TEW - Linear Algebra and Calculus on Rn

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Venue: Institute of Mathematical Sciences,  Chennai, Tamil Nadu
Date:  20th, May 2019 to 25th, May 2019

 

School Convener(s)

Name S. Gun P. Rath
Mailing Address Institute of Mathematical Sciences
C I T Campus
Chennai 600 113
Chennai Mathematical Institute
H1, SIPCOT IT Park, Siruseri
Kelambakkam 603 103

 


The list of actual speakers is given below

Sl. No.

Name of the Speakers/Tutors

Affiliations

1

Prof. Ajit Bhand

IISER, Bhopal

2

Prof. Sinnou David

Paris, VI

3

Prof. Anirban Mukhopadhyay

IMSc, Chennai

4

Prof. Purusottam Rath

CMI, Chennai

5

Prof. Parameswaran Sankaran

IMSc, Chennai

6

Ms. Jyothsnaa Sivaraman

IMSc, Chennai

7

Mr. Biplab Paul

IMSc, Chennai

 


 Syllabus:

Exact Portion of the Syllabus covered by each Speaker

Sl. No.

Name of the Speakers

Syllabus Covered

1

Prof. Ajit Bhand

Taylor’s formula; Inverse function Theorem; Implicit function Theorem;

2

Prof. Sinnou David

Bilinear forms, Matrix representations; Quadratic forms, Discriminants; Quadratic forms over complex numbers; Quadratic forms over real numbers (Sylvester’ law).

3

Prof. Anirban Mukhopadhyay

Differentiable maps, Basic Properties; Smooth functions, Diffeomorphisms , Examples; Partial Derivatives and Chain Rule; Equality of mixed partial derivatives; Jacobian Matrix, Mean Value Theorem.

4

Prof. Purusottam Rath

Rank theorem; Introduction to Bump functions.

5

Prof. Parameswaran Sankaran

Vector spaces, Bases; Linear transformations; Eigen values and eigen vectors; Diagonalisation and Triangularisation of linear operators; Determinants of linear transformations and their elementary properties.

 


 Time Table

Time

09:45 hrs–11:15 hrs

 

11:30 hrs-13:00 hrs

 

14:00 hrs-15:00 hrs

 

15:15 hrs-16:15 hrs

 

Mon 20th

PS L1

 

AM L1

L

AM L2

 

BP T1

S

Tue 21st

PS L2

T

AM L3

U

SD L1

T

BP/JS T3

N

Wed 22nd

PS L3

E

AM L4

N

SD L2

E

PS T1

A

Thu 23rd

AB L1

A

SD L3

C

AM L5

A

JS T3

C

Fri 24th

AB L2

 

SD L4

H

SD L5

 

AB T1

K

Sat 25th

AB L3

 

PR L1

 

PR L2

 

Discussion

S

AB= Ajit Bhand

BP= Biplab Paul

SD = S. David

AM = A. Mukhopadhyay

PR= P. Rath

PS= P. Sankaran

JS = J. Sivaraman

Ln = Lecture number n, Tn = Tutorial number n


List of actual Participants

Sr.n SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Ph.D. Degree Date
1 23862 Ms. Subbulakshmi P Female Stella Maris College Assistant Professor M.Sc.  
2 23926 Dr. Manikandan K Male Guru Nanak College Assistant Professor Madras Christian College, Chennai. M.Sc 05/07/2017
3 24087 Mr. Hari Krishnan T Male Guru Nanak College Assistant Professor Presidency College  
4 24123 Dr. J Kannan Male Ayya Nadar Janaki Ammal College(Autonomous) Assistant Professor Bharathidasan University, Trichy 01/12/2018
5 24124 Dr. Easwaramoorthy D. Male Vellore Institute of Technology Assistant Professor Bharathidasan University, Tiruchirappalli - M.Sc. 11/10/2013
6 24148 Mr Gnanam Mahesh Kalakaoi Male A.M.jain college assistant professor M.Sc  
7 24332 Mrs Rega Ramesh Babu Female Bharathidasan University Phd Alagappa University  
8 24352 Mr Muniyasamy S Male Thiyagi Dharmakkan Amirtham College Of Arts & Science Assistant Professor Alagappa University/ Syed Hameedha Arts And Science College., Kilakarai  
9 24355 Mr Muthukumar Manoharan Male R.M.K ENGINEERING COLLEGE Assistant Professor M.sc (Mathematics)  
10 24447 Mr Murugan M Male A M Jain College, Asst. Professor University of madras  
11 24722 Mr. Arunraj P R Male Pondicherry University M.Sc. Pondicherry University  
12 25510 Dr. Devipriya Ganeshan Female Stella Maris college Assistant professor MSc 18/01/2011
13 25799 Ms Revathi Gk Female Vellore Institute of Technology, Chennai Assistant Professor Sri Sarada College for women, Salem 9, TamilNadu 03/02/2013
14 26166 Ms Ramya Selvaraj Female Srinivasa Ramanujan Centre, SASTRA Deemed to be University Assistant Professor BHARATHIDASAN  
15 27009 Mr. Thyagarajan M Male Agurchand Manmull Jain College Assistant Professor Anna University  
16 27726 Dr. Suresh Kumar M Male The Gandhigram Rural Institute (Deemed to be University) Assistant Professor Manonmaniam Sundaranar University 10/11/2018
17 27893 Dr Ramasamy Ct Male Alagappa Government Arts College Assistant Professor Alagappa University 28/01/2012
18 28032 Dr.. Jayaraman Boobalan Male Manbumigu Dr.Puratchithalaivar M.G.R.Government Arts and Science College Assistant Professor Annamalai University 27/04/2017
19 28090 Ms Hannah Joselin Female Anna University Teaching Fellow Madurai Kamaraj University  
20 28129 Mr. Tamil Selvan Male PSG College of Arts & Science Assistant Professor PSG College of Arts & Science  
21 28216 Mr. Devendran M Male Anna University, CEG Campus. TEACHING FELLOW Ramanujan Institute for Advanced Study in Mathematics  
22 28283 Ms. Taruni S Female IISER PUNE Teaching Assistant Pondicherry University  
23 28285 Dr. Uma Maheswari C Female Ramanujan Institute for Advanced Study in Mathematics, University of Madras Assistant Professor University of Madras 28/02/2011
24 28379 Mr Vignesh Perumal Male Patrician college of arts and science Asst. Professor Manomaniam Sundaranar University  
25   JOYAL ROY P   ST. JOSEPH’S COLLEGE, TRICHY      
26   RAJAGOPAL S   ST JOSEPH COLLEGE OF ARTS AND SCIENCE      
27   RAJESHWARI S   ST JOSEPH COLLEGE OF ARTS AND SCIENCE      
28   SUNDARAPANDIAN. R   PONIDCHERRY UNIVERSITY      
29   THILAKRAJ E   GURU NANAK COLLEGE      

 

 


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