# Basic Calculus 1 and 2

- Institution: IIT Kanpur
- Department: Mathematics
- Teacher: Prof. Parasar Mohanty
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111104144)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111104144)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1: Real numbers and Archimedean property](https://invisiblenetwork.ai/learn/nptel/111104144/76e28e51cbbf) (Video)
2. [Lecture 2: Supremum and Decimal representation of Reals](https://invisiblenetwork.ai/learn/nptel/111104144/40b580e77818) (Video)
3. [Lecture 3: Functions](https://invisiblenetwork.ai/learn/nptel/111104144/69fbef72b4e4) (Video)
4. [Lecture 4: Functions continued and Limits](https://invisiblenetwork.ai/learn/nptel/111104144/eae1b1cb33e7) (Video)
5. [Lecture 5: Limits continued.](https://invisiblenetwork.ai/learn/nptel/111104144/417cf46bd289) (Video)
6. [Lecture 6: Limits (continued) and Continuity](https://invisiblenetwork.ai/learn/nptel/111104144/61cfe2aea28a) (Video)
7. [Lecture 7: Continuity and Intermediate Value Property](https://invisiblenetwork.ai/learn/nptel/111104144/a4a16e9ae21a) (Video)
8. [Lecture 8: Differentiation](https://invisiblenetwork.ai/learn/nptel/111104144/a96202630a34) (Video)
9. [Lecture 9: Chain Rule](https://invisiblenetwork.ai/learn/nptel/111104144/b2ae7c894862) (Video)
10. [Lecture 10: Nth derivative of a function](https://invisiblenetwork.ai/learn/nptel/111104144/e3531fdf60f3) (Video)
11. [Lecture 11: Local extrema and Rolle's theorem](https://invisiblenetwork.ai/learn/nptel/111104144/b3e79436c527) (Video)
12. [Lecture 12: Mean value theorem and Monotone functions](https://invisiblenetwork.ai/learn/nptel/111104144/8979656786b3) (Video)
13. [Lecture 13: Local extremum tests](https://invisiblenetwork.ai/learn/nptel/111104144/e6d2f5cd39f4) (Video)
14. [Lecture 14: Concavity and points of inflection](https://invisiblenetwork.ai/learn/nptel/111104144/1933cd86e5af) (Video)
15. [Lecture 15: Asymptotes and plotting graph of functions.](https://invisiblenetwork.ai/learn/nptel/111104144/ce4d0663ed0c) (Video)
16. [Lecture 16: Optimization and L'Hospital Rule](https://invisiblenetwork.ai/learn/nptel/111104144/d83cc67c2e35) (Video)
17. [Lecture 17: L'Hospital Rule continued and Cauchy Mean value theorem](https://invisiblenetwork.ai/learn/nptel/111104144/e7c94ebc90a4) (Video)
18. [Lecture 18: Approximation of Roots](https://invisiblenetwork.ai/learn/nptel/111104144/6db6a406d923) (Video)
19. [Lecture 19: Antiderivative and Riemann Integration](https://invisiblenetwork.ai/learn/nptel/111104144/d483009121f6) (Video)
20. [Lecture 20: Riemann's criterion for Integrability](https://invisiblenetwork.ai/learn/nptel/111104144/51284ffe8226) (Video)
21. [Lecture 21: Integration and its properties](https://invisiblenetwork.ai/learn/nptel/111104144/2f6c1e8cda84) (Video)
22. [Lecture 22: Area and Mean value theorem for integrals](https://invisiblenetwork.ai/learn/nptel/111104144/b8d70cf5e074) (Video)
23. [Lecture 23: Fundamental theorem of Calculus](https://invisiblenetwork.ai/learn/nptel/111104144/f6e26a063707) (Video)
24. [Lecture 24: Integration by parts and Trapezoidal rule](https://invisiblenetwork.ai/learn/nptel/111104144/070c1e621792) (Video)
25. [Lecture 25: Simpson's rule and Substitution in integrals](https://invisiblenetwork.ai/learn/nptel/111104144/14399a64861d) (Video)
26. [Lecture 26: Area between curves](https://invisiblenetwork.ai/learn/nptel/111104144/5e6a6c5c8954) (Video)
27. [Lecture 27: Arc Length and Parametric curves](https://invisiblenetwork.ai/learn/nptel/111104144/28323d4a78fc) (Video)
28. [Lecture 28: Polar Co-ordinates](https://invisiblenetwork.ai/learn/nptel/111104144/ce766aeee611) (Video)
29. [Lecture 29: Area of curves in polar coordinates](https://invisiblenetwork.ai/learn/nptel/111104144/dc6bb574205e) (Video)
30. [Lesson 30: Volume of solids](https://invisiblenetwork.ai/learn/nptel/111104144/f1c521a9ea81) (Video)
31. [Lecture 31: Improper Integrals](https://invisiblenetwork.ai/learn/nptel/111104144/f8e129e6bd1d) (Video)
32. [Lecture 32: Sequences](https://invisiblenetwork.ai/learn/nptel/111104144/dcff5c480330) (Video)
33. [Lecture 33: Algebra of sequences and Sandwich theorem](https://invisiblenetwork.ai/learn/nptel/111104144/eb4fbcf2ae03) (Video)
34. [Lecture 34: Subsequences](https://invisiblenetwork.ai/learn/nptel/111104144/7a531dc72dbe) (Video)
35. [Lecture 35: Series](https://invisiblenetwork.ai/learn/nptel/111104144/186b6216bcd1) (Video)
36. [Lecture 36: Comparison tests for Series](https://invisiblenetwork.ai/learn/nptel/111104144/448d3fc31a32) (Video)
37. [Lecture 37: Ratio and Root test for series](https://invisiblenetwork.ai/learn/nptel/111104144/84f1dac03325) (Video)
38. [Lecture 38: Integral test and Leibniz test for series](https://invisiblenetwork.ai/learn/nptel/111104144/2270bbf5260a) (Video)
39. [Lecture 39: Revision I](https://invisiblenetwork.ai/learn/nptel/111104144/0a6aa9846a0e) (Video)
40. [Lecture 40: Revision II](https://invisiblenetwork.ai/learn/nptel/111104144/54d091d384a6) (Video)