AFS-I - Annual Foundation School - I (2025) Mepco
Speakers and Syllabus
1) Linear Algebra and Group Theory: We will cover most of the material found in Chapters 6, 7, 8, and 9 in Michael Artin’s book Algebra, Pearson, 1991.
- Speakers:
- Prof. Clare D’Cruz, Professor, Chennai Mathematical Institute, for Module 1
- Prof. K. N. Raghavan, Professor of Mathematics, Krea University, Professor retired, Institute of Mathematical Sciences, for Module 2
- Prof. Jugal K. Verma, Professor retired, IIT Bombay, for Module 3
- Dr. K Senthil Kumar, Reader - F, National Institute of Science Education and Research, Bhubaneswar, for Module 4.
- Course Associates:
- Dr.Arijit Mukherjee (IIT Madras), Dr.Arindam Sutradhar (IIT Madras), Dr.Mrityunjoy Charan (IMSc, Chennai).
- References
- Michael Artin: Algebra, first edition, Prentice Hall of India, 1999.
- S. Lang: Algebra, Revised 3rd Edition, Springer.
- N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover,2011.
2) Complex Analysis :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.
- Speakers:
- Dr. Krishna Hanumanthu, Professor, Chennai Mathematical Institute, for Module 1
- Dr. Jaikrishnan, Assistant Professor, Indian Institute of Technology Palakkad, for Module 2
- Dr. P. Muthukumar, Assistant Professor, Indian Institute of Technology Kanpur, for Module 3 and 4
- Course Associates:
- Dr.Soumen Pal (IIT Madras), Dr.Shankey Kumar (IIT Madras), Dr.Sambhunath Sen (IIT Madras).
- References
- Elias Stein and Rami Shakarchi: Complex Analysis, Princeton Lectures in Analysis-II, 2003.
- W. Rudin: Real and Complex Analysis, 3rd Edition, Tata McGraw-Hill Higher Education, New Delhi, 1987.
3) Topology : We will cover most of the material found in 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:
- Dr. B. Subhash, Assistant Professor, Indian Institute of Science Education and Research,Tirupati, for Module 1 and 2
- Dr. Ramesh Kasilingam, Assistant Professor, Indian Institute of Technology Madras, for Module 3 and 4
- Course Associates:
- Dr.Aloke Kr. Ghosh (IIT Madras), Ankur Sarkar (IMSc, Chennai), Souvik Mandal (IIT Madras)
- References
- G.F. Simmons: Introduction to Topology and Modern Analysis, McGraw-Hill, 1983.
- M. A. Armstrong: Basic Topology, Springer.
- J. R. Munkres: Topology, A First Course, PHI, New Delhi, 1987.
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 |
| 01/12/2025 | AGL1 CDC | T | ANL1 KH | L | AGT1 | T | ANT1 |
| 02/12/2025 | TPL1 BS | T | AGL2 CDC | L | TPT1 | T | AGT2 |
| 03/12/2025 | ANL2 KH | T | TPL2 BS | L | ANT2 | T | TPT2 |
| 04/12/2025 | AGL3 CDC | T | ANL3 KH | L | AGT3 | T | ANT3 |
| 05/12/2025 | TPL3 BS | T | AGL4 CDC | L | TPT3 | T | AGT4 |
| 06/12/2025 | ANL4 KH | 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 |
| 08/12/2025 | AGL5 KNR | T | ANL5 JK | L | AGT5 | T | ANT5 |
| 09/12/2025 | TPL5 BS | T | AGL6 KNR | L | TPT5 | T | AGT6 |
| 10/12/2025 | AGL7 KNR | T | ANL7 JK | L | AGT7 | T | ANT7 |
| 11/12/2025 | TPL7 BS | T | AGL8 KNR | L | TPT7 | T | AGT8 |
| 12/12/2025 | ANL6 JK | T | TPL6 BS | L | ANT6 | T | TPT6 |
| 13/12/2025 | ANL8 JK | T | TPL8 BS | 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 |
| 15/12/2025 | AGL9 JKV | T | ANL9 PMK | L | AGT9 | T | ANT9 |
| 16/12/2025 | TPL9 RK | T | AGL10 JKV | L | TPT9 | T | AGT10 |
| 17/12/2025 | ANL10 PMK | T | TPL10 RK | L | ANT10 | T | TPT10 |
| 18/12/2025 | AGL11 JKV | T | ANL11 PMK | L | AGT11 | T | ANT11 |
| 19/12/2025 | ANL12 PMK | T | TPL12 RK | L | ANT12 | T | TPT12 |
| 20/12/2025 | TPL12 RK | T | AGL12 JKV | 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 |
| 22/12/2025 | AGL13 KSK | T | ANL13 PMK | L | AGT13 | T | ANT13 |
| 23/12/2025 | TPL13 RK | T | AGL14 KSK | L | TPT13 | T | AGT14 |
| 24/12/2025 | ANL14 PMK | T | TPL14 RK | L | ANT14 | T | TPT14 |
| 25/12/2025 | AGL15 KSK | T | ANL15 PMK | L | AGT15 | T | ANT15 |
| 26/12/2025 | TPL15 RK | T | AGL16 KSK | L | TPT15 | T | AGT16 |
| 27/12/2025 | ANL16 PMK | T | TPL16 RK | L | ANT16 | T | TPT16 |
• AGLn : nth lecture in Algebra
• AGTn: nth tutorial in Algebra
• ANLn : nth lecture in Analysis
• ANTn: nth tutorial in Analysis
• TPLn : nth lecture in Topology
• TPTn: nth tutorial in Topology
• T : Tea
• L : Lunch
• CDC : Clare D’Cruz
• KH : Krishna Hanumanthu
• BS : B. Subhash
• KNR : K. N. Raghavan
• JK : Jaikrishnan
• JKV : Jugal K. Verma
• PMK : P. Muthukumar
• RK : Ramesh Kasilingam
• KSK : K Senthil Kumar
• AGT: Postdoctoral Fellow from IIT Madras.
• ANT: Postdoctoral Fellow from IIT Madras.
• TPT: Postdoctoral and Research Scholars from IIT Madras.