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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
Description:
This is part of a standard course contents in Several Variable Calculus. The idea of the course is to provide students with different backgrounds a common platform to take up further topics in Mathematics, Physics and Engineering.

Differential Calculus in Several Variables

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#Mathematics #Calculus #Differential Calculus #Business #Finance #Trading #Derivatives #Chain Rule #Algebra #Linear Algebra #Linear Transformations #Differentiability #Mean Value Theorem
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Introduction to Several Variables and Notion Of distance in Rn