Integral and Vector Calculus

Integral and Vector Calculus

IIT Kharagpur July 2018 via YouTube Direct link

Lecture 50 : Application to Mechanics, Velocity, speed , acceleration

51 of 61

51 of 61

Lecture 50 : Application to Mechanics, Velocity, speed , acceleration

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Integral and Vector Calculus

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  1. 1 Integral and Vector Calculus
  2. 2 Lecture 01 : Partition, Riemann intergrability and One example
  3. 3 Lecture 02 : Partition, Riemann intergrability and One example (Contd.)
  4. 4 Lecture 03 : Condition of integrability
  5. 5 Lecture 04 : Theorems on Riemann integrations
  6. 6 Lecture 05 : Examples
  7. 7 Lecture 06 : Examples (Contd.)
  8. 8 Lecture 07 : Reduction formula
  9. 9 Lecture 08 : Reduction formula (Contd.)
  10. 10 Lecture 09 : Improper Integral
  11. 11 Lecture 10 : Improper Integral (Contd.)
  12. 12 Lecture 11 : Improper Integral (Contd.)
  13. 13 Lecture 12 : Improper Integral (Contd.)
  14. 14 Lecture 13 : Introduction to Beta and Gamma Function
  15. 15 Lecture 14 : Beta and Gamma Function
  16. 16 Lecture 15 : Differentiation under Integral Sign
  17. 17 Lecture 16 : Differentiation under Integral Sign (Contd.)
  18. 18 Lecture 17 : Double Integral
  19. 19 Lecture 18 : Double Integral over a Region E
  20. 20 Lecture 19 : Examples of Integral over a Region E
  21. 21 Lecture 20 : Change of variables in a Double Integral
  22. 22 Lecture 21 : Change of order of Integration
  23. 23 Lecture 22 : Triple Integral
  24. 24 Lecture 23 : Triple Integral (Contd.)
  25. 25 Lecture 24 : Area of Plane Region
  26. 26 Lecture 25 : Area of Plane Region (Contd.)
  27. 27 Lecture 26 : Rectification
  28. 28 Lecture 27 : Rectification (Contd.)
  29. 29 Lecture 28 : Surface Integral
  30. 30 Lecture 29 : Surface Integral (Contd.)
  31. 31 Lecture 30 : Surface Integral (Contd.)
  32. 32 Lecture 31 : Volume Integral, Gauss Divergence Theorem
  33. 33 Lecture 32 : Vector Calculus
  34. 34 Lecture 33 : Limit, Continuity, Differentiability
  35. 35 Lecture 34 : Successive Differentiation
  36. 36 Lecture 35 : Integration of Vector Function
  37. 37 Lecture 36 : Gradient of a Function
  38. 38 Lecture 37 : Divergence & Curl
  39. 39 Lecture 38 : Divergence & Curl Examples
  40. 40 Lecture 39 : Divergence & Curl important Identities
  41. 41 Lecture 40 : Level Surface Relevant Theorems
  42. 42 Lecture 41 : Directional Derivative (Concept & Few Results)
  43. 43 Lecture 42 : Directional Derivative (Concept & Few Results) (Contd.)
  44. 44 Lecture 43 : Directional Derivatives, Level Surfaces
  45. 45 Lecture 44 : Application to Mechanics
  46. 46 Lecture 45 : Equation of Tangent, Unit Tangent Vector
  47. 47 Lecture 46 : Unit Normal, Unit binormal, Equation of Normal Plane
  48. 48 Lecture 47 : Introduction and Derivation of Serret-Frenet Formula, few results
  49. 49 Lecture 48 : Example on binormal, normal tangent, Serret-Frenet Formula
  50. 50 Lecture 49 : Osculating Plane, Rectifying plane, Normal plane
  51. 51 Lecture 50 : Application to Mechanics, Velocity, speed , acceleration
  52. 52 Lecture 51 : Angular Momentum, Newton's Law
  53. 53 Lecture 52 : Example on derivation of equation of motion of particle
  54. 54 Lecture 53 : Line Integral
  55. 55 Lecture 54 : Surface integral
  56. 56 Lecture 55 : Surface integral (Contd.)
  57. 57 Lecture 56 : Green's Theorem & Example
  58. 58 Lecture 57 : Volume integral, Gauss theorem
  59. 59 Lecture 58 : Gauss divergence theorem
  60. 60 Lecture 59 : Stoke's Theorem
  61. 61 Lecture 60 : Overview of Course

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