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I have ever seen this . thank you

Earned a sub, your Calc II content is the best I've seen on this platform.

These letters look like Hebrew letters and Arabic letters.

Who the fuck come up with this stuff.

I am bad at math, i can calculate stuff but i am bad at alphabet math, i always found it to be extremely boring and i hated every minute of it

Nah, I am 100 % sure I am bad at maths. Neither online courses, extra classes and tutor helped me. Maybe it's my school experience that made my hate maths. My math teacher either didn't cared or shouted on my becouse I struggled in they classes, so does my mom during math homework, I was bullied for struggling in this field and overtime developed hate and anxiety towards mathematics. Now I can say only one thing: I am fucking done with it. I give up. If math is so important in everyday life or career, I might aswell kill myself.

Sir at 5:52 you say for x=1 it coverge by A.S.T But A.S.T is summation [ (-1)^n-1*bn ] so we check bn value for convergence But in the example summation [(-1)^n /n] not (-1)^n-1 then how are we using it sir

uyayichaza kodwa inyongo

Sir at 3:50 The series in the form summation [(-1)^n / sqrt(n)] but not in form of [ (-1)^n-1/sqrt(n)] To apply alternative series test. So you can also say by alternative test summation[ -1^n/sqrt(n)] = summation[(-1^n-1 )* -1 / sqrt(n)] Here bn= -1/sqrt ( n) so bn is negative and by alternative test it divergence Sir got confused there. But overall great explanation

you made a mistake in the first circulation example in integrating del / dy (2nd component), instead you did it with first component

Ans is 9

Insane to me that I pay my university $1,400 / class, yet I have to go on RUclips to search for lectures because my professor can barely speak English...

Sometimes we get same eigenvalues corresponding to a matrix What does that physically mean then?

This is a good explanation, but this is still hard to get, but kind of get it. But must be a little critical about hand writing, the minus sing.. its too small look like the times sing. Its always bad handwriting with teachers, think chatgpt can explain it also really good. Im still a bit confused about all of this...

Thank you! Seeing where the conversion from cartesian to spherical coordinates comes from was extremely helpful!!

The curl equations for a vector are definitely harder to remember than divergence, laplacian and gradient ones. Thanks for explaining the Curl of a vector.

I just wated to express my gratitude. Your videos on Calculus and Discrete Math series from years ago might have been the reason I survived college. Thank you from the bottom of my heart. ❤❤

Don't leave your faculty position especially if you have tenure. RUclips videos are not easy to make.

Feynman integral !?

Excellent

damn, if only you were my math teacher...

Need to fix the sound on this reel😅

need that tshirt

Within the first 3 seconds I realized how it worked 😂 Btw, you can put the 2 gradients in a determinant and make it equal to zero. Therefore making the condition that they must be parallel

how to download the presentation ,created in overleaf in pptx format. Every time I am trying to download it is coming in pdf format. Please help.

When taking eˆxln(x). Since we are working on an integral from 0 to 1, x can be egal to 0 and so ln(0) isn't define. Have we still the right to use ln in this case? Like isn't replacing xˆx by eˆxln(x) impossible since the 2nd expression isn't defined in 0?

Theses videos are super helpful for visualizing what we are actually doing but I don't get how we can just add in a z component. Wouldn't that imply that we are slowly spiraling into the sky?

What did you say when you said “this number is actually…….?”

how do you type math in power point? I've been stuck...

How to convert integral to differential by Laplace

why can't you just use this same diagonalization technique on the Integers? Instead of mapping natural numbers onto Real numbers like cantour did, let's map the real numbers onto the integers. No matter how many real numbers you map onto the integers I can just construct a new integer that is not on the list by adding 1 to every digit on the diagonal. This new integer will be nowhere on the mapping of real numbers onto integers and I can continue creating new integers that are not on the list using the same diagonalization technique.

Im quite grateful for this. I can't believe I am looking at Calculus and stating to myself it is somewhat simple. Thank you, thank you!

Good explanation/ video - I am a teacher and this exposition is 🙂👍

''Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.'' Bertrand Russell

can you make please a playlist for the foundation of mathematics so that we can understand this key part of the whole Mathematics .

On one hand, computers have ensured that a feat of prime number factorization like this won't take 3 years of sundays, meaning this kind of thing wouldn't give a standing ovation. On the other hand, computers can search through for meta-pi (pi within pi) which is still really cool.

Cool Fact 😎

i am safwan, good video👍🏻🙏🏻

just wamt to update it its mot the fastest amymore

Special Sunday facts.

3 years of Sundays class is how many Sundays? 3 times 52 weeks = 156

A serious, mic drop moment for sure :)

I feel he also did this partially due to the fact that the mathmetician Luca first proved that 2^67-1 was not prime, but never managed to find any of its factors.

Gradient vector is such an awesome property when dotted with u unit vector evaluated at a point on a x-y plane in 3D space! Thanks a lot and much appreciated!

3:20 Those of you confused about the free variables: The first column has a leading 1 that corresponds to x1, so it's not a free variable. Neither of second or the third column have a leading 1 "at the last row", that correspond to x2 and x3 respectively, so they are both free variables. So, x2 = s, x3 = t Now, first row: x1 + x2 + x3 = 0 + 0 + 0; Second row: x1 + x3 = x1 + t = 0, we get x1 = -t; Yeet the third row straight away. x1 = -t, x2 = s, x3 = t This general solution can be expressed in a vector form: ( x1 ) ( -t ) ( x2 ) = ( s ) ( x3 ) ( t ) You can decompose this as a linear combination like this (as shown in the video): ( x1 ) ( 0 ) ( -1 ) ( x2 ) = ( s ) ( 1 ) + t ( 0 ) ( x3 ) ( 0 ) ( 1 ) If you sum it up, you get the one I showed above.

You skip too many steps sometimes

What's wrong with the subtitles?

If you could be more explicit towards the end of the proof. I.e. subtracting the area of hyperbola from the triangle...

A good explanation. From where you have studied these things because many of the research articles don't contain things in detail. I want to study this from scratch, can you suggest some references to study?

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