AFS-I - Annual Foundation School - I (2024) IIT Jodhpur

Speakers and Syllabus

  • Linear Algebra and Group Theory:

Syllabus: ‬‭We will cover most of the material found‬‭in Chapters 6,7,8 and 9 in‬ Michael Artin’s book Algebra, Pearson, 1991.
Speakers:‬

  1. Dr. Viji Z. Thomas, Associate Professor, IISER Thiruvananthapuram‬
  2. Prof. Anupam Singh, Professor, IISER Pune‬
  3. ‭Dr. Dilpreet Kaur, Associate Professor, IIT Jodhpur‬
  4. ‭Prof. Amit Kulshrestha, IISER Mohali‬

Course Associates:‬ Lovelesh Sharma,‬‭Ratnesh Kumar Singh, Mrityunjoy Saha, Pushpendra Singh,‬Harish Kishnani.‬

References:‬

  1. ‭M. Artin: Algebra, 2nd Edition, Prentice Hall of India, 2011.‬
  2. ‭S. Lang: Algebra, Revised 3rd Edition, Springer.‬
  • Complex Analysis:‬

Syllabus:‬‭ We will cover most of the material found‬‭in Chapters 2,3 and 4 of Stein‬ and Shakarchi’s book Complex Analysis, Princeton Lectures in Analysis- II, 2003.‬
‭‭Speakers:‬

  1. ‭Dr. Tuhina Mukherjee, Assistant Professor, IIT Jodhpur‬
  2. ‭‭Dr. Sukhendu Ghosh, Associate Professor, IIT Jodhpur‬
  3. ‭Dr. Kirankumar R. Hiremath, Associate Professor, IIT Jodhpur‬
  4. ‭Prof. G.K. Srinivasan, Professor, IIT Bombay.‬

‭‭Course Associates:Ratnesh Kumar Singh, Mrityunjoy Saha,‬‭Ruby,‬‭Gurubachan,‬‭Subham Garg, Sushmita‬ Yadav, Ankit Chauhan‬
‭References:‬

  1. ‭Elias Stein and Rami Shakarchi: Complex Analysis, Princeton Lectures in‬ Analysis-II, 2003.‬
  2. ‭‭W. Rudin: Real and Complex Analysis, 3rd Edition, Tata McGraw-Hill Higher‬ Education, New Delhi, 1987.
  • Topology:‬

‭Syllabus:‬‭We will cover most of the material found‬‭in Chapters 1-7 of Simmons's‬ book listed below in the references and Quotient Spaces from Chapter 4 of‬ Armstrong’s book listed below.‬
‭Speakers:‬

  1. ‭Dr. V.V.M.S. Chandramouli, Associate Professor, IIT Jodhpur‬
  2. ‭Dr. Puneet Sharma, Associate Professor, IIT Jodhpur‬
  3. ‭Dr. P. Veeramani, (Retd. ) Professor, IIT Madras‬
  4. ‭Dr. Rekha Santhanam, Associate Professor, IIT Bombay.‬

‭Course Associates:‬ Ruby,‬‭Gurubachan, Arnab Kayal, Sougata Mandal, Darshana,‬‭Sushmita Yadav.‬
‭
References:‬

  1. ‭G.F. Simmons: Introduction to Topology and Modern Analysis, McGraw-Hill,‬1983.‬
  2. ‭‭M. A. Armstrong: Basic Topology, Springer.‬
  3. ‭J. R. Munkres: Topology, A First Course, PHI, New Delhi, 1987.‬

Time Table

 Week 1

‭Date‬ ‭9:30-11:00‬ ‭11:00-11:30‬ ‭11:30-13:00‬ ‭13:00-14:30‬ ‭14:30-16:30‬ ‭16:30-17:00‬
‭02/12/2024‬ ‭Algebra-L1-VT‬   ‭ T ‬‭E‬ ‭A‬   ‭Analysis-L1-TM‬  ‭L‬ U ‭ ‬ ‭N‬‭C‬ ‭H‬    Analysis -T1&2-‬ ‭RKS & MS‬   ‭T ‬E A
‭03/12/2024‬ ‭Topology-L1-VV‬ ‭Algebra-L2-VT‬ ‭Algebra -T1&2-‬ ‭LS & RKS‬
‭04/12/2024‬ ‭Analysis-L2-TM‬ ‭Topology-L2-VV‬ Topology -T1&2‬ ‭- R & G‬
‭05/12/2024‬ ‭Algebra-L3-VT‬ ‭Analysis-L3-TM‬ ‭Analysis -T3&4-‬ ‭RKS & MS‬
‭06/12/2024‬ ‭Topology-L3-VV‬ ‭Algebra-L4-VT‬ A‭lgebra - T3&4-‬ ‭LS & RKS‬
‭07/12/2024‬ ‭Analysis-L4-TM‬ ‭Topology-L4-VV‬ T‭opology -T3&4‬ ‭- R & G‬

 

 Week 2

‭Date‬ ‭9:30-11:00‬ ‭11:00-11:30‬ ‭11:30-13:00‬ ‭13:00-14:30‬ ‭14:30-16:30‬ ‭16:30-17:00‬
‭09/12/2024‬ Analysis-L5‬ ‭-SG‬   ‭ T ‬ ‭E‬‭A‬   ‭Topology-L5-‬ ‭PS‬   ‭L‬ U ‭ ‬ ‭N‬ ‭C‬‭H‬   ‭Topology-T5&6‬ ‭- AK & SM‬   ‭T‬ E ‭ ‬‭A‬  
‭10/12/2024‬ Algebra-L5-‬ ‭AS‬ ‭Analysis-L6-‬ ‭SG‬ Analysis-T5&6-‬ ‭R & G‬
‭11/12/2024‬ ‭Topology-L6‬ ‭-PS‬ A‭lgebra-L6-A‬ ‭S‬ ‭Algebra-T5&6-‬ ‭LS & MS‬
‭12/12/2024‬ Analysis-L7‬ ‭-SG‬ Topology-L7-‬ ‭PS‬ ‭Topology-T7&8‬ ‭- AK & SM‬
‭13/12/2024‬ ‭Algebra-L7-‬ ‭AS‬ ‭Analysis-L8-‬ ‭SG‬ ‭Analysis-T7&8-‬ ‭R & G‬
‭14/12/2024‬ ‭Topology-L8‬ ‭-PS‬ ‭Algebra-L8-A‬ ‭S‬ ‭Algebra-T7&8-‬ ‭LS & MS‬

  Week 3

‭Date‬ ‭9:30-11:00‬ ‭11:00-11:30‬ ‭11:30-13:00‬ ‭13:00-14:30‬ ‭14:30-16:30‬ ‬ ‭16:30-17:00
‭16/12/2024‬ ‭Topology-L9-‬ ‭PV‬  ‭T‬ ‭ E ‬ ‭A‬     ‭Algebra-L9-‬ ‭DK‬  ‭L‬ ‭ U ‬ ‭N‬‭C‬ ‭H‬    ‭Algebra-T9&10-‬ ‭PS & HK‬ TEA
‭17/12/2024‬ Analysis-L9-K‬ ‭H‬ ‭Topology-L10‬ ‭-PV‬ ‭Topology-T9&10-‬ ‭SM & D‬ ‭
‭18/12/2024‬ A‭lgebra-L10-‬ ‭DK‬ Analysis-L10‬ ‭-KH‬ ‭A‬nalysis-T9&10-‬ ‭AC & SG‬
‭19/12/2024‬ Topology-L11‬ ‭-PV‬ Algebra-L11-‬ ‭DK‬ A‭lgebra-T11&12‬ ‭- PS & HK‬
‭20/12/2024‬ ‭Analysis-L11-‬ ‭KH‬ ‭Topology-L12‬ ‭-PV‬ ‭Topology-T11&1‬ ‭2- SM & D‬
‭21/12/2024‬ ‭Algebra-L12-‬ ‭DK‬ ‭Analysis-L12‬ ‭-KH‬ ‭Analysis-T11&12‬ ‭- AC & SG‬

 Week 4

‭Date‬ ‭9:30-11:00‬ ‭11:00-11:30‬ ‭11:30-13:00‬ ‭13:00-14:30‬ ‭14:30-16:30‬ ‭16:30-17:00‬
‭23/12/2024‬ ‭Algebra-L13-‬ ‭AK‬   T ‭ ‬ ‭E‬‭A‬   Analysis-L13-‬ ‭GS‬  ‭L‬ ‭ U ‬ ‭N‬‭C‬ ‭H‬    Analysis-T13&14-‬ ‭SY & SG‬   ‭T‬ E ‭ ‬‭A‬  
‭24/12/2024‬ Topology-L13‬ ‭-RS‬ ‭Algebra-L14-‬ ‭AK‬ Algebra-T3&14-‬ ‭PS & HK‬
‭25/12/2024‬ ‭Analysis-L14‬ ‭-GS‬ Topology-L14‬ ‭-RS‬ Topology-T13&14‬ ‭- SY & D‬
‭26/12/2024‬ ‭Algebra-L15-‬ ‭AK‬ ‭Analysis-L15-‬ ‭GS‬ Analysis-T15&16-‬ ‭SY & SG‬
‭27/12/2024‬ Topology-L15‬ ‭-RS‬ Algebra-L16-‬ ‭AK‬ ‭Algebra-T15&16-‬ ‭PS & HK‬
‭28/12/2024‬ Analysis-L16‬ ‭-GS‬ Topology-L16‬ ‭-RS‬ Topology-T15&16‬ ‭- SY & D‬

 

 

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