TEW - Analysis and Topology (2026)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Dr. Sheela Verma, IIT (BHU), Varanasi. (SV) |
6 |
Complex numbers, analytic functions, Cauchy-Riemann equations, Complex integration, Taylor and Laurent series, singularities and residues. |
|
Dr. Kousik Dhara IIT (BHU), Varanasi. (KD) |
6 |
Normed spaces, bounded linear maps, Hilbert spaces, Hahn-Banach Theorems (sketch and applications), Banach spaces, Uniform Boundedness principle, closed graph and open mapping theorems. |
|
Prof. Pratulananda Das, Jadavpur University, Kolkata (PD) |
6 |
Metric space topology, continuity, completeness, Banach fixed point theorem, compactness, Cantor’s intersection theorem, and Baire category theorem |
|
Dr. Satyendra Kumar Mishra, IIT (BHU), Varanasi. (SKM) |
6 |
General topology, generating topology: basis and subbasis, continuity, homeomorphisms, separation axioms |
References:
1. J. R. Munkres: Topology, A First Course, Prentice-Hall of India, New Delhi, 1987.
2. G. F. Simmons: Introduction to Topology and Modern Analysis.
3. W. Rudin: Real and Complex Analysis, Mc-Graw-Hill 3rd ed.
Name of the tutors:
|
S. No. |
Name |
Affiliation |
|
1 |
Suman Khanra (SK) |
IIT (BHU), Varanasi |
|
2 |
Granthik Bose (GB) |
IIT (BHU), Varanasi |
Time Table
|
Day |
Date |
Lecture 1 (9.30–10.30) |
Tea (10.35-10.55) |
Lecturer 2 (11.00–12.00) |
Lecture 3 (12.00–1.00) |
Lunch (1.00 – 2.20) |
Lecture 4 (2.30-3.30) |
Tea (3.35 -3.55) |
Discussion (4.00-500) |
Snacks (5.05 – 5.30) |
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(Speaker’s name) |
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(Speaker’s name) |
(Speaker’s name) |
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(Speaker’s name) |
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(Tutor’s name) |
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|
Mon |
|
PD |
|
SV |
KD |
|
SKM |
|
SKM, GB, SK |
|
|
Tue |
|
KD |
|
PD |
SKM |
|
SV |
|
PD, GB, SK |
|
|
Wed |
|
PD |
|
SV |
KD |
|
SKM |
|
PD, GB, SK |
|
|
Thu |
|
KD |
|
PD |
SKM |
|
SV |
|
KD, GB, SK |
|
|
Fri |
|
PD |
|
SV |
KD |
|
SKM |
|
SKM, GB, SK |
|
|
Sat |
|
KD |
|
PD |
SKM |
|
SV |
|
SV, GB, SK |
|