Real Analysis and Differential Equations (2025)

Convener(s)

 
Name:  Prof. Pratulananda Das  Prof. Bipan Hazarika
Mailing
Address:		 Professor in Mathematics Department of Mathematics
Jadavpur University
Kolkata - 700032		 Professor in Mathematics Department of Mathematics
Guahati University Gopinath Bordoloi Nagar Guwahati
Assam 781014
Email: pratulananda at yahoo.co.in  bh_rgu at yahoo.co.in

In this workshop we will deal with primarily to discuss topology and analysis of Rn and the basic linear algebra which all are parts of undergraduate syllabus. The main aim is to make the participants aware as how to introduce these topics to the students in interesting ways with lots of examples and to emphasis the interplay between the topics.

Dates: 

Monday, January 20, 2025 - 19:00 to Saturday, January 25, 2025 - 19:00

Venue: 

Venue Address: 

Department of Mathematics Guwahati University Gopinath Bordoloi Nagar Guwahati
Assam 781014

 

 

Venue State: 

Venue City: 

PIN: 

781014

Syllabus: 

 

Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
Prof. Bhaba Kr. Sarma
 IIT Guwahai		 6 Completeness of R, application of supremum property, sequence of real numbers, different types of sequences, limit of a sequence, subsequences and Bolzano Weierstrass theorem
Prof. Bipan Hazarika Gauhati University 6 Limits of functions, continuous functions, uniform continuity, differentiable functions
Prof. Pratulananda Das Jadavpur University, Kolkata 6 Riemann Integral, Riemann Integrable functions, Fundamental theorems, Mean value theorem, Change of variable in  Riemann integration
Prof. Bhupen Deka
IIT, Guwahati		 6 Classical Function Spaces, First Order Linear and Non-linear Ordinary Differential Equations (ODEs), Existence and Uniqueness Theorems, Higher Order Linear Equations, Qualitative Properties of the Solution Space, First Order Linear System

 

References:

  1. R.G. Bartle and D. R. Sherbert, Introduction to Real Analysis, 3rd Ed., John Wiley and Sons (Asia) Pvt. Ltd., Singapore, 2002.
  2. S.K. Berberian, A First Course in Real Analysis, Springer Verlag, New York, 1994.
  3. Terence Tao, Analysis – I, Hindustan Book Agency, 2009.
  4. Richard R. Goldberg, Methods of Real Analysis, Oxford and IBH Publishing Co. Pvt. Ltd.
  5. S. L. Ross, Differential Equations, 3rd Ed., John Wiley and Sons, India, 2004.
  6. G. F. Simmons, Differential Equations (with applications and historical notes), Tata McGraw Hill.
  7. D. Murray, Introductory Course in Differential Equations, Longmans Green and Co.
  8. M. L. Abell, J. P. Braselton, Differential Equations with MATHEMATICA, 3rd Edition, Elsevier academic Press, 2004.

Time Table: 

 

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

(2.30-3.30)

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

 

PD

 

BKS

BD

 

BH

 

BH, GD, AA

 

Tue

 

BH

 

PD

BKS

 

BD

 

BD, GD, AA

 

Wed

 

BD

 

BH

PD

 

BKS

 

BKS, GD, AA

 

Thu

 

BKS

 

BD

BH

 

PD

 

PD, GD, AA

 

Fri

 

PD

 

BKS

BD

 

BH

 

BH, GD, AA

 

Sat

 

BH

 

PD

BKS

 

BD

 

BD, GD, AA

 

 Name of the tutors:

S.No.

Name

Affiliation

1

Gautom Das, SRF

Guahati University

2

Abdul Ahmed, SRF

Guahati University

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/University University/Institute M.Sc./M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
1 60575 Mr. Prodyot Ghara Male Nayagram Pandit Raghunath Murmu Government College Assistant Professor Jadavpur University 2009  
2 60689 Dr. Shobh Nath Rai Male B. P. Mandal College of Engineering Assistant Professor M.Sc 2016 8 Nov 23
3 60728 Dr. Ankur Sharmah Male Bhattadev University Assistant professor Tezpur University 2017 31 May 23
4 60771 Mr. Beenu Singh Male MJS Govt PG College, Bhind Asst. Professor University of Delhi, Delhi 2015  
5 60807 Mr. Gunajyoti Saharia Male North Eastern Hill University PhD Student Tezpur University 2021  
6 60992 Dr. Om Prakash Keshri Male Dayananda Sagar University Assistant Professor Indian School of Mines, Dhanbad 2012 10 Sep 20
7 60997 Dr. Pramila Kumari Prajapati Female Nalbari Polytechnic Guest Lecturar Gauhati University 2011 12 Mar 18
8 61226 Mr Dilli Ram Chhetri Male Sikkim Govt. Science College Chakung Assistant Professor Sikkim University 2015  
9 61436 Dr. Nabin Kumar Pokhrel Male Bhawanipur Anchalik College Assistant Professor, Stage I University of Delhi 2015 21 Feb 23
10 61512 Mr Nabajit Saha Male Bhattadev University Asst. Prof. Gauhati University 2001  
11 61514 Mr. Parthapratim Saha Male Sipajhar College Assistant Professor Gauhati UNuversity 2018  
12 61541 Mr. H. Imo Mani Singha Male The Assam Royal Global University Assistant Professor M.Sc. 2015  
13 61547 Mr. Dibya Jyoti Saikia Male Basugaon College Assistant Professor Gauhati University 2019  
14 61548 Dr Dibyajyoti Hazarika Male North Lakhimpur College Assistant Professor Gauhati University 2000 17 Sep 24
15 61552 Dr. Navalakhi Hazarika Female Bhattadev University Associate Professor   2005 2 Oct 12
16 61554 Dr. Komal Goyal Female Galgotias Institute of Management and Technology Asst. Prof. University of Delhi 2021 17 Aug 24
17 61557 Dr. Dakjum Eshi Female Rajiv Gandhi University Assistant Professor North Eastern Regional Institute of Science and Technology 2011 19 Jul 24
18 61571 Mr. Champak Talukdar Male Behali Degree College Assistant Professor Gauhati University 2017  
19 61575 Dr. Pankaj Kumar Nath Male Dakshin Kamrup College, Mirza Asst. Prof. Gauhati University 2016 30 Apr 21
20 61577 Ms. Rabika Gurung Female Sikkim government college, Namchi Asst. Prof University of Delhi 2018  
21 61589 Mr. Pranab Jyoti Hazarika Male Gauhati University PhD Tezpur Central University 2020  
22 61595 Dr Kabindra Goswami Male Dakshin Kamrup College, Mirza Assistant Professor, Department of Mathematics MSc Mathematics from Gauhati University 2016 28 Jun 23
23 61597 Mr Ankurjyoti Chutia Male Gauhati University PhD Student Tezpur University 2021  
24 61615 Dr. Ankur Jyoti Kashyap Male Girijananda Chowdhury University Assistant Professor Gauhati University 2017 1 Sep 22
25 61618 Dr Sajad Hussain Ahangar Male Department of Mathematics,
Amar Singh College, Cluster University Srinagar Kashmir		 Assistant Professor University of Kashmir Srinagar 2009 27 Jun 16
26 61619 Mr Kumar Napoleon Deka Male Gauhati University Phd( Research Scholar) Gauhati University 2017  
27 61628 Dr Dipankar Das Male Dibrugarh University Asst. Professor Gauhati University 2011 1 Sep 17
28 61630 Dr. Dipunja Gohain Male Girijananda Chowdhury University Asst. Prof. Gauhati University 2017 1 Jun 24
29 61631 Ms Rakhi Pote Female Bharatesh Institute of Technology, Belagavi Assistant Professor Rani Channamma University, Belagavi 2012  
30 61635 Dr. Shubham Jaiswal Male PGDAV College Assistant Professor Kumaun University, Nainital 2011 29 Dec 18
31 61649 Mr Dipam Das Male Bagadhar Brahma Kishan College. Jalah Assistant Professor Gauhati University 2020  
32 61658 Dr. Debozani Borgohain Female Dibrugarh University Assistant Professor Gauhati 2010 21 Jul 17
33 61660 Mr Raju Kumar Phukan Male JIST,Jorhat Assistant Professor Gauhati University 2002  
34 61663 Mr. Yogesh Kumar Meena Male Pgdav College, University of Delhi Assistant Professor University of Rajasthan 2018  
35 61665 Dr. Kshetrimayum Renubebeta Devi Female Department of Mathematics, St. Joseph's College (Autonomous) Assistant Professor Kumaun University 2016 22 Sep 22
Waiting list
1 61499 Mr. Biswajit Ganguly Male IIT Delhi PhD Student IIT DELHI 2024  
2 61572 Tamuli Liza Tamuli Female GAUHATI UNIVERSITY PhD Assam Science and Technology University 2020  
3 61617 Mr. Dahar Basumatary Male Central Institute of Technology, Kokrajhar PhD Bodoland University 2023  
4 61625 Ms Manalisha Bhujel Female Gauhati University PhD Bodoland University 2018  
5 61637 Mr. Krishna Mani Nath Male Gauhati University PhD Gauhati University 2023  
6 61639 Miss Bhaswati Khaund Female Gauhati University,Gauhati PhD Scholar Cotton University 2023  
7 61640 Ms. Mitali Majumder Female Gauhati University Phd Tezpur University 2023  
8 61642 Mr. Pranjal Talukdar Male Tezpur University PhD Student Tezpur University 2020 2 Oct 21
9 61655 Ms. Indrani Kalita Female Gauhati University PhD Delhi University 2023  
10 61661 Ms Winne Bareh Female North Eastern Hill University, Shillong PhD University M.Sc 2023 4 Dec 23
11 61668 Mr. Nabadeep Kalita Male Gauhati University Phd Gauhati University 2020  
12 61673 Mr. Ridip Medhi Male IIT Delhi PhD Tezpur University 2020  
13 61614 Mr Shiva Shah Male Gauhati university PhD Dibrugarh university 2021  
14 61638 Ms Khurshida Parvin Female Gauhati University Phd Bodoland University 2020 11 Sep 96
15 61662 Mr. Koushik Dutta Male Gauhati University PhD Dibrugarh University 2022  
16 61607 Mr Dipankar Patgiri Male Gauhati University Research Scholar M.Sc 2022  
17 61613 Mr Jugal Kishore Deka Male Gauhati University PhD student Gauhati University 2023  

 

 

 

 

How to Reach: 

How to reach Gauhati University for the participants

 

Gauhati University is 10 km from the Lokpriya Gopinath Bordoloi International Airport on National Highway No. 37; 5 km from Kamakhya Railway Station; and 12 km from Guwahati Railway Station. The university is easily accessible from the Guwahati city; Guwahati has road, rail and air links from all parts of the country. A large number of bus services from parts of Assam have their station at Rupnath Brahma Inter State Bus Terminal (ISBT), Bethkuchi, which is 10.9 km from the campus.

 

School Short Name: 

rade

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0