TEW Real Analysis, Algebra and Linear Algebra (2019)

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Venue: Dibrugarh University,  Dibrugarh, Assam
Date:  30th, Sep 2019 to 5th, Oct 2019

 

School Convener(s)

Name Dr Ankur Bharali Dr Palash Dutta
Mailing Address

Department of Mathematics
Dibrugarh University
Assam-786004

Department of Mathematics
Dibrugarh University
Assam-786004

 


 Speakers with their affiliations:

Name of the speaker

Position

Affiliation

Bhaba Kumar Sarma Professor Department of Mathematics
IIT Guwahati, Assam-781039
Tazid Ali Professor Department of Mathematics
Dibrugarh University, Assam-786004
Surajit Borkotokey Professor Department of Mathematics
Dibrugarh University, Assam-786004

 

List of tutors:

Name of the tutor

Position

Affiliation / official postal address

Dr. Ankur Bharali

Associate Professor

Department of Mathematics
Dibrugarh University, Assam-786004

Dr. Palash Dutta

Assistant Professor

Department of Mathematics
Dibrugarh University, Assam-786004

Dhrubajit Choudhury

Assistant Professor

Department of Mathematics
Dibrugarh University, Assam-786004

 


 Syllabus:  

The topics covered covered by Speakers

Name of the Speaker with affiliation No.of Lectures Detailed Syllabus
Prof. S. Borkotokey
Dibrugarh University 
8 Finite, countable and uncountable sets, ℝ as complete ordered field, Sequences and their convergence, Continuous functions and their properties.
Prof. Tazid Ali
Dibrugarh University 
8 Groups, Subgroups, Quotient groups, Action of groups on set, Class equations, Sylow theorems and applications.
Prof. B. K. Sarma
IIT Guwahati
8 Vector space, linearly independent, linear span, basis, linear transformation, eigenvalues and eigenvectors, diagonalization.

 

  • Lectures by S. Borkotokey, Dibrugarh University

    • In the first two lectures the notions of countable and uncountable sets were introduced. Suitable examples were discussed and the participants were also asked to give their own examples. Then ℝ as complete ordered field was introduced and different properties were discussed. In the next two lectures the notion of sequence and their convergence was discussed. Sufficient examples were discussed to drive home the concepts. The next two lectures were devoted to the other properties of sequences placing Real sequences as the central focal point of discussion. In the last two classes the notion of continuous functions and their properties were discussed with many examples and exercises.

  • Lectures by Tazid Ali, Dibrugarh University

    • In the first two lectures the notion of symmetry of different objects was introduced to construct group structures. Suitable examples were discussed and the participants were also asked to give their own examples. Then gradually the notion of abstract idea of group was introduced. In the next two classes, different notions like subgroup, normal subgroup, quotient group were discussed with many examples. The notion of cyclic group was deliberated at length and different properties of cyclic group were discussed. In the next two lectures the notion of group action was introduced. Then the notion of conjugacy relation in a group was discussed. How the conjugacy relation introduces an equivalence relation and defines the conjugacy classed were elaborated. Sufficient examples were discussed to drive home the concepts. In the last two classes Sylow's three theorems were discussed one by one. Many exercises and related applications of the three theorems were solved.

  • Lectures by B. K. Sarma, IIT Guwahati

    • In the first two lectures, the basic notions of Vector spaces, subspaces, linear span, linearly dependent and independent sets, basis and dimension were discussed with plenty of examples and deriving the important results. In the next two lectures, linear transformations and their matrices were discussed at length with many examples and exercises. The next two lectures were devoted for discussing eigenvalues and eigenvectors of linear operators on finite dimensional vector spaces, placing diagonalizibility as the central focal point of discussion. The last two lectures were devoted to discuss inner products on vector spaces leading to the spectral theorem for normal operators on finite dimensional inner product spaces.

 


 Time Table
 

Day Date Lecture 1
9:30-10:30
10:35
to
10:55
Lecture 2
11:00-12:00
Lecture 3
12:00-1:00
1:00
to
2:20
Lecture 4
2:30-3:30
3:35
to
3:55
Discussion/
Tutorial
4:00-5:00
5:05
to
5:30
Mon 30/09 TA Tea SBK BKS L
u
n
c
h
TA  Tea AB, PD T
e
a

&

S
n
a
c
k
s

Tues 01/10 BKS TA SBK BKS PD, DC
Wed 02/10 SBK BKS TA SBK AB, DC
Thu 03/10 BKS TA SBK BKS AB, DC
Fri 04/10 TA SBK BKS TA AB, DC
Sat 05/10 SBK BKS TA SBK AB, DC

Full forms for the abbreviations of speakers and tutors:

  • BKS: B. K. Sarma
  • TA: Tazid Ali
  • SBK: Surajit Borkotokey
  • AB: Ankur Bharali
  • PD: Palash Dutta
  • DC: Dhrubajit Choudhury

List of actual Participants

Sr SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./M.A. Year of Passing M.Sc./ M.A Ph.D. Deg Date
1 27221 Mrs Smita Sahu Female Dibru college Assistant professor Dibrugarh University 2000  
2 28671 Ms. Pranami Phukan Female North eastern Regional Institute of Science and Technology PhD North eastern Regional Institute of Science and Technology 2017  
3 28672 Ms. Jyoti Saikia Female North eastern Regional Institute of Science and Technology PhD North eastern Regional Institute of Science and Technology 2018  
4 28758 Ms. Manjuri Dutta Female North eastern Regional Institute of Science and Technology PhD North eastern Regional Institute of Science and Technology 2018  
5 28805 Mr. Basanta Borah Male Majuli College Asst. Prof. 65 1999  
6 28980 Mr. Surajit Dutta Male C N B College, Bokakhat Asst. Prof. Dibrugarh university. 1994  
7 28988 Mr Amir Barhoi Male Duliajan College Asst. Prof. Dibrugarh 2014  
8 28991 Mr Hrishikesh Boruah Male Duliajan College Asst. Prof. Dibrugarh 2004 07/05/2013
9 29039 Dr. Nisha Gohain Female Directorate of Open and Distance LearningDibrugarh University Asst. Prof. Dibrugarh University 2011 24/10/2016
10 29464 Mr. Birinchi Kumar Boruah Male Dibrugarh University PhD Tezpur University 2015  
11 29532 Mrs. Dimpee Baruah Female MAJULI COLLEGE Asst. Prof. Dibrugarh University 2013  
12 29676 Mr. Nazeer Ansari Male North eastern Regional Institute of Science and Technology guest lecturer Tezpur university 2015  
13 29708 Mr. Amitav Doley Male DHSK College Asst. Prof. Dibrugarh University 2011  
14 29774 Mr. Champak Kr. Neog Male North Eastern Regional Institute of Science and Technology PhD Tezpur University 2016  
15 29844 Mr. Lham Tashi Male North Eastern Regional Institute of Science and Technology PhD Rajiv Gandhi University 2017  
16 29958 Dr Dr Rupam Kr Kr Gogoi Male Sibsagar College, Joysagar Asst. Professor Gauhati University 1996 16/06/2015
17 29998 Dr. Ananta Kumar Dutta Male DHSK College Associate Professor Guwahati University 1993 12/11/2018
18 30025 Mr Raju Kumar Phukan Male JIST,JORHAT Asst professor Gauhati University,guwahati 2002  
19 30029 Mr. Mukul Buragohain Male Digboi college Asst. Prof. Dibrugarh university 1997  
20 30106 Mr. Mayzul Alom Hussain Male Rajiv Gandhi University Research Scholar GAUHATI UNIVERSITY 2014  
21 30124 Dr. Soumendra Goala Male Dibrugarh University Ph. D. Tezpur University 2013 02/09/2019
22 30131 Mr. Abhigyan Mahanta Male Dibrugarh University PhD Student Dibrugarh University 2017  
23 30155 Dr. Devanjan Hazarika Male DHSK College Asst. Prof. University of Delhi 1993 14/12/2017
24 30169 Mr. Madhurya Hazarika Male Dibrugarh University PhD Dibrugarh University 2017  
25 30170 Mr. Jibonjyoti Buragohain Male Pandu College PhD Dibrugarh University 2017  
26 30172 Dr. Debozani Borgohain Female Dibrugarh University Asst. Prof. Gauhati university 2010 21/07/2017
27 30173 Ms. Parishmita Boruah Female Dibrugarh University PhD Tezpur University 2017  
28 30185 Mr. Joydeep Borah Male Dibrugarh University PhD M.Sc. 2016  
29 30188 Mr Bijit Bora Male Dibrugarh University M.Phil Student Dibrugarh University 2018  
30 - Mr. Ritu Dutta Male Dibrugarh University Research Scholar      
31 - Mr. Idweep Jyoti Gogoi Male Dibrugarh University Research Scholar      
32 - Mr. Rubul Moran Male Dibrugarh University Research Scholar      
33 - Mr. Budheswar Deka Male Dibrugarh University Research Scholar      
34 - Mr. Hirak Jyoti Dehingia Male Dibrugarh University Research Scholar      

 


How to reach

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