Linearization via Taylor Series

Hi everyone, in this video we introduce the idea of approximating a function using a Taylor Series expansion. We show the general method of applying the expansion to a non linear function and then demonstrate how each term in the series contribute to the approximation. We see that with only a few terms we can approximate a higher order function around a local point. Always be sure to remember that the approximation is typically only valid near the local point.

Пікірлер: 5

  • @miksu2758
    @miksu275810 ай бұрын

    great video! thanks

  • @jamescontrol

    @jamescontrol

    8 ай бұрын

    Aww thank you! is there any topic you would like me to do more of?

  • @johnnig3589
    @johnnig35892 жыл бұрын

    great vid, but i think you made a mistake at 6:06 you say 2x-1 but the screen says 2x-2?

  • @duongnphong

    @duongnphong

    Жыл бұрын

    he meant 2(x-1) when he said it

  • @jamescontrol

    @jamescontrol

    Жыл бұрын

    Thank you! I missed this comment and you are correct =)