AFS-II - Annual Foundation School - II (2024) GITAM University
Speakers and Syllabus
Applicants for AFS-II should already be familiar with the syllabus of the AFS-I schools, which is available at :
https://www.atmschools.org/sites/default/files/syllabus_AFS_programmes_2016.pdf
Syllabus and Speakers
• Algebra II: Rings and Modules [Artin] Chapters 11,12,13,14.
• Analysis II: Measure and Integration [Rudin] Chapters 1,2,3.
• Topology II: Elementary Differential Geometry [Pressley] Chapters 1-8, 10, 11 (Chapter 9 on Minimal Surfaces may be left out).
References
- [Artin] Michael Artin, Algebra, 2nd edition, Prentice-Hall, India, 2010.
- Jacobson, N.: Basic Algebra I and II, W. H. Freeman and Company, USA, 1974, 1980.–Indian Editions Published by Hindustan Publishing Corporation, Delhi, 1984.
- [Rudin] W. Rudin, Real and Complex Analysis, Mc-Graw-Hill 3rd ed, 1987.
- Royden, R. L.: Real Analysis, Macmillan Publishing Company, 3rd Ed., 1988.
- [Pressley] Andrew Pressley, Elementary Differential Geometry Springer, 2001.
- Thorpe, J.A.: Elementary Topics in Differential Geometry, Springer, 1979.
Algebra II:
• Instructors:
- Prof. Dilip P. Patil (DPP), Distinguished Professor, GITAM University, Bengaluru. (Ret’d Prof. IISc Bangalore)
- Prof. Amartya K. Dutta (AKD), Professor, ISI Kolkata.
- Dr. Nikhilesh Dasgupta (ND), Assistant Professor, GITAM University, Bengaluru.
• Course Associates:
- Dr. Animesh Lahiri (AL), Assistant Professor, GITAM University, Bengaluru.
- Dr. Sneh Bala Sinha (SBS), Assistant Professor, GITAM University, Bengaluru.
Analysis II:
• Instructors:
- Prof. M. Thamban Nair (MTN), Professor, BITS Pilani, Goa campus (Ret’d Prof. IIT Madras).
- Prof. A. K. Nandakumaran (AK), Professor, IISc Bangalore.
• Course Associates:
- Dr. Pramod Kumar Das (PKD), Assistant Professor, GITAM University, Bengaluru.
- Dr. Priyabrata Bag (PB), Assistant Professor, GITAM University, Bengaluru.
- Dr. Samir Kumar Hazra (SH), Assistant Professor, GITAM University, Bengaluru.
- Dr. Akshay Goel (AG), Assistant Professor, GITAM University, Bengaluru.
Topology II:
• Instructors:
- Prof. Gopala K. Srinivasan (GKS), Professor, IIT Bombay.
- Prof. Soumen Sarkar (SS), Professor, IIT Madras.
• Course Associates:
- Dr. Sudhir Singh (SS), Assistant Professor, GITAM University, Bengaluru.
- Dr. S Vishnuvardhana (VV), Assistant Professor, GITAM University, Bengaluru.
- Dr. Jyotirmoy Ganguly (JG), Assistant Professor, GITAM University, Bengaluru.
- Dr. Arindam Dey (AD), Assistant Professor, GITAM University, Bengaluru.
Time Table
Week 1
Date |
Lecture 9:30-11:00 |
Lecture 11:30-1:00 |
Tutorial 2:30-3:30 |
Tutorial 4:00-5:00 |
|||
May 27 |
Alg-L1 |
TEA |
Ana-L1 |
LUNCH |
Alg-T1 |
TEA |
Ana-T1 |
May 28 |
Top-L1 |
Alg-L2 |
Top-T1 |
Alg-T2 |
|||
May 29 |
Ana-L2 |
Top-L2 |
Ana-T2 |
Top-T2 |
|||
May 30 |
Alg-L3 |
Ana-L3 |
Alg-T3 |
Ana-T3 |
|||
May 31 |
Top-L3 |
Alg-L4 |
Top-T3 |
Alg-T4 |
|||
June 1 |
Ana-L4 |
Top-L4 |
Ana-T4 |
Top-T4 |
Week 2
Date |
Lecture 9:30-11:00 |
Lecture 11:30-1:00 |
Tutorial 2:30-3:30 |
Tutorial 4:00-5:00 |
|||
June 3 |
Alg-L5 |
TEA |
Ana-L5 |
LUNCH |
Alg-T5 |
TEA |
Ana-T5 |
June 4 |
Top-L5 |
Alg-L6 |
Top-T5 |
Alg-T6 |
|||
June 5 |
Ana-L6 |
Top-L6 |
Ana-T6 |
Top-T6 |
|||
June 6 |
Alg-L7 |
Ana-L7 |
Alg-T7 |
Ana-T7 |
|||
June 7 |
Top-L7 |
Alg-L8 |
Top-T7 |
Alg-T8 |
|||
June 8 |
Ana-L8 |
Top-L8 |
Ana-T8 |
Top-T8 |
Week 3
Date |
Lecture 9:30-11:00 |
Lecture 11:30-1:00 |
Tutorial 2:30-3:30 |
Tutorial 4:00-5:00 |
|||
June 10 |
Alg-L9) |
TEA |
Ana-L9 |
LUNCH |
Alg-T9 |
TEA |
Ana-T9 |
June 11 |
Top-L9 |
Alg-L10 |
Top-T9 |
Alg-T10 |
|||
June 12 |
Ana-L10 |
Top-L10 |
Ana-T10 |
Top-T10 |
|||
June 13 |
Alg-L11 |
Ana-L11 |
Alg-T11 |
Ana-T11 |
|||
June 14 |
Top-L11 |
Alg-L12 |
Top-T11 |
Alg-T12 |
|||
June 15 |
Ana-L12 |
Top-L12 |
Ana-T12 |
Top-T12 |
Week 4
Date |
Lecture 9:30-11:00 |
Lecture 11:30-1:00 |
Tutorial 2:30-3:30 |
Tutorial 4:00-5:00 |
|||
June 17 |
Alg-L13 |
TEA |
Ana-L13 |
LUNCH |
Alg-T13 |
TEA |
Ana-T13 |
June 18 |
Top-L13 |
Alg-L14 |
Top-T13 |
Alg-T14 |
|||
June 19 |
Ana-L14 |
Top-L14 |
Ana-T14 |
Top-T14 |
|||
June 20 |
Alg-L15 |
Ana-L15 |
Alg-T15 |
Ana-T15 |
|||
June 21 |
Top-L15 |
Alg-L16 |
Top-T15 |
Alg-T16 |
|||
June 22 |
Ana-L16 |
Top-L16 |
Ana-T16 |
Top-T16 |