# Mathematics I

- Institution: IIT Kanpur
- Department: Basic courses-Sem 1 and 2
- Taught by: Prof. Swagato K. Ray, Prof. Shobha Madan, Dr. P. Shunmugaraj
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/122104017)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/122104017)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Real Number](https://invisiblenetwork.ai/learn/nptel/122104017/bc57350f6be0) (Video)
2. [Sequences I](https://invisiblenetwork.ai/learn/nptel/122104017/d21a5187a96a) (Video)
3. [Sequences II](https://invisiblenetwork.ai/learn/nptel/122104017/4ff417b61a80) (Video)
4. [Sequences III](https://invisiblenetwork.ai/learn/nptel/122104017/fdeb20d7034b) (Video)
5. [Continuous Function](https://invisiblenetwork.ai/learn/nptel/122104017/daef845f2055) (Video)
6. [Properties of Continuous Function](https://invisiblenetwork.ai/learn/nptel/122104017/8a1cbee336be) (Video)
7. [Uniform Continuity](https://invisiblenetwork.ai/learn/nptel/122104017/03d19916f282) (Video)
8. [Differentiable Functions](https://invisiblenetwork.ai/learn/nptel/122104017/3861490284b8) (Video)
9. [Mean Value Theorem](https://invisiblenetwork.ai/learn/nptel/122104017/8ed97b72be28) (Video)
10. [Maxima - Minima](https://invisiblenetwork.ai/learn/nptel/122104017/ab1c7265a839) (Video)
11. [Taylor's Theorem](https://invisiblenetwork.ai/learn/nptel/122104017/522915fadbff) (Video)
12. [Curve Sketching](https://invisiblenetwork.ai/learn/nptel/122104017/0ec0fe68f819) (Video)
13. [Infinite Series I](https://invisiblenetwork.ai/learn/nptel/122104017/c6ef626f29c8) (Video)
14. [Infinite Series II](https://invisiblenetwork.ai/learn/nptel/122104017/7ba7d33b991b) (Video)
15. [Tests of Convergence](https://invisiblenetwork.ai/learn/nptel/122104017/edc298adb4e0) (Video)
16. [Power Series](https://invisiblenetwork.ai/learn/nptel/122104017/e93a0230cb0b) (Video)
17. [Riemann Integral](https://invisiblenetwork.ai/learn/nptel/122104017/4076c081de9b) (Video)
18. [Riemann Integrable Functions](https://invisiblenetwork.ai/learn/nptel/122104017/6f6495b49903) (Video)
19. [Applications of Riemann Integral](https://invisiblenetwork.ai/learn/nptel/122104017/586f8d14088c) (Video)
20. [Length of a curve](https://invisiblenetwork.ai/learn/nptel/122104017/db526f71897a) (Video)
21. [Line Integrals](https://invisiblenetwork.ai/learn/nptel/122104017/5670f786eaab) (Video)
22. [Functions of Several Variables](https://invisiblenetwork.ai/learn/nptel/122104017/192dbe2439d5) (Video)
23. [Differentiation](https://invisiblenetwork.ai/learn/nptel/122104017/183ba78cea77) (Video)
24. [Derivatives](https://invisiblenetwork.ai/learn/nptel/122104017/001774e705a8) (Video)
25. [Mean Value Theorem](https://invisiblenetwork.ai/learn/nptel/122104017/c5b1d05f33a1) (Video)
26. [Maxima Minima](https://invisiblenetwork.ai/learn/nptel/122104017/f342ff5b2eeb) (Video)
27. [Method of Lagrange Multipliers](https://invisiblenetwork.ai/learn/nptel/122104017/5390f7bbdb3f) (Video)
28. [Multiple Integrals](https://invisiblenetwork.ai/learn/nptel/122104017/032913b51021) (Video)
29. [Surface Integrals](https://invisiblenetwork.ai/learn/nptel/122104017/d7905ad5c0cc) (Video)
30. [Green's Theorem](https://invisiblenetwork.ai/learn/nptel/122104017/c1cc6b6236ef) (Video)
31. [Stokes Theorem](https://invisiblenetwork.ai/learn/nptel/122104017/9b875a45e606) (Video)
32. [Gauss Divergence Theorem](https://invisiblenetwork.ai/learn/nptel/122104017/bd08810b6fa7) (Video)