Learn · Engineering Mathematics II

Lecture 3 of 74WEEK 1

Lecture 03: Divergence and Curl of a Vector Field

Prof. Jitendra Kumar · IIT Kharagpur

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Engineering Mathematics II, IIT Kharagpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 01 : Vector Functions Video
  2. Lecture 02: Vector and Scalar Fields Video
  3. Lecture 03: Divergence and Curl of a Vector Field Video
  4. Lecture 04: Line Integrals Video
  5. Lecture 05: Conservative Vector Field Video
  6. Lecture 06: Green's Theorem Video
  7. Lecture 07: Surface Integral - I Video
  8. Lecture 08: Surface Integral - II Video
  9. Lecture 09: Stokes' Theorem Video
  10. Lecture 10: Divergence Theorem Video
  11. Lecture 11: Complex Numbers and Functions Video
  12. Lecture 12: Differentiability of Complex Functions Video
  13. Lecture 13: Analytic Functions Video
  14. Lecture 14: Line Integral Video
  15. Lecture 15: Cauchy Integral Theorem Video
  16. Lecture 16 : Cauchy Integral Formula Video
  17. Lecture 17 : Taylor's Series Video
  18. Lecture 18 : Laurent's Series Video
  19. Lecture 19 : Singularities Video
  20. Lecture 20 : Residue Video
  21. Lecture 21 : Iterative Methods for Solving System of Linear Equations Video
  22. Lecture 22 : Iterative Methods for Solving System of Linear Equations (Cont.) Video
  23. Lecture 23 : Iterative Methods for Solving System of Linear Equations (Cont.) Video
  24. Lecture 24 : Roots of Algebraic and Transcendental Equations Video
  25. Lecture 25 : Roots of Algebraic and Transcendental Equations (Cont.) Video
  26. Lecture 26: Polynomial Interpolation Video
  27. Lecture 27: Polynomial Interpolation (Cont.) Video
  28. Lecture 28: Polynomial Interpolation (Cont.) Video
  29. Lecture 29: "Polynomial Interpolation (Cont.)" Video
  30. Lecture 30: Numerical Integration Video
  31. Lecture 31: "Trigonometric Polynomials and Series" Video
  32. Lecture 32: Derivation of Fourier Series Video
  33. Lecture 33: Fourier Series -Evaluation Video
  34. Lecture 34: Convergence of Fourier Series -I Video
  35. Lecture 35: "Convergence of Fourier Series - II" Video
  36. Lecture 36: "Fourier Series for Even and Odd Functions" Video
  37. Lecture 37: Half Range Fourier Expansions Video
  38. Lecture 38: "Differentiation and Integration of Fourier Series" Video
  39. Lecture 39: Bessel's Inequality and Parseval's Identity Video
  40. Lecture 40: Complex Form of Fourier Series Video
  41. Lecture 41: "Fourier Integral Representation of a Function" Video
  42. Lecture 42: "Fourier Sine and Cosine Integrals" Video
  43. Lecture 43: " Fourier Cosine and Sine Transform" Video
  44. Lecture 44: Fourier Transform Video
  45. Lecture 45: Properties of Fourier Transform Video
  46. Lecture 46: "Evaluation of Fourier Transform (Part - 1)" Video
  47. Lecture 47: "Evaluation of Fourier Transform (Part - 2)" Video
  48. Lecture 48: " Introduction to Partial Differential Equations" Video
  49. Lecture 49 : Applications of Fourier Transform to PDEs (Part -1) Video
  50. Lecture 50 : Applications of Fourier Transform to PDEs (Part -2) Video
  51. Lecture 51 : Laplace Transform of Some Elementary Functions Video
  52. Lecture 52 : Existence of Laplace Transform Video
  53. Lecture 53 : Inverse Laplace Transform Video
  54. Lecture 54 : Properties of Laplace Transform Video
  55. Lecture 55 : Properties of Laplace Transform (Cont.) Video
  56. Lecture 56 : Properties of Laplace Transform (Cont.) Video
  57. Lecture 57 : Laplace Transform of Special Functions Video
  58. Lecture 58 : Laplace Transform of Special Functions (Cont.) Video
  59. Lecture 59 : Applications of Laplace Transform Video
  60. Lecture 60 : Applications of Laplace Transform (Cont.) Video
  61. Live Session 22-02-2021 Video
  62. Live Session 13-03-2021 Video
  63. Live Session 10-04-2021 Video
  64. Live Session 02-03-2020 Video
  65. Live Session 26-03-2020 Video
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  67. Live Session 03-12-2022 Video
  68. Live Session 04-06-2022 Video
  69. Live Session 28-02-2024 Video
  70. Live Session 18-03-2024 Video
  71. Live Session 17-04-2024 Video
  72. Live Session 18-02-2025 Video
  73. Live Session 19-03-2025 Video
  74. Live Session 09-04-2025 Video