Introduction to the Lagrange Multiplier

[@curtmcd]

Best explanation I've seen yet. The geometric interpretation is essential. Few ever mention that the original constraint is partial lambda, so that all of the partials of L correspond to all of the equations to be solved. That's a beautiful thing. But also multiple constraints and shadow price, all in one video.

[@BraveNewWorldSH]

@jodiecongirl It's an honors class. I am using the Acemoglu text and I can hardly get anything out of it. Thanks Jodi. Big fan!

[@JonAddison]

I was doing something completely different in mathematics, however this helped merely because your voice is so soothing, ha.

[@billhopkins8330]

I think that this is still one of the best explanations of the LM.

[@그림일기-k2s]

The best video explaining Lagrangian among those I've seen!

[@benwoodruff1321]

Jodi, that was a clear description. Keep up the good work!

[@ivanaskitchie]

Thank goodness for you and your wonderful vídeos 💝💝💝💝💝💝 some of us need this kind of tutoring, which helps us remember many previous mathematical concepts.

[@Grater4576]

excellent work Jodi!!

[@doaaserageldin4500]

u nailed it !! even better than my professors all together !

[@aristoi]

Nice video Jodie.Who knew economists make good math teachers.

[@林某-p3x]

It is easier to convert practical problems into optimization problems than to convert them into PDE. Optimization is way more flexible. I gotta learn some optimization technique now, it is really powerful

[@BraveNewWorldSH]

Hi Jodi, your videos are very helpful and useful. Thanks for the great work. Any chance you would do a video on Hamiltonian?

[@jodiecongirl]

@nahaymath Either LaTex or the "Insert Equation" feature in newer versions of Word. I find the latter to be sufficient for the vast majority of purposes, and it's easy to either copy and paste into PowerPoint or take a screen shot of and turn into an image.

[@Sanyat100]

awesome explanation and graphical intuition!!

[@salrite]

Couldn't understand one vector is a multiple of other at 7:50 (same multiple, what does that mean)...

[@DaylightDigital]

8:57 You are correct, the Langrangian is not the same as a Lagrange Multiplier, which is also not the same as a Lagrange Point. J.L.L. was a prolific mathematician!!!

[@gabrielkwenda2979]

Simply enlightening 🙏

[@TheArfdog]

You are some kind of math genius.

[@bennpackham]

Great video, but why are the gradient functions perpendicular to the utility curves and budget constraint at the optimal point? Cheers

[@camlpg]

At about 9:30 you insert a statement that the LaGrangian is a physics thing. Could you use some physics analogy to prove this statement? I think it would be very helpful to use some physics analogies in economics teaching.

[@Peter_1986]

@Eddie Olayo There is no strong reason to do three-variable examples, because they work exactly like two-variable problems - the only difference is that three-variable problems are more tedious and practically impossible to sketch as graphs. My math book even explicitly points out that all multivariable definitions are made in ℝ³, and that this can be extended to higher dimensions when necessary.

[@carlosloures2436]

Very good explanation.

[@alahemy]

I am interested in the Hamiltonian too. Thanks

[@1xXitachiXx1]

i'm in an intermediate micro class and lagrange is often mentioned with First order conditions (FOC) and Second order conditions. do you know what these are? thanks

[@jodiecongirl]

@BraveNewWorldSH Wow- I had no idea that there would be such demand for the more advanced concepts. Yeah, I can do that, so stay tuned. :)

[@sahb8091]

I love your videos, do you do shirts like yours? I'd love to get one.

[@jodiecongirl]

I got a new mic! The sound is better in the more recent videos.

[@timep1989]

how do you prove that at optimal point ( whr f takes extreme value) the two curves g and f are tangential??

[@zazaaa090]

How do you come fron the LAGRANGE fonction to the fact that de multiplier of LAGRANGE is the shadow price?

[@RaiyanKamal]

Found this helpful, thanks a lot.

[@vangelismoulas6281]

minimizing free energies, or maximizing work in thermodynamics. subject to constraints like conservation of mass or total energy. cheers

[@gonmai9498]

what if we set c-g(x,y)=0 instead of g(x,y)-c=0? Thanks teacher.

[@eolayo]

Do you have three variable examples?

[@VideoOfMike]

I just wanna learn calculus from you all day....

[@christophertamina8569]

I would like to order the T Shirt please tell me how to do it

[@MrAlbashiri]

YOU ARE THE BEST EVER!!!!

[@abcdef2069]

lagrange multiplier is the optimization something. mathematically optimization is vague, it must be either maximum or minimum findings. so how do you know which way lagrange multiplier gives you, max or min?

[@axe863]

Truly, first order conditions are a neccessary but not sufficient condition for optimality. Deriving SOC is redundant iff the underlying indifference curves exhibit a diminshing marginal rate of substitution (preference for a portfolio of goods) ==> aka exhibit strict quasi-concavity. If one doesnt want to make said assumption, SOC can be derived using matrix algebra==> augmented Hessian matrix.

[@Aquelanter]

Great stuff! Keep it up.

[@catisvillain]

정말 좋은 강의 입니다 ^^

[@amancalledfroggy]

heyy do a series on econometrics. arch garch cointegration ....

[@nodirbek3272]

I like graphical picture in the start of the video. I want to find its extremas.

[@nunvikingsofthesea]

I thought f(x,y) is a vector, so how can we represent it on a scalar graph?

[@Astro-X]

f(x,y) is a function with 2 variables and she was just using the contour lines as an example to graph it on a scalar field. But yes if she had the tools she could do it in a 3D space plot.

[@kevinliu471]

very good explanation good girl!

[@TheArfdog]

@jodiecongirl I'm not gonna even entertain that thought. Anyways. Please do a video on what you think of current economic events! Sprawl on that.

[@brunomadureira9502]

How do I change from maximization to a minimization?

[@gabrielwong1991]

i am still looking for an answer too! But what i think is if it is a + after the objective function. I.e. Objective function + lambda (constraint equation) that is maximizing.. If it has a -ve sign i.e. I.e. Objective function - lambda (constraint equation) then it is minimizing

[@jcgastelum1991]

Smart and Beautiful. Cheers.

[@mikhailbabushkinum]

I love you Jodi

[@asullam_m]

thank you clear explalanition

[@jodiecongirl]

@TheArfdog Haha, nah, I just think about this stuff a lot. You should have seen me sprawled on the floor of my office with my iPad trying to come up with the best way to explain this.

[@danielokungbowa6474]

Hi Jodiecongirl, how can one solve this question: Given U=X1/3, X2/3 s.t P1X1+P2X2, Set up the lagragian function and find the optimal commodity bundle

[@ashishchauhan7343]

i want matices with border hessian derivatives

[@SaadElf]

all what i want to say is thank you :D

[@MaxTTaji]

OMG ! I love you ! Thank u v.much !

[@林某-p3x]

0:01, censored

[@miloinindo]

Succinctly explains 3 hours of lecture in uni in 20 minutes.

[@dedefoabu1821]

you are nice continoue like this good

[@karimkhan1312]

excellent-- out standing -- very good

[@Rayquesto]

If only you belonged to La Grange.... LOL

[@ilyesadam9441]

ترجمة بالعربية

[@joaquinmacia762]

CRANEO

[@Bandoolero]

she never smiles :(

[@ManishPatel-wo1xf]

😂😂

[@JamalGurhanPurahu]

B

[@math1932]

jamal ismail DD

[@DaveBandfanMatthews]

I think I'm in love :) Why can't there be more girls like you?