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Mathematical methods and its applications
เข้าร่วมเมื่อ 19 ธ.ค. 2016
Lecture 60-Applications of Fourier transforms to BVP–III
This is the last lecture on applications of Fourier transforms to BVP and also the last one of this course. In this lecture, cosine and sine transform of derivatives are discussed and some problems on partial differential equations are solved using Fourier sine and cosine transforms.
มุมมอง: 8 499
วีดีโอ
Lecture 59-Applications of Fourier transforms to BVP-II
มุมมอง 10K7 ปีที่แล้ว
This is the second lecture on applications of Fourier transforms. In this lecture, how to solve partial differential equations using Fourier integrals and Fourier transforms have been discussed.
Lecture 58-Applications of Fourier transforms to BVP-I
มุมมอง 28K7 ปีที่แล้ว
This is the first lecture on applications of Fourier transforms to BVP. In this lecture, how to solve partial differential equations using Fourier series have been discussed.
Lecture 57-Convolution theorem for Fourier transforms
มุมมอง 26K7 ปีที่แล้ว
In this lecture, the convolution theorem for Fourier transforms have been discussed with examples.
Lecture 56-Fourier sine and cosine transforms
มุมมอง 46K7 ปีที่แล้ว
This lecture deals with the Fourier sine and cosine transforms with examples. Further, some properties of Fourier sine and cosine transforms are also given.
Lecture 55-Fourier transforms
มุมมอง 23K7 ปีที่แล้ว
In this lecture, Fourier transform has been introduced and what are the conditions for existence of Fourier transforms. Also the properties of Fourier transform have been discussed with examples.
Lecture 54-Fourier sine and cosine integrals
มุมมอง 42K7 ปีที่แล้ว
In this lecture, Fourier sine and cosine integral of a function are defined and examples have been discussed.
Lecture 53-Fourier integrals
มุมมอง 63K7 ปีที่แล้ว
In this lecture, Fourier integrals have been introduced and how one can express a function in terms of Fourier integral, that also has been discussed.
Lecture 52-Complex form of Fourier series
มุมมอง 33K7 ปีที่แล้ว
This lecture deals with the complex form of Fourier series. Examples expressing function in complex form of Fourier series are also shown.
Lecture 51-Parseval’s Identity
มุมมอง 32K7 ปีที่แล้ว
In this lecture, Parseval's identity and root mean square value have been discussed. Further, Parseval's formula for half-range sine and cosine series have also been given.
Lecture 50-Fourier half-range series
มุมมอง 25K7 ปีที่แล้ว
In this lecture, Fourier half-range series has been introduced. Also Fourier cosine and sine series have been discussed.
Lecture 49-Fourier Series of Even and Odd functions
มุมมอง 50K7 ปีที่แล้ว
In this lecture, the Fourier series of even and odd functions have been discussed with adequate examples.
Lecture 48-Fourier Series and its Convergence-II
มุมมอง 30K7 ปีที่แล้ว
In this lecture, the convergence of Fourier series for continuous function and for piecewise continuous function have been discussed and examples have also been illustrated.
Lecture 47-Fourier Series and its Convergence-I
มุมมอง 73K7 ปีที่แล้ว
In this lecture, Fourier series has been introduced. Also how one can express a function in terms of Fourier series, that has been discussed.
Lecture 46- Applications of Z- transform- II
มุมมอง 3.3K7 ปีที่แล้ว
Lecture 46- Applications of Z- transform- II
Lecture 45- Applications of Z- transforms - I
มุมมอง 6K7 ปีที่แล้ว
Lecture 45- Applications of Z- transforms - I
Lecture 43- Convolution theorem for Z- transforms
มุมมอง 12K7 ปีที่แล้ว
Lecture 43- Convolution theorem for Z- transforms
Lecture 42- Initial and final theorems for Z- transforms
มุมมอง 10K7 ปีที่แล้ว
Lecture 42- Initial and final theorems for Z- transforms
Lecture 41- Properties of Z- transform- II
มุมมอง 5K7 ปีที่แล้ว
Lecture 41- Properties of Z- transform- II
Lecture 40- Properties of Z- transforms- I
มุมมอง 6K7 ปีที่แล้ว
Lecture 40- Properties of Z- transforms- I
Lecture 39- Z- transform and inverse Z- transform of elementary functions
มุมมอง 17K7 ปีที่แล้ว
Lecture 39- Z- transform and inverse Z- transform of elementary functions
Lecture 38-Applications of Laplace Transforms-III
มุมมอง 4.4K7 ปีที่แล้ว
Lecture 38-Applications of Laplace Transforms-III
Lecture 37-Applications of Laplace Transforms-II
มุมมอง 4.4K7 ปีที่แล้ว
Lecture 37-Applications of Laplace Transforms-II
Lecture 36-Applications of Laplace Transforms-I
มุมมอง 6K7 ปีที่แล้ว
Lecture 36-Applications of Laplace Transforms-I
Lecture 35-Laplace Transforms of Dirac delta Functions
มุมมอง 11K7 ปีที่แล้ว
Lecture 35-Laplace Transforms of Dirac delta Functions
Lecture 34-Laplace Transforms of Unit Step Function
มุมมอง 25K7 ปีที่แล้ว
Lecture 34-Laplace Transforms of Unit Step Function
Lecture 33-Laplace Transforms of Periodic Functions
มุมมอง 9K7 ปีที่แล้ว
Lecture 33-Laplace Transforms of Periodic Functions
Lecture 31-Convolution Theorem for Laplace Transforms-II
มุมมอง 28K7 ปีที่แล้ว
Lecture 31-Convolution Theorem for Laplace Transforms-II
Lecture 32-Initial and Final Value Theorems for Laplace Transforms
มุมมอง 8K7 ปีที่แล้ว
Lecture 32-Initial and Final Value Theorems for Laplace Transforms
god bless you
thanks sir
You speaks quickly, can you be a little slower.
Bad explanation steps not understandable👎
can someone explain, why Fourier series was taken in variable x but the coefficients were taken in variable t. Regards
Same question ❓
Thanks a lot sir... Please sir aur bhi video upload kijiye 😊
Par excellence Dr. P. N. Agarwal! Thank you so very much...and this is just the beginning! Nandree Vanerkkerm Dr. and T.E.A.M. (Together Everyone Achieves More)! WOW!
Please can you drop the PDF of the slide you're using?
wow
love you sir ❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣🙉🙉🙉🙉🙉🙉🙉🙉🙉🙉🙉🙉
thanku sir
Amazing lecture.
sir how did you took l = 1 as we take l=Pi when its extension from 0 to 2*Pi
I don't understand shit Sir I don't understand
If I may, you need an intensive basic review of Calculus first and foremost -- Differentiation and Integration, as what is covered herein are super hi-leve andl complex mathematical concepts made easy by this highly-talented rare Maths expert. I hope that this helps you. Keep at it please, and you will truly enjoy it, as is the case with yours truly! God bless you and all others!
*Typo...hi-level and complex... pardonay mua!
Nice
thank god this is in english. Your accent actually makes me pay attention more. Theres not a lot of material on this subject i can find, so thank you so much for this since I cant understand what im reading honestly.
Hell with this cameraman, why is he focusing on sir whole structure instead of focusing on whiteboard. Cameraman is inexperienced.
Thank you so much, sir .. for these excellent lectures and for being a Messiah for us.
its all thanks to you that i passed my maths course
thank you sir...lot:)
please kindly improve on your camera postioning, I am having a hard time following up
is not the numerator of absolute value of an and bn be 2*l**2*m sir?
a not value is 2 pi sir
thank you ser
I like it professor
Nicely done! I like your proof because it uses the basic idea of change order of integration. Easy to understand!
Hamko dekhne de to samjh me aaye likh re vo to dikhta ni khud hi
Khud hi pad le
The VDO zooming in and out timing is NOTHIG BUT annoying the focus and the vdo is also NOTHING BUT a helpfl vdon.THNAKS FOR ALL OF THIS 😃🙏
One of the best profesor in NPTEL
Good lecture but very bad Camera man work
Well explained but very very poor camera man work I don't understand why he is zoming out camera
Camera zoom out is very bad,otherwise very good lecture
Us camera Wale ki to 😤😤😤
Who was the camera man???
Thanks Prof
Sir your lectures are superior than other professors in the nptel platform like multivariable calculus
Change your cameraman sir.... Appears he is playing the game of zooming in and out
Camera man should focused on his work many time zooming is ignored
🎖❤🩹Thanksss
6:25 where is -ve sign before L{t^k+1f(t)} because it was present when we proved it for n=1
Sir in first ques according to unit step function it should be e^-2p than e^-p
Does ω contains only integer values??
Thanks sir Sir in tha last question’s solution ,why is sin(ωπ)=0 On the value putting of upper limit that was at t=π, why sin(ωt)=0 ??
sin(n*pi) = 0 for n=1,2,3......
@@priyashanjayakody3413 but why is it that ω is an integer can't ω be any other value?
Thank you sir for explaining us in a more beautiful and detailed way as compare to those teachers who have their own application and only explain when we give them some fruitful amount
Wow sir i love ur way of teaching , ur happiness while teaching i love it
How is that duster stick on the walls , is the board as well as duster made up of magnetic materials
Thank You Sir 😊 🙏
thanku...
Thank you very much Dr., warm Regards from Uganda