TEW - Complex Analysis and Geometry (2022)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Prof. K. S. Charak University of Jammu |
6 |
Analytic functions, Harmonic functions, Power Series, Taylor's series, Complex Integrations, Examples and consequences |
|
Prof . Swdesh Kumar Sahoo IIT Indore |
6 |
Laurent Series, Classification of Singularities, Picard’s theorem, Residue calculus, Examples and consequences |
|
Prof. S Ponnusamy IIT Chennai |
6 |
Entire and meromorphic functions, Weierestrass factorization theorem, Mittag-Leffler theorem, Univalent harmonic mappings, Example and consequences |
| Prof. V. Balaji TE IIT Chennai |
6 |
Conformal mappings, Schwarz Christoffel mapping , Riemann mapping theorem, Examples and consequences, |
| Dr. A Sairam Kaliraj IIT Ropar |
2 |
Demonstration of conformal maps using software Mathematica |
| Dr. P. Muthukumar IIT Kanpur |
1 |
Univalent functions and their geometric properties |
References:
1. S. Ponnusamy, Foundations of Complex Analysis, 2005, 508 pp; Narosa Publishing House, New Delhi.
2. S. Ponnusamy and H. Silverman, Complex Variables with Applications, 2006, 524 pp; Birkhauser, Boston
3. L. V. Ahlfors, Complex Analysis, McGraw-Hill Book Co., New York
Name of the tutors:
|
S. No. |
Name |
Affiliation |
|
1 |
Dr. A Sairam Kaliraj |
IIT Ropar |
|
2 |
Dr. P. Muthukumar |
IIT Kanpur |
|
3 |
Dr. Ritu Agarwal |
MNIT Jaipur |
Time Table
Time Table
|
Day |
Date |
Lecture 1 (9.30–10.30) |
Tea (10.30-10.45) |
Lecturer 2 (10.45–11.45) |
Lecture 3 (11:45-12:45) |
Lunch (1.00 – 2.00) |
Lecture 4 (2.30-3:30) |
Tea (3.30 -3.45) |
Discussion (3:45-4:45) |
Snacks (5.00 – 5.30) |
|
Mon |
12 Dec |
KSC |
|
PS |
KSC |
|
PM |
|
PM, KSC, RA |
|
|
Tue |
13 Dec |
KSC |
|
PS |
PS |
|
KSC |
|
PS, KSC, PM |
|
|
Wed |
14 Dec |
KSC |
|
KSC |
PS |
|
PS |
|
PS, PM, KSC |
|
|
Thu |
15 Dec |
VB |
|
SKS |
SKS |
|
PS |
|
VB, SKS, ASK |
|
|
Fri |
16 Dec |
VB |
|
SKS |
SKS |
|
VB |
|
VB, SKS, ASK |
|
|
Sat |
17 Dec |
VB |
|
SKS |
ASK |
|
ASK |
|
VB, SKS, ASK |
|
Full forms for the abbreviations of speakers and tutors:
Speakers:
PS: Prof. Ponnusamy S.
VB: Prof V Balaji TE
KSC: Prof. K. S. Charak
SKS: Prof. Swdesh Kumar Sahoo
Tutors:
ASK: Dr. A Sairam Kaliraj
PM: Dr. P. Muthukumar
RA: Dr. Ritu Agarwal