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Course12210703638 lectures

Mathematics II

Dr. Tanuja Srivastava, Prof. H.G. Sharma and Dr. Sunita Gakkhar · IIT Roorkee

Start with lecture 1 At NPTEL

Lectures

Module1

  1. Complex Integration Video
  2. Contour Integration Video
  3. Cauchy's Integral Theorem Video
  4. Cauchy's Integral Formula Video
  5. Application of Cauchy Integral Formula Video
  6. Zeros, Singularities and Poles Video
  7. Residue Integration Method Video
  8. Residue Theorem Video
  9. Evaluation of Real Integrals Video
  10. Evaluation of Real Improper Integrals-1 Video
  11. Evaluation of Real Improper Integrals-2 Video
  12. Evaluation of Real Improper Integrals-3 Video
  13. Evaluation of Real Improper Integrals-4 Video
  14. Evaluation of Real Integrals-Revision Video

Module2

  1. Matrix Algebra Part - 1 Video
  2. Matrix Algebra Part - 2 Video
  3. Determinants Part - 1 Video
  4. Determinants Part - 2 Video
  5. Solution of System Equation Video
  6. Linear Algebra Part-1 Video
  7. Linear Algebra part - 2 Video
  8. Linear Algebra Part - 3 Video
  9. Linear Algebra Part - 4 Video
  10. Inner Product Video
  11. Linear Transformation Part - 1 Video
  12. Linear Transformation Part - 2 Video
  13. Eigenvalues Eigenvectors Part - 1 Video
  14. Eigenvalues Eigenvectors Part - 2 Video
  15. Quadratic Forms Video
  16. Diagonalization Part - 1 Video
  17. Diagonalization Part - 2 Video
  18. Solution of System of Linear Equation Video
  19. Functions of Complex Variables Part - 1 Video
  20. Functions of Complex Variables Part - 2 Video
  21. Taylor Series Video
  22. Laurent Series Video
  23. Rank of a Matrix Video

Module3

  1. Complex Numbers Their Geometrical Representation Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Basic courses-Sem 1 and 2
Taught by
Dr. Tanuja Srivastava, Prof. H.G. Sharma, Dr. Sunita Gakkhar
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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