Multivariate Analysis and Linear Algebra (2024)

Convener(s)

 
Name: Prof. Pratulananda Das  Prof. Bipan Hazarika
Mailing Address: Professor of Mathematics
Department of Mathematics
Jadavpur University Kolkata - 700032		 Professor in Mathematics
Department of Mathematics
Guwahati 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.

TEWs are meant for the local teachers. Therefore, accommodation charges are not applicable to the participants. Also, there is no provision for reimbursement of travel expenses to the participants in the NCM programmes.
 

 

Dates: 

Monday, March 11, 2024 - 19:00 to Saturday, March 16, 2024 - 19:00

Venue: 

Venue Address: 

Department of Mathematics
Guwahati University
Gopinath Bordoloi Nagar Guwahati
Assam 781014

 

Venue State: 

Venue City: 

PIN: 

781014

Chrono Order: 

474

Syllabus: 

 Syllabus:

 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Sukanta Pati
IIT Guwahai

6

Linear systems, Gauss elimination, row echelon form, reduced row echelon form, LU decomposition. Determinant and its properties. Eigenvalues and eigenvectors, diagonalization, spectral decomposition of a diagonalizable matrix, functions of diagonalizable matrices.

Prof. Amber Habib

Shiv Nadar University, Delhi

6

Vector spaces and subspaces, basis and dimension, row and column space, rank-nullity theorem, linear transformations and their matrix representation. Inner product spaces, orthogonal decomposition theorem, unitary and orthogonal operators, URV decomposition,

singular value decomposition. Discrete Fourier transform.

Prof. Pratulananda Das
Jadavpur University, Kolkata

6

Calculus of Rn, continuity, differentiability, directional

derivatives, jacobian, mean value theorem, implicit function thorem

Prof. Bipan Hazarika
Guwahati University

6

Topology in Rn, compactness, connectedness, Haine Borel

theorem, Bolzano-Weirstrass Theorem, completeness

 

 

 

 

 

 

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

-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

 

SP

AH

 

BH

 

 

 

Tue

 

BH

 

PD

SP

 

AH

 

 

 

Wed

 

AH

 

BH

PD

 

SP

 

 

 

Thu

 

SP

 

AH

BH

 

PD

 

 

 

Fri

 

PD

 

SP

AH

 

BH

 

 

 

Sat

 

BH

 

PD

SP

 

AH

 

 

 

  Prof. Sukanta Pati - SP
  Prof. Amber Habib – AH
  Prof. Pratulananda Das – PD
  Prof. Bipan Hazarika - BH

 

 

Selected Applicants: 

 

Sr.n SID Full Name Gender Affilition Position in College/ University University/Institute M.Sc./ M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
1 53981 Mr. Parthapratim Saha Male Sipajhar College Assistant Professor Gauhati UNuversity 2018  
2 53992 Mr. Ashan Gupta Male Koshi College, Khagaria Assistant Professor Banaras Hindu University Varanasi 2012  
3 54019 Ms. Nevya Venkateswarl Daari Female Parul University Asst.Professor Vnsgu 2015  
4 54049 Mr. Rownak Kundu Male Nalbari College Assistant Professor Gauhati University 2018  
5 54053 Mr. Pranab Jyoti Hazarika Male Gauhati University PhD Tezpur University 2020  
6 54063 Mr Kumar Napoleon Deka Male Gauhati University Phd Gauhati University 2017  
7 54074 Mr Bapan Singha Male University of Gour Banga M.sc student University of Gour Banga 2022  
8 54088 Mr. Ujjal Timshina Male Sikkim Global Technical University Lecturer Sikkim University 2023  
9 54090 Dr. Om Prakash Keshri Male Dayananda Sagar University Assistant Professor Indian School of Mines, Dhanbad 2012 10/09/2020
10 54093 Mr Brajamohan Sahoo Male Tezpur University PhD Central University Of Jharkhand 2020  
11 54101 Dr. Ankur Jyoti Kashyap Male Girijananda Chowdhury University Assistant professor Gauhati University 2017 01/09/2022
12 54115 Mr. Pappu Das Male Gauhati University PhD Tezpur University 2020  
13 54160 Mr. Gunajyoti Saharia Male North Eastern Hill University PhD Scholar Tezpur University 2021  
14 54208 Dr. Renuka Sahu Female Kalinga University Assistant Professor Pt. Ravishankar Shukla University 2012 20/12/2022
15 54209 Dr. Tejaswini Pradhan Female Kalinga University, Chhattisgarh Asst. Prof Sambalpur University 2014 28/02/2020
16 54216 Mr. Niren Biswas Male University of Calcutta Research Scholar University of Calcutta 2019  
17 54225 Mr. Indrajit Narah Male BARKHETRI COLLEGE Assistant Professor Indian Institute Of Technology Gandhinagar 2018  
18 54228 Dr. Pramila Kumari Prajapati Female Nalbari Polytechnic, Nalbari Lecturer (Part Time) Gauhati University 2011 12/03/2018
19 54234 Mr. Swaraj Sahoo Male Institute of Mathematics and Applications PhD Utkal University 2020  
20 54248 Mr. Hirak Jyoti Sarma Male Institute of Advanced Study in Science and Technology PhD M.Sc 2020  
21 54274 Dr. Pranab Kalita Male Pandit Deendayal Upadhyaya Adarsha Vidyalaya, Dalgaon, Darrang, Assam Assistant Professor IIT, Guwahati 2003 31/12/2016
22 54276 Ms Divyadevi Thangaraj Female NIT Trichy Research Scholar Bharathidasan University 2017  
23 54278 Mr. Krishna Mani Nath Male Gauhati University MSc Student Gauhati University 2023  
24 54279 Dr. Phinao Ramwungzan Male Manipur Technical University Assistant Professor Ramjas College, University of Delhi 2014 14/01/2021
25 54280 Mr. Rohit Patel Male Government PG College Bisalpur Pilibhit Assistant Professor IIT ROORKEE 2016  
26 54281 Mr H Lal Hriatpuia Male Mizoram University PhD Scholar Mizoram University (M.Sc.) 2023  
27 54282 Ms. Swati Goyal Female Birla Institute of Technology and Science Pilani, Pilani Campus Ph.D. Chaudhary Charan Singh University, Meerut 2016  
28 54284 Ms Aishwaraya Female Indian Institute of Technology Jodhpur, India PhD Malviya National Institute of Technology Jaipur 2017  
29 54286 Mr Ankurjyoti Chutia Male Gauhati University PhD Student Tezpur University 2021  
30 54287 Ms. Priyanka Baruah Female GAUHATI UNIVERSITY Phd Gauhati university 2022  
31 54288 Mr Dipam Das Male B B Kishan College Assistant Professor 94 2020  
32 54289 Mr Pranab Modak Male Mizoram university Phd Burdwan university 2020  
33 54290 Mr Reuben Lalremruata Male Mizoram University PhD Mizoram University 2023  
34 54291 Ms Nancy Lalremsangi Female Mizoram University PhD Mizoram University 2023  
35 54292 Ms. Jyotishmita Kalita Female Gauhati University PhD Gauhati University 2020  
Waiting list Candidate
1 54244 Dr. Rajasekar S P Male Government Arts College for Women, Nilakottai Associate Professor Pondicherry University 2004 30/09/2020
2 54033 Mr. Subhash Krishnan Male K. J. Somaiya College of Science and Commerce Associate Professor University of Mumbai 1990  
3 53962 Dr Ranjit Kumar Misra Male Darrang College,Tezpur Asso.Prof. Msc 1991 05/06/2007
4 54275 Ms. Dimple Rani Female Panjab University Ph.D. Panjab University 2019  
5 54273 Mr Subham Name Patra Male Ramkrishna mission Vivekananda Educational and Research Institute MSc Students Ramakrishna Mission Vivekananda Educational and Research Institute Appeared  
6 53999 Mr. Jyotishko Sarkar Male Jadavpur University Msc Student Jadavpur University Appeared  
7 54108 Ms Priyanka Dutta Female Jadavpur university MSc student Jadavpur university    
8 54272 Mr. Suman Prasad Goswami Male Ramakrishna Mission Vivekananda Centenary College Student Ramakrishna Mission Vivekananda Centenary College 2024  
9 53995 Mr. Raktim Ray Male Jadavpur University MSc Student Jadavpur University Appeared  
10 54066 Mr Subhamay Panda Male Visva-Bharati University Msc Student   Appeared  
11 54277 Mr. Debasis Sahoo Male NIT RAIPUR MSc NIT RAIPUR 2024  
12 54268 Ms. Marisha Singh Female National Institute of Technology Raipur Msc. Student National Institute of Technology, Raipur 2024  
13 54097 Mrs Neelam Kanwar Female Central University Of Rajasthan Int Msc Bed Student Central University Of Rajasthan Appeared  

 

 

How to Reach: 

Connectivity to Gauhati University:

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: 

mala

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0