MA211 Lecture notes

Ananda Dasgupta



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  1. Complex numbers : History 21/08/2008
  2. Complex numbers : Algebra and Geometry 22/08/2008
  3. Complex numbers : Topology 28/08/2008
  4. Complex Functions 29/08/2008
  5. Complex Functions contd. 4/09/2008 and 5/09/2008
    6. You can also watch this nice flash video illustrating the Mobius transformsations as well as the role of the Riemann sphere in exploring them.
  6. Complex Functions : Limits and Continuity 11/09/2008
  7. Complex Functions : Differentiation 12/09/2008
  8. Holomorphic Functions 18/09/2008
  9. The Geometry of Differentiation 19/09/2008
  10. Harmonic Functions 19/09/2008
  11. Complex sequences 25/09/2008
    12. Solution to the midsem examination paper26/09/2008
  12. Complex sequences contd. 26/09/2008
  13. Sequences contd. - real sequences : a recapitulation 17/10/2008
  14. Sequences of functions 23/10/2008
  15. Complex Series 24/10/2008
  16. Power Series 30/10/2008
  17. Power Series contd.31/10/2008
  18. Taylor and Laurent Series 7/11/2008
  19. Analyzing ODEs in the complex plane7/11/2008
  20. Analyzing ODEs in the complex plane contd.8/11/2008
  21. Frobenius method for linear ODEs 14/11/2008
  22. Complex integration 20/11/2008
  23. Complex integration - Cauchy's theorems21/11/2008
  24. Complex integration - Applications of Residue theorem27/11/2008 and 18/11/2008
  25. Complex integration - Further Applications of Residue theorem4/12/2008 and 5/12/2008