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