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

Speakers and Syllabus

  1. Linear Algebra and Group Theory
    1. We will cover most of the material found in Chapters 6,7,8 and 9 found in Michael Artin’s Algebra, Pearson, 1991
    2. Speakers:
      1. Dr Pradipto Banerjee PB (Associate Professor, IIT Hyderabad) for Module 1
      2. Prof Sudhir R. Ghorpade SRG (Professor, IIT Bombay) for Module 2
      3. Dr Neeraj Kumar NJ (Associate Professor, IIT Hyderabad) for Module 3
      4. Dr R Venkadesh RV (Associate Professor, IISc) for Module 4.
    3. Course Associates:
      1. Amit Kundu(AK)(IITH), Abhay Jayarajan(AJ)(IITH), Tiasa Dutta(TD)(IITH), Chitra Venugopal(CV) (IITH), Shashi Ranjan Sinha(SRS) (IITH), Sutapa Dey(SD) (IITH), Samiran Nayek (SNa) (IIT T), Dr G Krishna Teja (GKT) (ISI Bangalore).
    4. References
      1. M. Artin:Algebra, 2nd Edition, Prentice Hall of India, 2011.
      2. S. Lang: Algebra, Revised 3rd Edition, Springer.
      3. N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover, 2011.
  2. Complex Analysis
    1. We will cover most of the material found in Chapters 2,3 and 4 of Stein and Shakarchi’s book Complex Analysis, Princeton Lectures in Analysis-II, 2003.
    2. Speakers:
      1. Prof Venku Naidu VN (Professor IIT Hyderabad) for module 1
      2. Prof G Ramesh GR (Professor IIT Hyderabad) for Module 2
      3. Dr Deepak Kumar Pradhan DKP(Assistant Professor IIT Hyderabad) for module 3
      4. Prof Suman Kumar SK (University of Hyderabad) for Module 4
    3. Course Associates:
      1. Mohan P(PM) (IIT H), Akshay R (AR) (IIT H), Bhumi Amin(BA) (IIT H), Pushpendu Nag(PN)(IIT H), R Aakash(RA) (IIT H), Ankush Sonu Ghartan(ASG) (IIT H), Aditi Chattaraj (AC), Dr Karthick Babu (KB) (ISI Kolkata).
    4. References
      1. Elias Stein and Rami Shakarchi: Complex Analysis, Princeton Lectures in Analysis-II, 2003i.
      2. Lars Ahlfors: Complex Analysis, McGraw-Hill Education, 3rd Edition, Jan 1979.
      3. W. Rudin: Real and Complex Analysis, 3rd Edition, Tata McGraw-Hill Higher Education, New Delhi, 1987.
  3. Topology I
    1. We will cover most of the material found in Chapters 1-7 of Simmons book listed below in the references and Quotient Spaces from Chapter 4 of Armstrong’s book listed below.
    2. Speakers:
      1. Dr Rajesh Kannan RK (Assistant Professor, IIT Hyderabad) for module 1
      2. Dr Archana Morye (Assistant Professor, University of Hyderabad) for module 2
      3. Prof Narasimha Kumar NK (Professor, IIT Hyderabad) for module 3
      4. Prof D Sukumar DS (Professor, IIT Hyderabad) for module 4
    3. Course Associates:
      1. Rahul Roy(RR)(IITH), Sonali Priyadarsini (SP) (ISI Kolkata),Mohana Rahul N(NMR) (IITH), Dr Arijit Mukherjee (AMu)(IITM), G Sugirtha Gayathri(GSG) (IITH), Sourav Nayak(SN)(IITH), K Hariram (KH) (IISc), Dr. Gobindanath Sau (GS)(ISI Bangalore).
    4. 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, Prentice-Hall of India, New Delhi, 1987.

Time Table

 Week 1

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
2 Dec GT1 PB T CA1 VN L TGT1 T TCA1
3 Dec T1 RK T GT2 PB L TT1 T TGT2
4 Dec CA2 VN T T2 RK L TCA2 T TT2
5 Dec GT3 PB T CA3 VN L TGT3 T TCA3
6 Dec T3 RK T GT4 PB L TT3 T TGT4
7 Dec CA4 VN T T4 RK L TCA4 T TT4

 Week 2

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
9 Dec GT5 SRG T CA5 GR L TGT5 T TCA5
10 Dec T5 AM T GT6 SRG L TT5 T TGT6
11 Dec CA6 GR T T6 AM L TCA6 T TT6
12 Dec GT7 SRG T CA7 GR L TGT7 T TCA7
13 Dec T7 AM T GT8 SRG L TT7 T TGT8
14 Dec CA8 GR T T8 AM L TCA8 T TT8

 Week 3

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
16 Dec GT9 NJ T CA9 DKP L TGT9 T TCA9
17 Dec T9 NK T GT10 NJ L TT9 T TGT10
18 Dec CA10 DKP T T10 NK L TCA10 T TT10
19 Dec GT11 NJ T CA11 DKP L TGT11 T TCA11
20 Dec T11 NK T GT12 NJ L TT11 T TGT12
21 Dec CA12 DKP T T12 NK L TCA12 T TT12

 Week 4

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
23 Dec GT13 RV T CA13 SK L TGT13 T TCA13
24 Dec T13 DS T GT14 RV L TT13 T TGT14
25 Dec CA14 SK T T14 DS L TCA14 T TT14
26 Dec GT15 RV T CA15 SK L TGT15 T TCA15
27 Dec T15 DS T GT16 RV L TT15 T TGT16
28 Dec CA16 SK T T16 DS L TCA16 T TT16

 

• GTn : nth lecture in Group theory
• TGTn: nth tutorial in Group theory
• CAn : nth lecture in Real analysis
• TCAn: nth tutorial in Real analysis
• Tn :nth lecture in Topology
• TTn: nth tutorial in Topology
• T : Tea
• L : Lunch
• TGT: Research Scholars from IIT Hyderabad, University of Hyderabad.
• TGT: TGT1 - TGT 4: PB, AK and SRS. TGT5 - TGT 8: SRG, SD, AJ. TGT9 - TGT 12:NJ, TD, CV. TGT13 - TGT 16: RV, SNa, GKT.
• TCA: TCA1 - TCA 4: VN, PM, AR. TCA5 - TCA 8: GR, BA, AC. TCA9-12: DKP, RA, PN TCA13-16: SK, ASG, KB.
• TT: TT1 - TT4 - RK, RR, SP. TT 5- TT8 - AM, AMu, NMR. TT 9 - TT 13 - NK, GSG,SN.TT 14- TT 18 - DS, GS, KH.

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