Linear Algebra, Real Analysis and Topology (2023)

Convener(s)

 
Name: Dr. G.P. Youvaraj Dr. R. Ratha Jeyalakshmi Dr. R. Gurusamy Mrs. S. Vetriselvi
Mailing Address: Professor, Director & Head (Rtd)
Ramanujan Institute for Advanced Study in Mathematics,
University of Madras, Chennai-600005, Tamil Nadu

Associate Professor & Head
Department of Mathematics, Mepco Schlenk Engineering College (Autonomous), Sivakasi - 626005, Tamil Nadu

 Assistant Professor
Department of Mathematics, Mepco Schlenk Engineering College (Autonomous), Sivakasi - 626005, Tamil Nadu		 Assistant Professor
Department of Mathematics, Mepco Schlenk Engineering College (Autonomous), Sivakasi - 626005, Tamil Nadu
Email: youvarajgp at yahoo.com rratha at mepcoeng.ac.in rgurusamy at mepcoeng.ac.in selvisophi95 at mepcoeng.ac.in

This Teachers’ Enrichment Workshop (TEW) is aimed primarily at mathematics teachers at the under graduate and post graduate levels. While research scholars in mathematics may also apply, they will be given lower preference in the selection. The sessions will be geared towards improving the understanding of the fundamental concepts and results in Linear Algebra, Real Analysis and Topology. The workshop will be an intensive one and only those who are willing to actively participate and to get their hands dirty by solving problems need to apply.

Dates: 

Monday, November 27, 2023 - 19:00 to Saturday, December 2, 2023 - 19:00

Venue: 

Venue Address: 

 Department of Mathematics, Mepco Schlenk Engineering College (Autonomous), Sivakasi - 626005, Tamil Nadu

 

 

Venue State: 

Venue City: 

PIN: 

626005

Syllabus: 

 

Speaker Affiliation Topic(s) Number of lecture hours Number of tutorial hours
Dr. Arindama Singh IIT Madras Linear Algebra:-Vector spaces and subspaces, Linear independence, Basis and dimension, Row, Column spaces, Linear transformations and their matrix representations, Algebra of linear transformations, Change of basis, Eigenvalues and eigenvectors, Similarity transformations, Diagonalizable operators, Jordan canonical form, Inner  product spaces, Gram- Schmidt orthogonalization process, Normal, Self-adjoint and unitary operators, Spectral theorem for normal operators, Singular Value decomposition. 9 2 (conduct) +2 (assist)
Dr. S. Ponnusamy IIT Madras Real Analysis :-Countable and Uncountable sets, LUB axiom, Archimedean property, Sequence and Series, Convergence, Limsup, Liminf, Bolzano-Weierstrass theorem, Heine-Borel theorem, Continuity, Uniform continuity, Differentiability, Mean value theorem, Riemann integral and properties, Pointwise and Uniform convergence of sequence and series of functions, Existence continuous but nowhere differentiable functions. 9 2 (conduct) +2 (assist)
Dr. G. P. Youvaraj RIASM,Chennai Topology :-Basic concepts from Metric Spaces, Topological spaces, bases, subbases, subspace topology, order topology, product topology, quotient topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma, Tietz’s Extension Theorem, Tychonoff Theorem. 9 2 (conduct) +2 (assist)

 

 References:
        1. George F. Simmons, “Introduction to Topology and Modern Analysis”, Krieger Publishing Company, Reprint, 2003.
        2. James R. Munkres “Topology”, Pearson Education India, 2nd Edition, 2015.
        3. Kenneth M Hoffman and Ray Kunze, “Linear Algebra”, Prentice Hall of India, 2nd Edition, 2015.
        4. Robert G. Bartle and Donald R. Sherbert, “Introduction to Real Analysis”, Wiley, 4th Edition, 2011.
        5. Strang G., “Linear Algebra and its applications”, Cengage Learning, 15th Reprint, 2014.
        6. Walter    Rudin,    “Principles    of    Mathematical    Analysis”,    McGraw    Hill Education, 3rd Edition, 2017.
        7. William F. Trench, “Introduction to real analysis”, Pearson, 2002.

 

Time Table: 

Time

09.30
to
11.00

Lecture

 

11.15
to
12.45

Lecture

 

14.00
to
15.30

Lecture

 

15.45
to
16.45
Tutorial

 

Mon

Nov 27th

AS

 

SP

L

GPY

 

AS & SP

S

Tue

Nov 28th

SP

T

GPY

U

AS

T

SP& GPY

N

Wed

Nov 29th

GPY

E

AS

N

SP

E

GPY & AS

A

Thu

Nov 30th

GPY

A

AS

C

SP

A

AS & SP

C

Fri

Dec 1st

AS

 

SP

H

GPY

 

SP & GPY

K

Sat

Dec 2nd

SP

 

GPY

 

AS

 

GPY & AS

S

AS    - Arindama Singh - 9 lecture hours + 4 tutorial hours
SP    - S.Ponnusamy -9 lecture hours + 4 tutorial hours
GPY  - G. P. Youvaraj- 9 lecture hours + 4 tutorial hours

 Note: Tutorials will be conducted by one speaker and will be assisted by another speaker.

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. Deg. Date
1 51741 Mrs. Sankari Alias Deepa Female Rajapalayam Rajus' College Asst. Professor A.K.D.R Womens College 2015  
2 51818 Dr. Anantha Kumar Ramasamy Male Mepco Schlenk Engineering College(Autonomous), Sivakasi Asst.Prof. (sr.G) Madurai kamaraj University 2005 25 Sep 14
3 51887 Ms. Narmatha B Female Ayya Nadar Janaki Ammal College (Autonomous) M.Sc Student Ayya Nadar Janaki Ammal College, Sivakasi 2023  
4 51909 Mr. Dinesh Kumar Male Kalasalingam Academy of Research and Education Assistant Professor Kerala University, Karyavattom Campus 2013  
5 51949 Ms. R. Muruga Jothi Female Government arts and science college Guest lecturer SRI S. R. N. M college, Sattur 2010  
6 52032 Dr. Anto A. M Male St. Albert's College (Autonomous), Kochi, Kerala, India. Assistant Professor Scott Christian College, Nagercoil 2010 7 Mar 18
7 52199 Dr. Muthuperumal Subramanian Male K RAMAKRISHNAN COLLEGE OF ENGINEERING ASSOCIATE PROFESSOR UNIVERSITY OF MADRAS 2003 20 Oct 21
8 52335 Mr. Manimaran Alias Gopi Male Rajapalayam Rajus College Madurai Kamaraj College Madurai Kamaraj University / M.Sc 2014  
9 52379 Dr. Ramesh Ramasamy Male Dr. Mahalingam College of Engineering and Technology Assistant Professor Bharathiyar 2008 19 Mar 14
10 52380 Mr. Muthukumar T Male Dr. Mahalingam College of Engineering and Technology Assistant Professor Bharathiyar 2012  
11 52382 Mr. Marikannan G Male Lakshmi Ammal Polytechnic College Lecturer Sri Kaliswari College, Sivakasi 2016  
12 52601 Ms. Deepa V Female G.Venkataswamy Naidu College MSc Student G.Venkataswamy Naidu College, Kovilpatti    
13 52759 Dr. Selva Lakshmi P Female Syed Hameedha Arts and Science College Assistant Professor Ayya Nadar janaki Ammal College 2008 9 Apr 19
14 52913 Ms. Kavitha S Female The Standard Fireworks Rajaratnam College for Women, Sivakasi Assistant Professor M.Sc Mathematics 2019  
15 52929 Dr. S. Maharasi Female Sri parasakthi College for Women Assistant Professor Holy Cross College 2009 7 Jun 17
16 53059 Mr. Ganesh S Male Guru Nanak College Assistant Professor University of Madras 2011  
17 53116 Mr. Venkadesh M Male Mepco Schlenk Engineering College PhD Sourashtra College 2017  
18 53418 Mr. Saravanakumar Dhanabal Male MSS Wakf Board College, Madurai Assistant Professor Madurai Kamaraj University 2006 20 Jan 15
19 53536 Prof. S. Murugeswari Female A.K.D.Dharmaraja Women's College Assistant professor SRNM College,Sattur 2020  
20 53580 Mr. Packia Raj L Male J.P College of Arts ans Science,College ,www.msuniv.ac.inManonmaniam Sundaranar University Assistant Professor LOYOLA COLLEGE CHENNAI 2007 27 Nov 17
21 53600 Mrs. Rengalakshmi K Female The Standard Fireworks Rajaratnam College For Women Research Scholar The Standard Fireworks Rajaratnam College For Women 2020  
22 53656 Mrs. Akila Saravanakumar Female The Standard Fireworks Rajaratnam College for Women, Sivakasi Assistant Professor Mother Teresa University 2007  
23 53660 Dr. Rajalakshmi J Female JP College of Arts and Science Assistant Professor Ayya Nadar Janaki Ammal College, Sivaksai 2018 25 Apr 23
24 53695 Dr. Ganesh Priya B Female Mepco Schlenk Engineering College Assistant Professor Madurai Kamaraj University 2008 13 Sep 09
25 53709 Prof. R. Muthu Lakshmi Female A.K.D.Dharmaraja Women's College Assistant professor Rajapalayam Rajus' college 2020  
26 53712 Prof. B. Jagadeeswari Female Sri. S. Ramasamy Naidu Memorial College, Sattur. Assistant Professor M. Sc 2013  
27 53737 Mr. Bharatha K Male St Philomena's College Assistant Professor University of Mysore 2015 19 Mar 19
28 51986 Ms. Deepshika A Female Ayya Nadar Janaki Ammal College PhD Ayya Nadar Janaki Ammal College 2022 25 May 23
29 53592 Mrs. Kaleeswari P Female VYASA ARTS AND SCIENCE WOMEN'S COLLEGE ASSISTANT PROFESSOR AYYA NADAR JANAKI AMMAL COLLEGE, SIVAKASI. 2013  
30 51975 Mr. Vadivel P Male Excel Engineering College (Autonomous) Assistant Professor M. Sc 2010  
31 52012 Dr. Arulprakasam Ranganathan Male SRM Institute of Science and Technology, Kattankulathur Assistant professor Thiruvalluvar University 2005  
32 51819 Dr. Rajesh Kannan Alagarsamy Male Mepco Schlenk Engineering College (Autonomous), Sivakasi Associate Professor M.Sc 2001 3 Oct 20
33 52024 Dr Perumal Ramachandran Male SRM Institute of Science and Technology, Kattankulathur Assistant professor Bharathiar 2005  
34 52010 Dr. S Athithan Male SRM institute of Science and Technology, Kattankulathur-603203 Assistant Professor University of Madras 2009 11 Jan 16
35 53694 Ms. Sakthi S Female Syed hameedha arts and science college. Assistant professor Sethupathy gvt. Arts college. Ramanathapuram 2016  
Waiting List candidates 
1 51913 Dr. Chandra Guru Sekar R Male Mepco Schlenk Engineering College Asst. College of Engineering Guindy, Chennai 2014 24 Oct 17
2 53646 Ms. Amritha K Female ST.MARY'S COLLEGE (AUTONOMOUS) M.Sc Student ST. MARY'S COLLEGE (AUTONOMOUS) 2023  
3 51979 Mr Santhoshkannan V Male Excel Engineering College (AUTONOMOUS ) Assistant Professor M. Sc. 2021  
4 51954 Ms. Mahalakshmi M Female Ayya Nadar Janaki Ammal College PhD Scholar Ayya Nadar Janaki Ammal College / M.Sc. 2021 29 Mar 22
5 51761 Ms. Vaishnavi K Kumar Female Anna university M.Sc Anna university, CEG, CHENNAI 2019  

How to Reach: 

TBA

School Short Name: 

larat

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0