The only guy on KZfaq who gives an explanation for the expanded Lagrange Multiplier, even my professor just threw the formula out and told us to use it

Wikipedia is great for 1 constraint, but I absolutely needed Dr. Bazett for 2 constraints. Thanks so much.

I love Trefor for Math and his personality.

I've watched many classes on youtube and I can say that Professor Trefor's classes stand out. Simply awesome!

i wish all classes were like this, all we need is just a touch of intuition and visualization to set the concepts clear in our mind!

Your explanation, math, handwriting, 3d graphs.... all are super good

This course/playlist is extremely great , wish I found it earlier , now my exam is tomorrow itself 😕

exactly what I was looking for

11:50 How satisfying when you catch the Professor making a clerical sign mistake. 11:58 How disappointing when such clerical sign mistake gets squared off leaving the correct result 😁 Great video as usual!

What an awesome explainations and cool visualization. Thanks you Prof, keep doing.

That was beautiful. I suddenly noticed while watching the video that I too was wearing a checked shirt! Morphing into Dr Trefor!

Nice energy and even better teaching! I also found that website and seeing it here makes me happy :D

Dr. you are amazing! You just earned a new follower. This video really helped me

Thanks man ...you just made my life easier...gr8 work..

Your channel is so underrated.

Zed's dead, baby, Zed's dead. ;) Nicely done. I really like the visualizations, too. I'll have to check out the software you mentioned in one of these vids.

Excelent, as usual. Why not just find the intersection of the two constraints and use the standard method on that intersection?

Thank you man! You are very helpful =D

Outstanding tutorial. Thanks a lot!

Thanks from Korea

Just amazing ❤️

Thank you sir you saved me.

Really really helpful for me

Thanks a lot sir 🔥🔥🔥

Thanks for the excelent content! Found a small typo: at 11:50, it should be f(-3,0,-3), not f(-3,0,3), as z was squared the typo went unnoticed.. :)

i became a big fan to ur intention.

thanks professor, it is really great explanation !

This is very cool

Hi Trefor, you made it look easy. Thank you👍 I didn't understand why grad f is a linear combination of gradients of the two constraints. Shouldn't grad f be perpendicular to the line of intersection of constraints? Can't one find the gradient of the intersection line and then proceed the same way as Lagrange multiplier case for a single constraint?

thank you so much

great video

Genius

Thanks

Wow, this kinda interpretation is pretty handsome. Dear sir I had a question, i have seen in some places circle is indicated as S1 and sphere in 3d as S2. What do they mean anyway? TIA

Great video. But I'm wondering if there is a better explanation than just by extension of the 1 constraint case? If del f is orthogonal to both del g1 and del g2, then should del f be the cross product of the two?

your videos are amazing but maybe you could get a better mic....and your channel would be perfect in all points!!

really appreciate your lesson. i just finished the high school math lessons and didnt major in math when in college. i tried lagrange multipliers on the following question, but was still stocked. too hard to solve the equation. abc=23, ab+bc+ca=27, what is the max and min of a^2+b^2+c^2 really appreciate if you can help......thank you.

The Graphical Approach in 3-D. You could possibly draw the surfaces by hand and compare the drawing to Geogebra. I tried this course with my 2-D calculator, and of course I could not visualize 3-D well.

Nice video, but I didn't get how do you get to the linear combination of the gradients of the constraints? I get the 1 constraint case, but cannot understand the extension to this case

Which software you used to generate all the animations? Is it Geogebra?

Im completely lost from the statement "the normal to g2 surface is gradient of g1". At 2:35 that vector really looks normal to g1 surface rather than g2, which is inconsistent with the audio saying that's the normal to g2? Is there a video in the playlist explaining this? My understanding of gradient vectors stopped at the "Geometric Meaning of the Gradient Vector", where it lives in the x-y plane and points to direction of steepest ascent on the surface. It seems that the gradients in this video do not stay flat on x-y plane. How can they be visualized and is there a video in playlist on gradients that don't live in just x-y plane and their geometric meaning? How would these g1 g2 and f gradients look on the geogebra example in last part of video? I wish the later example referred back to the theory in the first part of video.

tnx aLot prof.

Thank you sir

hi, thank you for this video. I want to know if distance optimization is basically distance minimisation?

@3:03 "single variable function" -> single constraint case

i wish you were my teacher

Hi sir could u make videos on statistics? Like t tests, nullhypotheses

Nice.

what about 3 constraints and 4 variables? are the equations gonna be same with one more constraint and one more variable like delta? and at 9:51 why is the case not possible?

Great video sir, question. At 11:10 why is it 1,0,-1 but for the second point it’s -3,0,-3 why is that?

why can't we take sqrt(x^2+y^2+z^2) it minimum distance rite

I have that shirt! Nice!

Is it possible to avoid the Lagrange multipliers altogether by saying that the determinant of all the gradients is zero? This plus however many constraints you have should be enough to make it work as long as you have exactly one less constraint than the number of variables.

but how to solve it if all the x, y,z equation has 2 variable constraints and some of em even has the xyz variable on it, hence i cant make the same solution like yours sir, since i cant assume anything T.T

11:13 is it necessary that points we get with the help of Lagrange Multipliers , are either max or min . Why don't we consider the possibility of saddle point ?

why do so many video's have a poor sound quality

why are you taking such an easy function during tutorial? Can you just take f(x)= x^2y^4z^6 or like so?

I prefer the previous animations as opposed to the handwriting.