AFS-I - Annual Foundation School - I (2023)

Speakers and Syllabus


 Syllabus and Speakers

  1. Algebra:
    We will cover most of the material found in Chapters 6-9 of the following book:Michael Artin, Algebra, second edition, Pearson, 2010.
    • Speakers:
      1. Prof. Dilip P. Patil: Ret’d. Prof. IISc, Distinguised Prof., GITAM University, Bengaluru.(DP) : Week 1 , Week 2 and Week 3 : 04 - 23, Dec 23.
      2. Prof. Jugal K. Verma: Professor, IIT Bombay, Mumbai.(JKV) : Week 4 : 25 - 30, Dec 23.
    • Course Associates:
      1. Dr. Nikhilesh Dasgupta: GITAM University, Bengaluru.
      2. Dr. Arindam Dey: GITAM University, Bengaluru.
      3. Dr. Animesh Lahiri: Asst. Prof., GITAM University, Bengaluru.
    • References:
      1. M. Artin: Algebra, Pearson, Second Edition, 2010.
      2. I. N. Herstein: Abstract Algebra, Prentice-Hall, Third Edition, 1996.
      3. T. W. Hungerford: Algebra, Springer, Fourth Edition, 2003.
      4. S. Lang: Algebra, Springer, Revised Third Edition, 2005.
      5. N. Jacobson, Basic Algebra I, Second Edition, W. H. Freeman and Company, New York.
         
  2. Analysis:
    We will cover most of the material found in Chapters 1-4 of the following book: E.M. Stein and R. Shakarchi, Complex Analysis, Princeton University Press, 2003
    • Speakers:
      1. Dr. Koushik Ramachandran: TIFR CAM.(KR) : Week 1: 04 - 09, Dec 23.
      2. Dr. K. Senthil Kumar, NISER, Bhubaneswar.(KSK) : Week 2: 11 - 16, Dec 23.
      3. Prof. Vikas Bist, Distingushed Professor, GITAM University, Visakhapatnam. (VB) : Week 3 and Week 4: 18 - 30, Dec 23.
    • Course Associates:
      1. Dr. Sneh Bala Sinha: GITAM University, Bengaluru.
      2. Dr. Priyabrata Bag: GITAM University, Bengaluru.
      3. Dr. Harish Srivastava: GITAM University, Bengaluru.
      4. Dr. Samir Kumar Hazra: GITAM University, Bengaluru.
    • References:
      1. L. V. Ahlfors: Complex Analysis, McGraw Hill, Third Edition, 2017.
      2. W. Rudin: Real and Complex Analysis, McGraw Hill, Third Edition, 2017.
      3. A. R. Shastri: Basic Complex Analysis of One Variable, Macmillan Publ. Ind. Ltd..
  3. Topology:
    We will cover most of the material found in Chapters 1-7 and Chapter 4 of the following books, respectively: G. F. Simmons, Introduction to Topology and Modern Analysis, McGraw-Hill, 1983. M. A. Armstrong, Basic Topology, Springer International Edition.
    • Speakers:
      1. Prof. Soumen Sarkar: IIT Madras (SS) : Week 1: 04 - 09, Dec23.
      2. Prof. Kashyap Rajeevsarathy: IISER Bhopal.  (KRaj) : Week 2: 11 - 16, Dec23.
      3. Prof. Tarun Kumar Das: University of Delhi.  (TKD) : Week 3: 18 - 23, Dec23.
      4. Dr. Ramesh Kasilingam: IIT Madras.  (RK) : Week 4: 25 - 30, Dec23.
    • Course Associates:
      1. Dr. Pramod Kumar Das: GITAM University, Bengaluru.
      2. Dr. Jyotirmoy Ganguly: GITAM University, Bengaluru.
      3. Dr. Joydip Saha: GITAM University, Bengaluru.
      4. Dr. Raj Bhawan Yadav: GITAM Univesity, Bengaluru.
    • References:
      1. G. F. Simmons, Introduction to Topology and Modern Analysis, McGraw-Hill, 1983.
      2. M. A. Armstrong, Basic Topology, Springer International Edition.
      3. James R. Munkres, Topology, second edition, Prentice Hall, 2000.
      4. James Dugundji, Topology, Prentice Hall (1 December 1966), ISBN-13 : 978-0205002719

Time Table

Week 1 : 04 Dec – 09 Dec 23

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
Dec 4 Alg-L1 Tea Ana-L1 Lunch Alg-T1 Tea Ana-T1
Dec 5 Top-L1 Tea Alg-L2 Lunch Top-T1 Tea Alg-T2
Dec 6 Ana-L2 Tea Top-L2 Lunch Ana-T2 Tea Top-T2
Dec 7 Alg-L3 Tea Ana-L3 Lunch Alg-T3 Tea Ana-T3
Dec 8 Top-L3 Tea Alg-L4 Lunch Top-T3 Tea Alg-T4
Dec 9 Ana-L4 Tea Top-L4 Lunch Ana-T4 Tea Top-T4

Week 2 : 11 Dec – 16 Dec 23

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
Dec 11 Alg-L5 Tea Ana-L5 Lunch Alg-T5 Tea Ana-T5
Dec 12 Top-L5 Tea Alg-L6 Lunch Top-T5 Tea Alg-T6
Dec 13 Alg-L7 Tea Ana-L6 Lunch Alg-T7 Tea Ana-T6
Dec 14 Top-L6 Tea Alg-L8 Lunch Top-T6 Tea Alg-T8
Dec 15 Ana-L7 Tea Top-L7 Lunch Ana-T7 Tea Top-T7
Dec 16 Ana-L8 Tea Top-L8 Lunch Ana-T8 Tea Top-T8

Week 3 : 18 Dec – 23 Dec 23

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
Dec 18 Alg-L9 Tea Ana-L9 Lunch Alg-T9 Tea Ana-T9
Dec 19 Top-L9 Tea Alg-L10 Lunch Top-T9 Tea Alg-T10
Dec 20 Ana-L10 Tea Top-L10 Lunch Ana-T10 Tea Top-T10
Dec 21 Alg-L11 Tea Ana-L11 Lunch Alg-T11 Tea Ana-T11
Dec 22 Ana-L12 Tea Top-L11 Lunch Ana-T12 Tea Top-T11
Dec 23 Top-L12 Tea Alg-L12 Lunch Top-T12 Tea Alg-T12

 Week 4 : 25 Dec – 30 Dec 23

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
Dec 25 Alg-L13 Tea Ana-L13 Lunch Alg-T13 Tea Ana-T13
Dec 26 Top-L13 Tea Alg-L14 Lunch Top-T13 Tea Alg-T14
Dec 27 Ana-L14 Tea Top-L14 Lunch Ana-T14 Tea Top-T14
Dec 28 Alg-L15 Tea Ana-L15 Lunch Alg-T15 Tea Ana-T15
Dec 29 Top-L15 Tea Alg-L16 Lunch Top-T15 Tea Alg-T16
Dec 30 Ana-L16 Tea Top-L16 Lunch Ana-T16 Tea Top-T16

 

Subject Lecture/Tutorial Speaker/Course Associate
Algebra Alg-Ln : nth lecture in Algebra. Alg-Tn: n th tutorial in Algebra. DP , JKV
Topology Top-Ln : nth lecture in Topology. Top-Tn: nth tutorial in Topology. SS , KRaj , TKD , RK
Analysis Ana-Ln: nth lecture in Complex Analysis. Ana-Tn: nth tutorial in Complex Analysis. KR , KSK , VB

 

 

 

 

File Attachments: