# Basic Calculus - 1

- Institution: IIT Madras
- Department: Mathematics
- Teacher: Prof. Arindama Singh
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106146)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106146)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [The Real line - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/f793d5b53d14) (Video)
2. [The Real line - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/49035214105e) (Video)
3. [Absolute value - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/71f1460033b4) (Video)
4. [Absolute value - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/9a171290548a) (Video)
5. [Functions - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/8636ff6e8dee) (Video)
6. [Functions - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/c8e387607417) (Video)
7. [Transcendental and trigonometric Functions - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/652f9f5803d1) (Video)
8. [Transcendental and trigonometric Functions - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/1b0130c5b59b) (Video)
9. [Limits of functions - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/2c88a697f39b) (Video)
10. [Limits of functions - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/ad557c18f519) (Video)
11. [Algebra of limits - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/0b42433748d2) (Video)
12. [Algebra of limits - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/04c6288cbee9) (Video)
13. [One-sided limits - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/a6286784f12c) (Video)
14. [One-sided limits - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/d7ae21eb1756) (Video)
15. [Limits at infinity - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/f04a18b4baef) (Video)
16. [Limits at infinity - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/99b8939a715b) (Video)
17. [Infinite limits - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/a2aab08012b8) (Video)
18. [Infinite limits - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/43b456b12558) (Video)
19. [Continuity - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/0c3f7386735c) (Video)
20. [Continuity - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/84246775bd4b) (Video)
21. [Algebra of continuous functions - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/272cf12ebaee) (Video)
22. [Algebra of continuous functions - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/2430e9cc6a9d) (Video)
23. [Results on continuity - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/1360a3eabdab) (Video)
24. [Results on continuity - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/b8548367d794) (Video)
25. [Differentiability - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/2d23c18fa1a0) (Video)
26. [Differentiability - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/a44e6be3ff04) (Video)
27. [Derivative and tangent - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/ec3c59ef50c4) (Video)
28. [Derivative and tangent - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/dd5d47f3fc28) (Video)
29. [Rules of differentiation - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/fb34a12e329b) (Video)
30. [Rules of differentiation - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/1c828dff6801) (Video)
31. [Differentiation exercises - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/62c463d401ef) (Video)
32. [Differentiation exercises - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/478cdffa8f4f) (Video)
33. [Maxima and minima - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/8eb772aabcc9) (Video)
34. [Maxima and minima - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/b042d30156fa) (Video)
35. [Rolle's theorem and mean value theorem - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/0e93db90795d) (Video)
36. [Rolle's theorem and mean value theorem - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/e1e3f5d8acc0) (Video)
37. [Using Rolle's theorem and Mean value theorem - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/f11709604ab0) (Video)
38. [Using Rolle's theorem and Mean value theorem - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/4085d49edf76) (Video)
39. [First derivative test - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/6e8357022d04) (Video)
40. [First derivative test - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/a0ebe243a660) (Video)
41. [Second derivative test - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/7d3cef39b180) (Video)
42. [Second derivative test - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/8c130b76993e) (Video)
43. [Concavity - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/7e08cc42cd71) (Video)
44. [Concavity - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/01dac4ed9404) (Video)
45. [Linearization and differential - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/f3021a6c32e6) (Video)
46. [Linearization and differential - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/ba3b8afc93c2) (Video)
47. [L'Hospital's rules - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/a47dd881ebfa) (Video)
48. [L'Hospital's rules - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/bed70182d283) (Video)
49. [Definite integral - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/b73466046dab) (Video)
50. [Definite integral - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/6e50acd9cbf2) (Video)
51. [Properties of integral - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/99201c7de9e7) (Video)
52. [Properties of integral - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/d16f7ebc8d87) (Video)
53. [Fundamental theorem of calculus - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/a48c31743b4e) (Video)
54. [Fundamental theorem of calculus - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/6f9d70039da0) (Video)
55. [Applications of Funda - mental theorem of calculus - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/9f1fee620358) (Video)
56. [Applications of Funda - mental theorem of calculus - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/cb50bd62edf5) (Video)
57. [Rule of substitution - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/83fbc180c684) (Video)
58. [Rule of substitution - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/0defbd4b1a5d) (Video)
59. [Area between curves - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/963620feae57) (Video)
60. [Area between curves - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/e350e7c44cd1) (Video)
61. [Volumes by slicing - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/7705a78e02d4) (Video)
62. [Volumes by slicing - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/5f0342b7c3f8) (Video)
63. [The disk method - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/b232a9fc2bd2) (Video)
64. [The disk method - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/6c131e906116) (Video)
65. [The washer method - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/1c07a58fe10a) (Video)
66. [The washer method - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/4e711ff2cade) (Video)
67. [Volumes by cylindrical shells - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/7d866cb5094a) (Video)
68. [Volumes by cylindrical shells - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/2a69accc5a82) (Video)
69. [Lengths oc curves - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/f66e64ae0c96) (Video)
70. [Lengths oc curves - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/55d81b88922c) (Video)
71. [Areas of surface of revolution - Part 1](https://invisiblenetwork.ai/learn/nptel/111106146/ed80607b28d7) (Video)
72. [Areas of surface of revolution - Part 2](https://invisiblenetwork.ai/learn/nptel/111106146/cc0c428ea83f) (Video)
73. [Live Session 03-03-2021](https://invisiblenetwork.ai/learn/nptel/111106146/f793d5b53d14-2) (Video)