Differential Calculus in Several Variables W2X1GNYRC6

Expressions

Language	en
Date	2016-03-13

Contents

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