Mathematical methods and its applications
Mathematical methods and its applications
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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.
Переглядів: 8 534

Відео

Lecture 59-Applications of Fourier transforms to BVP-II
Переглядів 10 тис.7 років тому
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
Переглядів 28 тис.7 років тому
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
Переглядів 26 тис.7 років тому
In this lecture, the convolution theorem for Fourier transforms have been discussed with examples.
Lecture 56-Fourier sine and cosine transforms
Переглядів 46 тис.7 років тому
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
Переглядів 23 тис.7 років тому
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
Переглядів 42 тис.7 років тому
In this lecture, Fourier sine and cosine integral of a function are defined and examples have been discussed.
Lecture 53-Fourier integrals
Переглядів 63 тис.7 років тому
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
Переглядів 33 тис.7 років тому
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
Переглядів 32 тис.7 років тому
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
Переглядів 25 тис.7 років тому
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
Переглядів 51 тис.7 років тому
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
Переглядів 30 тис.7 років тому
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
Переглядів 73 тис.7 років тому
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
Переглядів 3,3 тис.7 років тому
Lecture 46- Applications of Z- transform- II
Lecture 45- Applications of Z- transforms - I
Переглядів 6 тис.7 років тому
Lecture 45- Applications of Z- transforms - I
Lec 44 Convergence of Z transform
Переглядів 3,4 тис.7 років тому
Lec 44 Convergence of Z transform
Lecture 43- Convolution theorem for Z- transforms
Переглядів 12 тис.7 років тому
Lecture 43- Convolution theorem for Z- transforms
Lecture 42- Initial and final theorems for Z- transforms
Переглядів 10 тис.7 років тому
Lecture 42- Initial and final theorems for Z- transforms
Lecture 41- Properties of Z- transform- II
Переглядів 5 тис.7 років тому
Lecture 41- Properties of Z- transform- II
Lecture 40- Properties of Z- transforms- I
Переглядів 6 тис.7 років тому
Lecture 40- Properties of Z- transforms- I
Lecture 39- Z- transform and inverse Z- transform of elementary functions
Переглядів 18 тис.7 років тому
Lecture 39- Z- transform and inverse Z- transform of elementary functions
Lecture 38-Applications of Laplace Transforms-III
Переглядів 4,5 тис.7 років тому
Lecture 38-Applications of Laplace Transforms-III
Lecture 37-Applications of Laplace Transforms-II
Переглядів 4,4 тис.7 років тому
Lecture 37-Applications of Laplace Transforms-II
Lecture 36-Applications of Laplace Transforms-I
Переглядів 6 тис.7 років тому
Lecture 36-Applications of Laplace Transforms-I
Lecture 35-Laplace Transforms of Dirac delta Functions
Переглядів 11 тис.7 років тому
Lecture 35-Laplace Transforms of Dirac delta Functions
Lecture 34-Laplace Transforms of Unit Step Function
Переглядів 26 тис.7 років тому
Lecture 34-Laplace Transforms of Unit Step Function
Lecture 33-Laplace Transforms of Periodic Functions
Переглядів 9 тис.7 років тому
Lecture 33-Laplace Transforms of Periodic Functions
Lecture 31-Convolution Theorem for Laplace Transforms-II
Переглядів 28 тис.7 років тому
Lecture 31-Convolution Theorem for Laplace Transforms-II
Lecture 32-Initial and Final Value Theorems for Laplace Transforms
Переглядів 8 тис.7 років тому
Lecture 32-Initial and Final Value Theorems for Laplace Transforms

КОМЕНТАРІ

  • @FrancisDedo
    @FrancisDedo 17 годин тому

    Great Dr. Agrawal

  • @prathamrana8916
    @prathamrana8916 Місяць тому

    i think sir aapne saare topic isse related clear kar diye thanks a lot great explanation sir

  • @Tasneem-u5t
    @Tasneem-u5t Місяць тому

    god bless you

  • @Scenesizzlevikyk
    @Scenesizzlevikyk 2 місяці тому

    thanks sir

  • @yisamojisola
    @yisamojisola 4 місяці тому

    You speaks quickly, can you be a little slower.

  • @gimansanchintha3855
    @gimansanchintha3855 5 місяців тому

    Bad explanation steps not understandable👎

  • @sherzadakhan3191
    @sherzadakhan3191 5 місяців тому

    can someone explain, why Fourier series was taken in variable x but the coefficients were taken in variable t. Regards

  • @preparationzone
    @preparationzone 6 місяців тому

    Thanks a lot sir... Please sir aur bhi video upload kijiye 😊

  • @VictorVictory-te2ij
    @VictorVictory-te2ij 7 місяців тому

    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!

  • @oluwatosinvincent5939
    @oluwatosinvincent5939 7 місяців тому

    Please can you drop the PDF of the slide you're using?

  • @pramodsharma75158
    @pramodsharma75158 8 місяців тому

    wow

  • @pramodsharma75158
    @pramodsharma75158 8 місяців тому

    love you sir ❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣❣🙉🙉🙉🙉🙉🙉🙉🙉🙉🙉🙉🙉

  • @pramodsharma75158
    @pramodsharma75158 8 місяців тому

    thanku sir

  • @lovesingh6455
    @lovesingh6455 9 місяців тому

    Amazing lecture.

  • @Rangaswami-kq4ye
    @Rangaswami-kq4ye 10 місяців тому

    sir how did you took l = 1 as we take l=Pi when its extension from 0 to 2*Pi

  • @adexkeyz3895
    @adexkeyz3895 Рік тому

    I don't understand shit Sir I don't understand

    • @VictorVictory-te2ij
      @VictorVictory-te2ij 7 місяців тому

      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!

    • @VictorVictory-te2ij
      @VictorVictory-te2ij 7 місяців тому

      *Typo...hi-level and complex... pardonay mua!

  • @ramawatarkumawat9414
    @ramawatarkumawat9414 Рік тому

    Nice

  • @thomasjefferson6225
    @thomasjefferson6225 Рік тому

    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.

  • @13malikyaasseen99
    @13malikyaasseen99 Рік тому

    Hell with this cameraman, why is he focusing on sir whole structure instead of focusing on whiteboard. Cameraman is inexperienced.

  • @its.swayam4024
    @its.swayam4024 Рік тому

    Thank you so much, sir .. for these excellent lectures and for being a Messiah for us.

  • @slucky7277
    @slucky7277 Рік тому

    its all thanks to you that i passed my maths course

  • @thisenvinujitha2668
    @thisenvinujitha2668 Рік тому

    thank you sir...lot:)

  • @Chei_git2
    @Chei_git2 Рік тому

    please kindly improve on your camera postioning, I am having a hard time following up

  • @manabbarai2566
    @manabbarai2566 Рік тому

    is not the numerator of absolute value of an and bn be 2*l**2*m sir?

  • @kanthikanthi828
    @kanthikanthi828 Рік тому

    a not value is 2 pi sir

  • @mohammadabushnen9857
    @mohammadabushnen9857 2 роки тому

    thank you ser

  • @madhavyadav8499
    @madhavyadav8499 2 роки тому

    I like it professor

  • @calvinjackson8110
    @calvinjackson8110 2 роки тому

    Nicely done! I like your proof because it uses the basic idea of change order of integration. Easy to understand!

  • @anavicutie
    @anavicutie 2 роки тому

    Hamko dekhne de to samjh me aaye likh re vo to dikhta ni khud hi

  • @anavicutie
    @anavicutie 2 роки тому

    Khud hi pad le

  • @Sacchidananda
    @Sacchidananda 2 роки тому

    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 😃🙏

  • @emc2884
    @emc2884 2 роки тому

    One of the best profesor in NPTEL

  • @dreamteam1701
    @dreamteam1701 2 роки тому

    Good lecture but very bad Camera man work

  • @dreamteam1701
    @dreamteam1701 2 роки тому

    Well explained but very very poor camera man work I don't understand why he is zoming out camera

  • @dreamteam1701
    @dreamteam1701 2 роки тому

    Camera zoom out is very bad,otherwise very good lecture

  • @emc2884
    @emc2884 2 роки тому

    Us camera Wale ki to 😤😤😤

  • @emc2884
    @emc2884 2 роки тому

    Who was the camera man???

  • @emc2884
    @emc2884 2 роки тому

    Thanks Prof

  • @emc2884
    @emc2884 2 роки тому

    Sir your lectures are superior than other professors in the nptel platform like multivariable calculus

  • @subhadipnath1092
    @subhadipnath1092 2 роки тому

    Change your cameraman sir.... Appears he is playing the game of zooming in and out

  • @ABHISHEKKUMAR-sw6rq
    @ABHISHEKKUMAR-sw6rq 2 роки тому

    Camera man should focused on his work many time zooming is ignored

  • @zehrafatima5945
    @zehrafatima5945 2 роки тому

    🎖❤‍🩹Thanksss

  • @piyushsaini8833
    @piyushsaini8833 2 роки тому

    6:25 where is -ve sign before L{t^k+1f(t)} because it was present when we proved it for n=1

  • @deovratsingh5922
    @deovratsingh5922 2 роки тому

    Sir in first ques according to unit step function it should be e^-2p than e^-p

  • @tileshwarnathshukla5175
    @tileshwarnathshukla5175 2 роки тому

    Does ω contains only integer values??

  • @tileshwarnathshukla5175
    @tileshwarnathshukla5175 2 роки тому

    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 ??

    • @priyashanjayakody3413
      @priyashanjayakody3413 2 роки тому

      sin(n*pi) = 0 for n=1,2,3......

    • @anup5870
      @anup5870 Рік тому

      @@priyashanjayakody3413 but why is it that ω is an integer can't ω be any other value?

  • @devladhani7571
    @devladhani7571 2 роки тому

    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

  • @soledefender35
    @soledefender35 3 роки тому

    Wow sir i love ur way of teaching , ur happiness while teaching i love it

  • @soledefender35
    @soledefender35 3 роки тому

    How is that duster stick on the walls , is the board as well as duster made up of magnetic materials

  • @d.nehareddy7679
    @d.nehareddy7679 3 роки тому

    Thank You Sir 😊 🙏