AFS-II - Annual Foundation School - II (2023 MEPCO)

Speakers and Syllabus

  1. Algebra II (Rings and Modules):
    1. We will cover most of the material found in Chapters 10, 11, 12 of the book: Michael Artin, Algebra, first edition, Prentice Hall of India, 1999.
    2. ˆSpeakers:
      1. Sandip Singh (IIT Mumbai), Girja Shanker Tripathi (IISER Tirupati), Viji Thomas (IISER Trivandrum), KN Raghavan (IMSc).
    3. ˆCourse Associates:
      1. Arun Kumar (IISER Tirupati), Gargi Lather (IIT Madras), Yajushi Srivastava (IISER Tirupati), Aarthy (IISER Tirupati).
    4. References:
      1. Michael Artin: Algebra, first edition, Prentice Hall of India, 1999.
      2. S. Lang: Algebra, Revised 3rd Edition, Springer.
      3. N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover,2011.
  2. Analysis II (Measure and Integration):
    1. We will cover most of the material found in Chapters 1, 2, 3 of the book: Walter Rudin, Real and Complex Analysis, 3rd edition, McGraw-Hill, 1974.
    2. ˆSpeakers:
      1. KR Parthasarathy (ISI Bangalore), R. Lakshmi Lavanya (IISER Tirupati), Senthil Raani (IISER Berhampur)
    3. ˆCourse Associates:
      1. Nishta Garg (IISER Bhopal), Sureshkumar M (IISER Bhopal).
    4. References:
      1. Walter Rudin: Real and Complex Analysis, 3rd edition, McGraw-Hill, 1974.
      2. Elias Stein and Rami Shakarchi: Complex Analysis, Princeton Lectures in Analysis-II, 2003i.
      3. Lars Ahlfors: Complex Analysis, McGraw-Hill Education, 3rd Edition, Jan 1979.
  3. Topology II (Curves and Surfaces):
    1. We will cover most of the material found in Chapters 1, 2, 3, 4, 5, 6, 7, 8, 10, 11 of the book: Andrew Pressley, Elementary Differential Geometry, Springer, 2001.
  4. ˆSpeakers:
    1. B Subhash (IISER Tirupati), Prathmesh Turga (Krea University), Soumya Dey (Krea University), Soumen Sarkar (IIT Madras).
  5. ˆCourse Associates:
    1. Sayoojya Prakash (IISER Bhopal), Bidhan Paul (IIT Madras), Karl (IIT Madras).
  6. References
    1. Andrew Pressley: Elementary Differential Geometry, Prentice-Hall of India, Springer, 2001.
    2. G.F. Simmons: Introduction to Topology and Modern Analysis, McGraw-Hill, 1983.
    3. J. R. Munkres: Topology, A First Course, Prentice-Hall of India, New Delhi, 1987.
    4. M. A. Armstrong: Basic Topology, Springer.

Time Table

 

Week - One
Date 9.30-11.00 11.00-11.30 11.30-1.00 1.00-2.30 2.30-3.30 3.30-4.00 4.00-5.00
May 22 AGL1 SKS T ANL1 KRP L AGT1 T ANT1
May 23 TPL1 BS T AGL2 SKS L TPT1 T AGT2
May 24 ANL2 KRP T TPL2 BS L ANT2 T TPT2
May 25 AGL3 SKS T ANL3 KRP L AGT3 T ANT3
May 26 TPL3 BS T AGL4 SKS L TPT3 T AGT4
May 27 ANL4 KRP T TPL4 BS L ANT4 T TPT4
   Week - Two 
Date 9.30-11.00 11.00-11.30 11.30-1.00 1.00-2.30 2.30-3.30 3.30-4.00 4.00-5.00
May 29 AGL5 GST T ANL5 RLL L AGT5 T ANT5
May 30 TPL5 SD T AGL6 GST L TPT5 T AGT6
May 31 AGL7 GST T ANL6 RLL L AGT7 T ANT6
June 1 TPL6 SD T AGL8 GST L TPT6 T AGT8
June 2 ANL7 RLL T TPL7 SD L ANT7 T TPT7
June 3 ANL8 RLL T TPL8 HAG L ANT8 T TPT8
   Week - Three
Date 9.30-11.00 11.00-11.30 11.30-1.00 1.00-2.30 2.30-3.30 3.30-4.00 4.00-5.00
June 5 AGL9 VT T ANL9 RLL L AGT9 T ANT9
June 6 TPL9 PT T AGL10 VT L TPT9 T AGT10
June 7 ANL10 RLL T TPL10 PT L ANT10 T TPT10
June 8 AGL11 VT T ANL11 RLL L AGT11 T ANT11
June 9 ANL12 RLL T TPL11 PT L ANT12 T TPT11
June 10 TPL12 PT T AGL12 VT L TPT11 T AGT12
Week - Four
Date 9.30-11.00 11.00-11.30 11.30-1.00 1.00-2.30  2.30-3.30  3.30-4.00  4.00-5.00
June 12 AGL13 KNR T ANL13 RS L AGT1 3 T ANT13
June 13 TPL13 SS T AGL14 KN R L TPT1 3 T AGT14
June 14 ANL14 RS T TPL14 SS L ANT1 4 T TPT14
June 15 AGL15 KNR T ANL15 RS L AGT1 5 T ANT15
June 16 TPL15 SS T AGL16 KN R L TPT1 5 T AGT16
June 17 ANL16 RS T TPL16 SS L ANT1 6 T TPT16
  •  AGLn: nth lecture in Algebra
  • ˆ AGTn: nth tutorial in Algebra
  • ˆ ANLn : nth lecture in Analysis
  • ˆ ANTn: nth tutorial in Analysis
  • ˆ TPLn : nth lecture in Topology
  • ˆ TPTn: nth tutorial in Topology
  • ˆ T : Tea
  • ˆ L : Lunch
  • ˆ Speakers AGL: SKS,  GST, VT,  KNR
  • ˆ Speakers ANL: KRP, RLL, RS
  • ˆ Speakers TPL: BS,  SD, PT,  SS
  • ˆ AGT: Research Scholars from IIT Madras and IISER Tirupati.
  • ˆ ANT: Research Scholars from IISER Bhopal.
  • ˆ TPT: Research Scholars from IISER Bhopal and IIT Madras.

 

File Attachments: