15: Lagrange Multipliers - Valuable Vector Calculus

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15: Lagrange Multipliers - Valuable Vector Calculus

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Күн бұрын

Lagrange multipliers example problem: • 15.5: Lagrange Multipl...
Explanation of directional derivatives and gradient being perpendicular to contour lines: • 14: Directional Deriva...
Explanation of the dot product: • 2: Dot Product - Valua...
Lagrange multipliers are extremely useful for constrained optimization problems. Here we go over the basics of a proof of the method!
Full Valuable Vector Calculus playlist: • Valuable Vector Calculus
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Пікірлер: 32

@MuPrimeMath 4 жыл бұрын

For an example of using Lagrange multipliers to solve optimization, check out this video: kzfaq.info/get/bejne/qbmnfq53tLi0doE.html

@lbyron1981 4 жыл бұрын

This is an excellent description for developing the Lagrangian equation. As a suggestion, the board work is good but it could be organized better by slightly shifting what you have already written to give more space between lines. Great job!

@PetStuBa 3 жыл бұрын

wooooow that's actually the very first time I understand where LAMBDA comes from and what it means ... you're a very good teacher !!!! well done

@punikachi 3 ай бұрын

Fantastic explanation thank you so much

@TanNguyen-ur2hf 4 жыл бұрын

Excellent explain. P/S : Just know that you're currently senior that makes me feel motivated to keep studying (I'm freshman).

@venomousmath7661 2 жыл бұрын

Heyyy your explanation is awesome!!!! You just ans my que that I had confuse for a long time

@nickknight5373 3 жыл бұрын

Very good explanation - many thanks.

@111abdurrahman 4 жыл бұрын

Waiting for your video on proof of green's and stokes theorem.

@MuPrimeMath 4 жыл бұрын

Those videos are coming in the future!

@algoexpert 3 жыл бұрын

Please, this is impressive

@semigene Жыл бұрын

Thanks!

@tb2748 3 жыл бұрын

how would you parameterize f(x, y) as f(t), so that I could look at what f(t) actually is in this case? is there a specific parameterization you used? also i am confused why you used t/5 for the angle instead of just t

@MuPrimeMath 3 жыл бұрын

Once we have a parametrization r(t) = like I showed in the video, we can immediately plug in f(x, y) = f(x(t), y(t)) using x(t), y(t) from the parametrization. The visual that I used at 3:08 is not actually 6x+8y because I set it up to match the graph that I drew on the board. For the second question, see 7:04 to 7:37

@tb2748 3 жыл бұрын

@@MuPrimeMath very helpful, thank you! i am enjoying your content thoroughly

@gregoriousmaths266 4 жыл бұрын

Have u ever studied convex optimisation

@MuPrimeMath 4 жыл бұрын

Not yet!

@lbyron1981 4 жыл бұрын

I worked with the generalized version of the Lagrangian for convex optimization in my thesis. The texts “Convex Functions” by Roberts and Varberg and “Primal-Dual Interior Point Methods” by Stephen Wright are excellent reading for seeing the theory and an application of that theory.

@TheNachoesuncapo 4 жыл бұрын

@@lbyron1981 i don't get.what are u doing here?this must be boring for you

@lbyron1981 4 жыл бұрын

Nacho hello I’ve been a math educator for several years and it’s very useful to see explanations from new perspectives. Additionally, I simply love math and enjoy discussing it with people of all levels. 😀

@TheNachoesuncapo 4 жыл бұрын

@@lbyron1981 your students are very lucky then

@mohannadislaieh3009 4 жыл бұрын

May I ask please in what university u are and what is your degree?!

@MuPrimeMath 4 жыл бұрын

I'm currently a senior in high school!

@mohannadislaieh3009 4 жыл бұрын

@@MuPrimeMath So u are self-taught? I don't think that high school students take Lagrange multipliers and the stuff. In what school are u currently studying ?

@MuPrimeMath 4 жыл бұрын

My high school had a calculus class that went up through some multivariable stuff up to double integrals, so that's the first time that I learned about them

@mohannadislaieh3009 4 жыл бұрын

@@MuPrimeMath In fact, I am travelling to the US to continue my senior class. It is impressive to study this kind of math at school, knowing that I am studying differential geometry and some complex physics (self).

@Tomaplen 3 жыл бұрын

+- 5/sqrt(2) ?

@TheNachoesuncapo 4 жыл бұрын

Hi!!!where can i find challenging problems in vector calculus?

@MuPrimeMath 4 жыл бұрын

1: www.stewartcalculus.com/data/ESSENTIAL%20CALCULUS%20Early%20Transcendentals/upfiles/challenge/ess_cp_13_stu.pdf And 2: www.google.com/url?sa=t&source=web&rct=j&url=web.math.ucsb.edu/~cmart07/vector%2520calc%2520review.pdf&ved=2ahUKEwirkvyW5tboAhUbCjQIHQ7oBnMQFjAAegQIARAB&usg=AOvVaw1sg0OvL-LOFluX6EFL7WEC

@TheNachoesuncapo 4 жыл бұрын

Thank you!I appreciate it a lot!!!

@michalbotor 3 жыл бұрын

classical electrodynamics by john david jackson. rest in peace my friend.