Convener(s)
| Name: | Dr. Satyendra Kumar Mishra | Dr. Sheela Verma |
| Mailing Address: | Assistant Professor, Department of Mathematical Sciences, IIT (BHU), Varanasi, Uttar Pradesh-221005 |
Assistant Professor, Department of Mathematical Sciences, IIT (BHU), Varanasi, Uttar Pradesh-221005, |
| Email: | satyendrakr.mat at itbhu.ac.in | sheela.mat at itbhu.ac.in |
This Teachers’ Enrichment Workshop aims to build intuition and confidence in Topology, Functional Analysis, and Complex Analysis through simple ideas and clear examples. The sessions will focus on how these subjects grow naturally from familiar concepts and how they connect with each other. Emphasis will be on effective ways to teach these topics in an engaging and student-friendly manner.
Dates:
Venue:
Venue Address:
Department of Mathematical sciences,
Indian Institute of Technology (BHU),
Varanasi, Uttar Pradesh-221005.
Venue State:
Venue City:
PIN:
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) |
|
|
|
(Speaker’s name) |
|
(Speaker’s name) |
(Speaker’s name) |
|
(Speaker’s name) |
|
(Tutor’s name) |
|
|
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 |
|
Selected Applicants:
How to Reach:
TBA