Analysis and Topology (2023)

Convener(s)

 
Name: Prof. Pratulananda Das   Dr. Bikash Chakraborty
Mailing Address: Professor of Mathematics Department of Mathematics
Jadavpur University Kolkata - 700032		 Assistant Professor in Mathematics Department of Mathematics
Ramkrishna Mission Vivekananda Centenary College Rahara, Khardaha
West Bengal Pin – 700118
Email: pratulananda at yahoo.co.in bikashchakrabortyy at gmail.com

In this workshop we will deal with multivariate calculus, complex analysis and metric space topology whichare generally taught in the second year second semester and third year in Mathematics honours courses. Themain aim is to make the participants aware as how to introduce these topics to the students in interesting wayswith lots of examples and to emphasis the interplay between the three topics. In addition to the basic ideas inthese topics, we will try to cover certain topics which are not usually dealt with properly, like equivalentcriteria for completeness and compactness in R with the usual topology, compactness and connectedness inmetric spaces, directional derivatives, derivative, implicit function theorem etc in two variable calculus and analytic functionsin complex analysis.

Dates: 

Monday, March 6, 2023 - 19:00 to Saturday, March 11, 2023 - 19:00

Venue: 

Venue Address: 

 

Ramkrishna Mission Vivekananda Centenary College Rahara,Khardaha West Bengal Pin–700118

 

Venue State: 

Venue City: 

PIN: 

700118

Chrono Order: 

408

Syllabus: 

 Syllabus:

Name of the Speaker
with affiliation

No. of
Lectures

Detailed
Syllabus
Prof. Pratulananda Das
Jadavpur University		 6

Metric space topology, continuity, separation axioms,completeness,compactness,connectedness
Dr. Amiya Mondal
IISER Berhampur		 6

Topology in R,compactness,connectedness,Haine Borel theorem, Bolzano-Weirstrass Theorem, Nested interval theorem, interrelations, completeness
Dr. Pabitra Barik
IISER Berhampur		 6

Calculus of two variables, continuity, differentiability, directional derivatives, jacobian, mean value theorem, implicit function thorem
Dr. Sushil Gorai
IISER Kolkata		 6

Complex analysis, continuiity, Cauchy Riemann equation,analytic functions, geometric and topological approach

References:

 

  1. Topology of metric spaces,S.Kumaresan

  1. A basic course in real analysis,Ajit Kumar and S.Kumaresan

  2. Complex analysis,S. Kumaresan

 

Time Table: 

 Time-table(with names of speakers and tutors):

Day

Date

Lecture 1

(9.30
to
10.30)

Tea (10.35 to 10.55)

Lecturer 2

(11.00

to

12.00)

Lecture 3

(12.00

to

1.00)

Lunch

(1.00

to

2.20)

Lecture 4

(2.30

to

3.30)

Tea (3.35

to

3.55)

Discussion (4.00-500)

Snacks (5.05

to

5.30)

 

 

(Speaker’s name)

 

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

 

(Tutor’s name)

 

Mon

06.03.23

AM

 

PB

PD

 

SG

 

BC, AG, PD

 

Tue

07.03.23

SG

 

AM

PB

 

PD

 

BC, AG, SG

 

Wed

08.03.23

PD

 

SG

AM

 

PB

 

BC, AG,AM

 

Thu

09.03.23

PB

 

PD

SG

 

AM

 

BC, AG, PB

 

Fri

10.03.23

AM

 

PB

PD

 

SG

 

BC, AG, PD

 

Sat

11.03.23

SG

 

AM

PB

 

PD

 

BC, AG, PB

  

 

Name of the tutors:

S.No.

Name

Affiliation

1

Dr. Bikash Chakraborty

Ramkrishna Mission Vivekananda Centenary College

2

Mr.Ayan Ghosh

SRF (4th year), Jadavpur University

 

 

 

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College / University Uni / Inst. M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Deg.Date
Selected Applicants
1 42716 Mr. Bikram Dholey Male Ramakrishna mission Vivekananda centenary college Msc Passedout student Ramakrishna mission Vivekananda centenary college 2022  
2 42787 Mr. Firdous Ahmad Mala Male Kashmir university Assistant Professor University of Kashmir 2008  
3 42891 Mr. Sourav Chowdhury Male Fulia Krittibas Smriti Vidyalaya AT University Of Kalyani 2011  
4 42963 Mr. Md Adud Male University of Burdwan PhD IIT KANPUR 2017  
5 43101 Mr. Vivek Kumar Male Central University of Jammu PhD scholar University of Jammu 2017  
6 43303 Mr. Aditya Sharma Male Motilal Nehru National Institute of Technology Allahabad, Prayagraj PHD Jamia Milia Islamia 2016  
7 43317 Mr. Manikandan K Male Sri Sai Ram Engineering College (Autonomous) Asst. Prof. Government Arts College (Autonomous), Salem -636007 / Periyar University 2012  
8 43333 Mr. Sudip Saha Male Ramakrishna Mission Vivekananda Centenary College Ph.D. Student University of Kalyani 2017  
9 43337 Mr Soumon Roy Male Ramkrishna Mission Vivekananda Centenary college PhD Razabazar science college, under Calcutta university 2019  
10 43391 Mr. Amit Kumar Pal Male Department of Mathematics, University of Kalyani PhD student University of Kalyani 2015  
11 43428 Dr. Partha Ray Male Ramakrishna Mission Vivekananda Centenary College Assistant Professor I. I. T. Kanpur 2009 25 Jun 2019
12 43462 Mr. Sourav Mandal Male University of North Bengal Senior research scholar & Guest Lecturer University of North Bengal 2018  
13 43511 Mr Kalikambar Gnanaprakasam Male Mohammed sathak college of arts and science Assistant Professsor University of Madras / D.B.jain college 2015  
14 43536 Prof. Mallikarjun G Shrigan Male Dr B A M University, Aurangabad Asst. Prof. Dr. B A M University, Aurangabad 1998  
15 43558 Ms. Anjali . Female Gautam Buddha University, Ph.D. Dr. B.R. Ambedkar University, Agra 2010  
16 43571 Ms Sulochana Bhandari Female HNBGU, SRT Campus, Badshahithaul, Tehri Garhwal PhD HNBGU, Chauras Campus, Tehri Garhwal 2017  
17 43815 Mr. Ankur Sharmah Male Tezpur University Research Scholar Tezpur University 2017  
18 43907 Mr Saravanakumar Dhanabal Male MSS Wakf Board College, Madurai Assistant Professor Madurai Kamaraj University 2006 20 Jan 2015
19 43954 Mr A S E S N Sudhakar Male Government junior college Tekkali Government Andhrauniversity 2007 12 Jun 2018
20 44009 Dr Thounaojam Indubala Devi Female D.M COLLEGE OF ARTS ASST. PROF NEHU SHILLONG 1985 19 Sep 2016
21 44052 Mr. Praveen Kumar Male B.N.Mandal university Madhepura Assistant professor BRABU Muzaffarpur 2015  
22 44057 Mr Anish Kumar Male National Institute of Technology Jamshedpur PhD Central University of South Bihar 2018  
23 44119 Mr. Salman Zaheer Male VIT
University Vellore		 PhD Jamia Millia Islamia New Delhi 2019  
24 44279 Mr. Abhijit Majumder Male Lovely Professional University Assistant Professor University of Calcutta 2015  
25 45180 Mr. Mahesh Joshi Male Koneru Lakshmaiah Education Foundation,
Department Of Mathematics,
Green Fields,
Vaddeswaram.		 Research Scholar Koneru Lakshmaiah Education Foundation 2021  
26 45181 Ms Remala Mounikalakshmi Female Koneru Lakshmaiah Education Foundation,
Department Of Mathematics,
Green Fields,
Vaddeswaram.		 PhD Koneru Lakshmaiah Education Foundation 2021  
27 45427 Mrs. Nitakshi Goyal Female Akal Degree College, Mastuana (Sangrur) Assistant Professor Punjabi University, Patiala 2012 18 Feb 2020
28 45457 Ms. Subhra Kundu Female P.R.M.S.MAHAVIDYALAYA SACT B.U 2015  
29 45492 Dr. Om Prakash Keshri Male Mizoram University, Tanhril Assistant Professor (Guest Faculty) Indian Institute of Technology (Indian School of Mines), Dhanbad 2012 10 Sep 2020
30 45493 Dr. Pramila Kumari Prajapati Female Nalbari Polytechnic, Nalbari Lecturer Gauhati University 2011 12 Mar 2018
31 45646 Mr. Vipul Snehi Male Lalit Narayan Mithila University Asst. Prof IIT Bombay 2013  
32 45702 Dr. Pankajam V Female Sri G.V.G.Visalakshi College for Women Assistant Professor Bharathiar University 1999 8 Jul 2013
33 45708 Mr Vaishakh K J Male Cochin University of Science and Technology Guest Faculty Cochin University of Science and Technology 2022  
34 45746 Ms. Jita Parida Female self TEACHING SAMBALPUR UNIVERSITY 2004  
35 45752 Dr. Sandeep Kaur Female Akal University Assistant Professor M.Sc. 2009 11 May 2017
  Local Participants
    
1 42710 Mr. Ritoprovo Roy Male Ramakrishna Mission Vivekananda Centenary College BSc Student      
2 42741 Mr. Sashadhar Dutta Male Ramakrishna Mission Vivekananda Centenary College Msc Ramakrishna Mission Vivekananda Centenary College    
3 43503 Mr. Satyik Ghosh Male Scottish Church College BSc Student      
4 45119 Mr. Agniva Dey Male Ramakrishna Mission Vivekananda Centenary College MSc Student Ramakrishna Mission Vivekananda Centenary College Appeared  
5 45287 Mr. Nazrul Haque Male Ramakrishna Mission Vivekananda Centenary College Msc student Ramakrishna Mission Vivekananda Centenary College Appeared  
6 45288 Mr. Soumen Biswas Male Ramakrishna Mission Vivekananda Centenary College M.Sc Student Ramakrishna Mission Vivekananda Centenary College Appeared  
7 45289 Mr. Suprakash Pal Male Ramakrishna mission vivekananda centenary college, rahara Msc Ramakrishna mission vivekananda centenary college, rahara Appeared  
8 45351 Mr Souvik Chatterjee Male Ramakrishna mission Vivekananda centenary college Msc student Ramakrishna mission Vivekananda centenary college Appeared  
9 45352 Mr Pritam Kundu Male Ramakrishna Mission Vivekananda Centenary College MSc student Ramakrishna Mission Vivekananda Centenary College Appeared  
10 45600 Ms. Arnabi Saha Female Jadavpur University MSc Student Jadavpur University Appeared  
11 45707 Mr. Shubhankar Maji Male Ramakrishna mission vivekananda centenary college, rahara Msc student West Bengal state University Appeared  
12 45716 Ms. Sagarika Dutta Female university of Calcutta MSc STUDENT UNIVERSITY OF CALCUTTA 2022  
13 45726 Mr Bapan Sahoo Male Indian institute of technology guwahati Msc student Indian institute of technology of guwahati Appeared  
  Waiting list      
1 45378 Mr. Granthik Bose Male Jadavpur University MSc Student Jadavpur University 2022  
2 43204 Mr. Mohd Farhan Male Institute of Science Nagpur Student RTMNU 2022  
3 42876 Mr. Ritam Sinha Male Ramakrishna Mission Vivekananda Centenary College, Rahara. Project Scholar. Ramakrishna Mission Vivekananda Centenary College, Rahara. 2022  
4 43962 Ms. Pathri Sirisha Female Visvesvaraya national institute of technology Student Visvesvaraya national institute of technology, Nagpur 2022  

How to Reach: 

TBA

School Short Name: 

at

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0