Just writing a few lines to thank you for your inspiring TH-cam channel. I had forgotten how much I loved math. I'm a PhD in a scientific discipline that doesn't require too much mathematical skills - apart from the realization of how important it is to leave all statistical considerations to the statisticians. But thanks to your TH-cam channel, the math cells in my poor tired brain have been given new life. My wife, who is a theoretical physicist, says it's about time. This was really fun. Many thanks!
Not really sure if you go through more advanced stuff because I'm currently studying in university as a math major. Perhaps you could cover stuff in linear algebra like finding an orthonormal basis or simple things about basic optimisation from applied mathematics
Hello sir So well I am from India and I am in 12th grade well there is a chapter name as (Vector & 3D geometry) in which we also study this and this is so Amazing as it is my like revision really like your videos.
Hello sir... I have a questions Sir I read real analysis,linear algebra, group theory, differential calculus etc but those topic in real life how I apply...
I can answer for all but real analysis and group theory, since I'm not familiar with applications of those subjects. An application of linear algebra, is finite element analysis. Given the shape of an engineered system that realistically will be used in the real world, instead of a nice simple shape used in a textbook example, there likely will not be a closed-form solution like we prefer. It is a similar concept to Riemann sums, like we use for introducing integration in the prologue to calculus. Instead of a closed-form solution, the shape is broken down into thousands of sub-problems at the level of individual elementary shapes, and the solution to all of those subproblems will combine to solve the original problem for the shape in question. The software sets up a system of thousands of equations that it solves together, like you do in linear algebra. It then presents a "heat map" of your results, to either validate or guide you to improve your design. The people who write this software, use the theory behind linear algebra to make it as computationally efficient as possible, in order to solve the problems accurately and time-efficiently. There are numerous applications of differential calculus. The most common that I've used in the real world, is design optimization. Knowing how to set up a model that "weighs" your design options, you can use differential calculus find the sweetspot specifications to give to your design.
Just writing a few lines to thank you for your inspiring TH-cam channel. I had forgotten how much I loved math. I'm a PhD in a scientific discipline that doesn't require too much mathematical skills - apart from the realization of how important it is to leave all statistical considerations to the statisticians. But thanks to your TH-cam channel, the math cells in my poor tired brain have been given new life. My wife, who is a theoretical physicist, says it's about time. This was really fun. Many thanks!
Not really sure if you go through more advanced stuff because I'm currently studying in university as a math major. Perhaps you could cover stuff in linear algebra like finding an orthonormal basis or simple things about basic optimisation from applied mathematics
Hello sir So well I am from India and I am in 12th grade well there is a chapter name as (Vector & 3D geometry) in which we also study this and this is so Amazing as it is my like revision really like your videos.
sir in which school u teach?
the kids would be very lucky
Come live someday.
May I ask what is the software you use in the video?
Hello sir... I have a questions
Sir I read real analysis,linear algebra, group theory, differential calculus etc but those topic in real life how I apply...
I can answer for all but real analysis and group theory, since I'm not familiar with applications of those subjects.
An application of linear algebra, is finite element analysis. Given the shape of an engineered system that realistically will be used in the real world, instead of a nice simple shape used in a textbook example, there likely will not be a closed-form solution like we prefer. It is a similar concept to Riemann sums, like we use for introducing integration in the prologue to calculus. Instead of a closed-form solution, the shape is broken down into thousands of sub-problems at the level of individual elementary shapes, and the solution to all of those subproblems will combine to solve the original problem for the shape in question. The software sets up a system of thousands of equations that it solves together, like you do in linear algebra. It then presents a "heat map" of your results, to either validate or guide you to improve your design. The people who write this software, use the theory behind linear algebra to make it as computationally efficient as possible, in order to solve the problems accurately and time-efficiently.
There are numerous applications of differential calculus. The most common that I've used in the real world, is design optimization. Knowing how to set up a model that "weighs" your design options, you can use differential calculus find the sweetspot specifications to give to your design.
Argh ended too soon 😅 lambda= - mu, then mu=1 and thus lambda=-1.
Yes, but only because the mistake in eqn 1 (lambda on rhs rather than mu) has been left as a cliff hanger until the next episode😅
@@trigandenI didn't spot that mistake. Good catch! I solved using equations 2 and 3 fortunately.
@@triganden2 and 3 as in y and z
@@trigandenthe Z equation gives you lambda = -mu. Sub that into the Y line gets you Mu=1.