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Course12210401732 lectures

Mathematics I

Prof. Swagato K. Ray, Prof. Shobha Madan and Dr. P. Shunmugaraj · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Mathematics I

  1. Real Number Video
  2. Sequences I Video
  3. Sequences II Video
  4. Sequences III Video
  5. Continuous Function Video
  6. Properties of Continuous Function Video
  7. Uniform Continuity Video
  8. Differentiable Functions Video
  9. Mean Value Theorem Video
  10. Maxima - Minima Video
  11. Taylor's Theorem Video
  12. Curve Sketching Video
  13. Infinite Series I Video
  14. Infinite Series II Video
  15. Tests of Convergence Video
  16. Power Series Video
  17. Riemann Integral Video
  18. Riemann Integrable Functions Video
  19. Applications of Riemann Integral Video
  20. Length of a curve Video
  21. Line Integrals Video
  22. Functions of Several Variables Video
  23. Differentiation Video
  24. Derivatives Video
  25. Mean Value Theorem Video
  26. Maxima Minima Video
  27. Method of Lagrange Multipliers Video
  28. Multiple Integrals Video
  29. Surface Integrals Video
  30. Green's Theorem Video
  31. Stokes Theorem Video
  32. Gauss Divergence Theorem Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Basic courses-Sem 1 and 2
Taught by
Prof. Swagato K. Ray, Prof. Shobha Madan, Dr. P. Shunmugaraj
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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