Learn · Differential Calculus in Several Variables

Lecture 15 of 21Taylor’s formula and maximum minimum for real valued functions

Specialisation to functions of two variables

Prof. S Dutta · IIT Kanpur

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Differential Calculus in Several Variables, IIT Kanpur (at NPTEL)
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All the lectures

  1. Introduction to Several Variables and Notion Of distance in Rn Video
  2. Countinuity And Compactness Video
  3. Countinuity And Connectdness Video
  4. Derivatives: Possible Definition Video
  5. Matrix Of Linear Transformation Video
  6. Examples for Differentiable function Video
  7. Sufficient condition of differentiability Video
  8. Chain Rule Video
  9. Mean Value Theorem Video
  10. Higher Order Derivatives Video
  11. Taylor\'s Formula Video
  12. Maximum And Minimum Video
  13. Second derivative test for maximum, minimum and saddle point Video
  14. We formalise the second derivative test discussed in Lecture 2 and do examples. Video
  15. Specialisation to functions of two variables Video
  16. Implicit Function Theorem Video
  17. Implicit Function Theorem -a Video
  18. Application of IFT: Lagrange\'s Multipliers Method Video
  19. Application of IFT: Lagrange\'s Multipliers Method- b Video
  20. Application of IFT: Lagrange\'s Multipliers Method - c Video
  21. Application of IFT: Inverse Function Theorem - c Video