Learn · Basic Real Analysis

Lecture 31 of 72Week 6

Lecture 31 : Differentiability - Part I

Prof. I. K. Rana · IIT Bombay

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From
Basic Real Analysis, IIT Bombay (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures

  1. Lecture 1 : Real Numbers and Sequences - Part I Video
  2. Lecture 2 : Real Numbers and Sequences - Part II Video
  3. Lecture 3 : Real Numbers and Sequences - Part III Video
  4. Lecture 4 : Convergence of Sequences - Part I Video
  5. Lecture 5 : Convergence of Sequences - Part II Video
  6. Lecture 6 : Convergence of Sequences - Part III Video
  7. Lecture 7 : The LUB Property and Consequences - Part I Video
  8. Lecture 8 : The LUB Property and Consequences - Part II Video
  9. Lecture 9 : The LUB Property and Consequences - Part III Video
  10. Lecture 10 : Topology of Real Numbers: Closed Sets - Part I Video
  11. Lecture 11 : Topology of Real Numbers: Closed Sets - Part II Video
  12. Lecture 12 : Topology of Real Numbers: Closed Sets - Part III Video
  13. Lecture 13 : Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part I Video
  14. Lecture 14 : Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part II Video
  15. Lecture 15 : Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part III Video
  16. Lecture 16 : Topology of Real Numbers: Compact Sets and Connected Sets - Part I Video
  17. Lecture 17 : Topology of Real Numbers: Compact Sets and Connected Sets - Part II Video
  18. Lecture 18 : Topology of Real Numbers: Compact Sets and Connected Sets - Part III Video
  19. Lecture 19 : Topology of Real Numbers: Connected Sets; Limits and Continuity - Part I Video
  20. Lecture 20 : Topology of Real Numbers: Connected Sets; Limits and Continuity - Part II Video
  21. Lecture 21 : Topology of Real Numbers: Connected Sets; Limits and Continuity - Part III Video
  22. Lecture 22 : Continuity and Uniform continuity - Part I Video
  23. Lecture 23 : Continuity and Uniform continuity - Part II Video
  24. Lecture 24 : Continuity and Uniform continuity - Part III Video
  25. Lecture 25 : Uniform continuity and connected sets - Part I Video
  26. Lecture 26 : Uniform continuity and connected sets - Part II Video
  27. Lecture 27 : Uniform continuity and connected sets - Part III Video
  28. Lecture 28 : Connected sets and continuity - Part I Video
  29. Lecture 29 : Connected sets and continuity - Part II Video
  30. Lecture 30 : Connected sets and continuity - Part III Video
  31. Lecture 31 : Differentiability - Part I Video
  32. Lecture 32 : Differentiability - Part II Video
  33. Lecture 33 : Differentiability - Part III Video
  34. Lecture 34 : Differentiability - Part IV Video
  35. Lecture 35 : Differentiability - Part V Video
  36. Lecture 36 : Differentiability - Part VI Video
  37. Lecture 37 : Riemann Integration - Part I Video
  38. Lecture 38 : Riemann Integration - Part II Video
  39. Lecture 39 : Riemann Integration - Part III Video
  40. Lecture 40 : Riemann Integration - Part IV Video
  41. Lecture 41 : Riemann Integration - Part V Video
  42. Lecture 42 : Riemann Integration - Part VI Video
  43. Lecture 43 : Riemann Sum and Riemann Integrals - Part I Video
  44. Lecture 44 : Riemann Sum and Riemann Integrals - Part II Video
  45. Lecture 45 : Riemann Sum and Riemann Integrals - Part III Video
  46. Lecture 46 : Optimization in several variables - Part I Video
  47. Lecture 47 : Optimization in several variables - Part II Video
  48. Lecture 48 : Optimization in several variables - Part III Video
  49. Lecture 49 : Integration in several variables - Part I Video
  50. Lecture 50 : Integration in several variables - Part II Video
  51. Lecture 51 : Integration in several variables - Part III Video
  52. Lecture 52 : Change of variables - Part I Video
  53. Lecture 53 : Change of variables - Part II Video
  54. Lecture 54 : Change of variables - Part III Video
  55. Lecture 55 : Change of variables - Part IV Video
  56. Lecture 56 : Metric Spaces - Part I Video
  57. Lecture 57 : Metric Spaces - Part II Video
  58. Lecture 58 : Metric Spaces - Part III Video
  59. Lecture 59 : L^p Metrics - Part I Video
  60. Lecture 60 : L^p Metrics - Part II Video
  61. Lecture 61 : L^p Metrics - Part III Video
  62. Lecture 62 : Pointwise and Uniform convergence - Part I Video
  63. Lecture 63 : Pointwise and Uniform convergence - Part II Video
  64. Lecture 64 : Pointwise and Uniform convergence - Part III Video
  65. Lecture 65 : Pointwise and Uniform convergence - Part IV Video
  66. Lecture 66 : Series of Numbers - Part I Video
  67. Lecture 67 : Series of Numbers - Part II Video
  68. Lecture 68 : Series of Numbers - Part III Video
  69. Lecture 69 : Alternating Series and Power Series Video
  70. Live Session 23-02-2021 Video
  71. Live Session 26-03-2021 Video
  72. Live Session 06-03-2020 Video