im self studying this shit for AP

Trying to link the area and the rate of chage was the mission that no student has succeed at

Bro spoke straight facts... 6 weeks in Applied Physics and no shit makes sense

I’m in uni and the first intro to calc midterm is in two days. 😭😭😭 God help me

I self studying calculus (still am) and thought I can solve the problems but don’t understand anything, I though it was a me problem before seeing this

“Omg opinion on the internet” got my sub. Great video bro 🤙🏽

Is academia really worth it

i'm ifraid for my calculus 2 course