Learn · Integral and Vector Calculus

Lecture 32 of 67WEEK 7

Lecture 32: Vector Calculus

Prof. Hari Shankar Mahato · IIT Kharagpur

Credits and licence

From
Integral and Vector Calculus, IIT Kharagpur (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
Who can watch
Tweens profiles and older. How courses are placed

All the lectures

  1. Lecture 1 : Partition, Riemann intergrability and One example Video
  2. Lecture 2 : Partition, Riemann intergrability and One example (Contd.) Video
  3. Lecture 3 : Condition of integrability Video
  4. Lecture 4 : Theorems on Riemann integrations Video
  5. Lecture 5 : Examples Video
  6. Lecture 06: Examples (Contd.) Video
  7. Lecture 07: Reduction formula Video
  8. Lecture 08: Reduction formula (Contd.) Video
  9. Lecture 09: Improper Integral Video
  10. Lecture 10: Improper Integral (Contd.) Video
  11. Lecture 11 : Improper Integral (Contd.) Video
  12. Lecture 12 : Improper Integral (Contd.) Video
  13. Lecture 13 : Introduction to Beta and Gamma Function Video
  14. Lecture 14 : Beta and Gamma Function Video
  15. Lecture 15 :Differentiation under Integral Sign Video
  16. Lecture 16 : Differentiation under Integral Sign (Contd.) Video
  17. Lecture 17 : Double Integral Video
  18. Lecture 18 : Double Integral over a Region E Video
  19. Lecture 19 : Examples of Integral over a Region E Video
  20. Lecture 20 : Change of variables in a Double Integral Video
  21. Lecture 21: Change of order of Integration Video
  22. Lecture 22: Triple Integral Video
  23. Lecture 23: Triple Integral (Contd.) Video
  24. Lecture 24: Area of Plane Region Video
  25. Lecture 25: Area of Plane Region (Contd.) Video
  26. Lecture 26 :Rectification Video
  27. Lecture 27 : Rectification (Contd.) Video
  28. Lecture 28 : Surface Integral Video
  29. Lecture 29 : Surface Integral (Contd.) Video
  30. Lecture 30 : Surface Integral (Contd.) Video
  31. Lecture 31: Volume Integral, Gauss Divergence Theorem Video
  32. Lecture 32: Vector Calculus Video
  33. Lecture 33: Limit, Continuity, Differentiability Video
  34. Lecture 34: Successive Differentiation Video
  35. Lecture 35: Integration of Vector Function Video
  36. Lecture 36: Gradient of a Function Video
  37. Lecture 37: Divergence & Curl Video
  38. Lecture 38: Divergence & Curl Examples Video
  39. Lecture 39: Divergence & Curl important Identities Video
  40. Lecture 40: Level Surface Relevant Theorems Video
  41. Lecture 41: Directional Derivative (Concept & Few Results) Video
  42. Lecture 42: Directional Derivative (Concept & Few Results) (Contd.) Video
  43. Lecture 43: Directional Derivatives, Level Surfaces Video
  44. Lecture 44: Application to Mechanics Video
  45. Lecture 45: Equation of Tangent, Unit Tangent Vector Video
  46. Lecture 46: Unit Normal, Unit binormal, Equation of Normal Plane Video
  47. Lecture 47: Introduction and Derivation of Serret-Frenet Formula, few results Video
  48. Lecture 48: Example on binormal, normal tangent, Serret-Frenet Formula Video
  49. Lecture 49: Osculating Plane, Rectifying plane, Normal plane Video
  50. Lecture 50: Application to Mechanics, Velocity, speed , acceleration Video
  51. Lecture 51: Angular Momentum, Newton's Law Video
  52. Lecture 52: Example on derivation of equation of motion of particle Video
  53. Lecture 53: Line Integral Video
  54. Lecture 54: Surface integral Video
  55. Lecture 55: Surface integral (Contd.) Video
  56. Lecture 56: Green's Theorem & Example Video
  57. Lecture 57: Volume integral, Gauss theorem Video
  58. Lecture 58: Gauss divergence theorem Video
  59. Lecture 59: Stoke's Theorem Video
  60. Lecture 60: Overview of Course Video
  61. Live Session 07-04-2021 Video
  62. Live Session 21-04-2021 Video
  63. Live Session 20-02-2020 Video
  64. Live Session 16-03-2020 Video
  65. Live Session 03-03-2022 Video
  66. Live Session 01-04-2022 Video
  67. Live Session 18-04-2022 Video