# Differential Calculus in Several Variables

- Institution: IIT Kanpur
- Department: Mathematics
- Teacher: Prof. S Dutta
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111104092)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111104092)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to Several Variables and Notion Of distance in Rn](https://invisiblenetwork.ai/learn/nptel/111104092/06127add57c6) (Video)
2. [Countinuity And Compactness](https://invisiblenetwork.ai/learn/nptel/111104092/5ee3fdd1d779) (Video)
3. [Countinuity And Connectdness](https://invisiblenetwork.ai/learn/nptel/111104092/2a15c7e0248f) (Video)
4. [Derivatives: Possible Definition](https://invisiblenetwork.ai/learn/nptel/111104092/394cbbc5c576) (Video)
5. [Matrix Of Linear Transformation](https://invisiblenetwork.ai/learn/nptel/111104092/1f6bc4455e55) (Video)
6. [Examples for Differentiable function](https://invisiblenetwork.ai/learn/nptel/111104092/ed2a0629a68d) (Video)
7. [Sufficient condition of differentiability](https://invisiblenetwork.ai/learn/nptel/111104092/70a8594c75c1) (Video)
8. [Chain Rule](https://invisiblenetwork.ai/learn/nptel/111104092/40c27e109528) (Video)
9. [Mean Value Theorem](https://invisiblenetwork.ai/learn/nptel/111104092/2e812a1780be) (Video)
10. [Higher Order Derivatives](https://invisiblenetwork.ai/learn/nptel/111104092/9a1e9bacd6f9) (Video)
11. [Taylor\'s Formula](https://invisiblenetwork.ai/learn/nptel/111104092/ce9a10738fe2) (Video)
12. [Maximum And Minimum](https://invisiblenetwork.ai/learn/nptel/111104092/99e33af82a42) (Video)
13. [Second derivative test for maximum, minimum and saddle point](https://invisiblenetwork.ai/learn/nptel/111104092/b5d1535b2316) (Video)
14. [We formalise the second derivative test discussed in Lecture 2 and do examples.](https://invisiblenetwork.ai/learn/nptel/111104092/f07b120c5e97) (Video)
15. [Specialisation to functions of two variables](https://invisiblenetwork.ai/learn/nptel/111104092/3db11a5a3338) (Video)
16. [Implicit Function Theorem](https://invisiblenetwork.ai/learn/nptel/111104092/3647c366c5c9) (Video)
17. [Implicit Function Theorem -a](https://invisiblenetwork.ai/learn/nptel/111104092/7edf23da59a5) (Video)
18. [Application of IFT: Lagrange\'s Multipliers Method](https://invisiblenetwork.ai/learn/nptel/111104092/a064beabe299) (Video)
19. [Application of IFT: Lagrange\'s Multipliers Method- b](https://invisiblenetwork.ai/learn/nptel/111104092/78fc82521d5a) (Video)
20. [Application of IFT: Lagrange\'s Multipliers Method - c](https://invisiblenetwork.ai/learn/nptel/111104092/410d728e0e7d) (Video)
21. [Application of IFT: Inverse Function Theorem - c](https://invisiblenetwork.ai/learn/nptel/111104092/69f617ad5bc5) (Video)