TEW Linear Algebra & Multivariable Calculus (2019)

Error message

  • Notice: Undefined index: field in date_entity_metadata_struct_getter() (line 665 of /home/ncmath/public_html/sites/all/modules/date/date.module).
  • Notice: Undefined index: field in date_entity_metadata_struct_getter() (line 665 of /home/ncmath/public_html/sites/all/modules/date/date.module).
Venue: Mepco Schlenk Engineering College,  Sivakasi, Tamil Nadu
Date:  13th, May 2019 to 18th, May 2019

 

School Convener(s)

Name K.N Raghavan R.Ratha Jeyalakshmi
Mailing Address

Professor,
IMSc, C. I. T. Campus
Chennai 600 113

Head, Department of Mathematics,
Mepco  Schlenk Engineering College,
Sivakasi, Tamilnadu - 626005

 


 Speakers with their affiliations:

Name of the speaker

Position

Affiliation

Anirban Mukhopadhyay   IMSc, Chennai
K. N. Raghavan Professor IMSc, Chennai
S. Sundar   IMSc, Chennai

 


 Syllabus:  

The topics covered:

Anirban Mukhopadhyay

Differential forms, following chapter 10 of baby Rudin:

  • Definition, examples, basic form, standard presentation, addition and multiplication.

  • Differentiation of forms, examples, differentiation of product of forms.

  • Change of variables.

  • Transformation properties.

  • Oriented simplices and their boundaries.

  • Stokes’ theorem

  • Applications: Green’s theorem, Gauss’ theorem; gradient, divergence, and curl; area and volume computation.

 

K. N. Raghavan

Linear Algebra, following notes (https://www.imsc.res.in/~knr/past/linalg_ed.pdf) copies of which were distributed. Emphasis was laid on problem solving and the utility of raising questions. Much time was devoted to discussion of the exercise sets in the notes.

  • Row reduced echelon forms: existence and uniqueness, properties and uses.

  • Equality of row and column ranks; various spaces associated with a matrix and relations between them.

  • Solving linear equations; geometry of the solution set.

  • Orthogonal projections; approximate solution to an over-determined system of linear equations; application to the line of best fit.

  • Spectral theorem for real symmetric matrices; positive definite and semi-definite matrices.

  • Singular value decomposition.

 

S. Sundar

Multivariate Calculus

  • Basics of metric spaces, norms induced by inner products, Cauchy Schwarz inequality, equivalence of norms on finite dimensional vector spaces.

  • Derivative as a linear map, examples from first principles, chain rule, directional derivative and partial derivative, examples.

  • Sufficient condition for existence of total derivative, equality of mixed partial derivatives, Taylor’s theorem up to second order and applications to maxima and minima.

  • Diagonalising a symmetric operator, min max theorem, application to the proof of Sylvester’s criterion (for positive definiteness).

 


 Time Table


Time 09:30 to 11:00   11:15 to 12: 45   14:00 to15:30   15:45 to 16:45  
Mon 13th KNR T
E
A
SS L
U
N
C
H
AM T
E
A
Tutorials
(KNR & SS)
S
N
A
C
K
S
Tue 14th AM KNR SS Tutorials
(AM & SS)
Wed 15th KNR AM SS Tutorials
(KNR & SS)
Thur 16th KNR SS AM Tutorials
(SS & AM)
Fri 17th KNR AM AM Tutorials
(KNR & AM)
Sat 18th KNR AM KNR Tutorials
(AM & KNR)

  • KNR - K.N.Raghavan
  • AM - Anirban Mukhopadhyay
  • SS - S.Sundar

List of actual Participants

Sr. SID Full Name Gender Affiliation Position in College /Univ. Univ. / Instit. M.Sc./M.A. Year of Passing M.Sc./
M.A
Ph.D.
Deg

Date
1 23713 Mrs Mala P Female Kamaraj College of Engineering and Technology Assistant Professor Ayya Nadar Janaki Ammal College, Sivakasi

2008

 

2 23722 Dr Mallika A Female Sadakathullah Appa College (Autonomous) Assisistant Professor M.Sc

2010

10/13/2017

3 23741 Dr. Anantha Kumar Ramasamy Male MEPCO Schlenk Engineering College Assistant Professor Ayyanadar Janakiammal Collge(Autonomous), Sivakasi

2005

10/27/2014

4 23746 Dr M Palanivel Male Mepco Schlenk Engineering College (Autonomous) Assistant Professor Gandhigram Rural Institute Deemed University

2010

06/26/2016

5 23749 Dr. C Arun Kumar Male MEPCO SCHLENK ENGINEERING COLLEGE (Autonomous), SIVAKASI Assistant Professor JAMAL MOHAMED COLLEGE, TRICHY

2006

01/17/2014

6 23750 Dr. Lakshmanan Ramaraj Male MEPCO SCHLENK ENGINEERING COLLEGE (Autonomous), SIVAKASI Assistant Professor AYYA NADAR JANAKI AMMAL COLLEGE, SIVAKASI

 

09/24/2014

7 24042 Dr. Manimaran Thiruvudayan Male Ramco Institute of Technology
Rajapalayam
Associate Professor M.Sc

1996

19/08/2017

8 24164 Mrs. Vetri Selvi Female S.F.R. College For Women Assistant Professor S.F.R.College For Women, Sivakasi

1991

 

9 24309 Dr. Virendra Kumar Male CENTRAL UNIVERSITY OF TAMIL NADU THIRUVARUR Assistant Professor HNB GARHWAL UNIVERSITY SRINAGAR (GARHWAL)

2007

07/26/2013

10 24338 Mrs Rega Ramesh Babu Female BHARATHIDASAN UNIVERSITY PhD ALAGAPPA UNIVERSITY

2009

 

11 24367 Mrs Sankari Chandrasekaran Female A.V.V.M Sri Pushpam College (Autonomous) PhD Madurai Kamarajar University

2013

 

12 24400 Mrs. Geetha M Female Kamaraj college of Engg and Technology Assistant Professor VVV College for women

2007

 

13 24410 Dr Jamal Fathima Female Sadakathullah Appa College Assistant Professor Manonmaniam Sundaranar University

2010

 

14 24427 Dr T Kavaskar Male Central University of Tamil Nadu Assistant Professor Annamalai University

2005

08/06/2011

15 24443 Dr Renukadevi V Female Ayya Nadar Janaki Ammal College Asst. Prof. Kamaraj College, Thoothukudi

1998

06/06/2007

16 24451 Mr. Jeshua Rajan Male St. John's College Asst. Prof. St. John's College, Palayamkottai

2016

 

17 24546 Mrs Sankari Alias Deepa Female Rajapalayam rajus college Assistant professor A.k.D.R womens college

2015

 

18 24934 Mr. Vignesh K Male AYYA NADAR JANAKI AMMAL COLLEGE M.SC., STUDENT M.Sc.

Appeared / Awaiting Result

 

19 25246 Ms. P Vijaya Shanthi  Female Ayya Nadar Janaki Ammal College Ph.D Student MADURAI KAMARAJ UNIVERSITY

2015

 

20 25996 Mr. L. David Raj Kumar Male The American College Assistant Professor The American College

2006

 

21 26086 Dr. Abirami Subburaj Female Sri S Ramasamy Naidu Memorial College Assistant Professor Madurai Kamaraj University

2008

06/08/2018

22 26425 Mr Sowndrarajan Selvaraj Male Raja Doraisingam Government Arts College Asst. Professor IIT Madras

2011

 

23 26865 Mr Gnanasekaran S S Male MADURAI KAMARAJ UNIVERSITY   BHARATHIDASAN UNIVERSITY

2017

 

24 27008 Mr. Anandasrinivasan S Male The Madura College Assistant Professor The Madura College

2015

 

25 27019 Mr Manivannan P Male Mepco Schlenk Engineering College, Sivakasi Assistant Professor Bharathidasan University, Trichy

2007

 

26 27021 Mr. Rajesh Kannan Alagarsamy Male Mepco Schlenk Engineering College, Sivakasi Assistant Professor Madurai Kamaraj University, Madurai

2001

 

27 27088 Dr. Saravanakumar K  Male The Madura College Assistant Professor THE MADURA COLLEGE, TN

2011

23/02/2018

28 27362 Mrs. Muthumari U Female THE STANDARD FIREWORKS RAJARATNAM COLLEGE FOR WOMEN Asst. prof. Ayya Nadar Janaki Ammal College, Sivakasi

2010

 

29 27428 Ms Karthika Muthusamy Female Bannari Amman Institute of technology, sathyamangalam Asst. Prof P.K.R Arts College for Women

2013

 

30 27431 Dr Selvaraj Ganesan Male Ramco institute of Technology Asst. Prof Gandhigram Rural Insitute DU

2011

28/09/2017

31 27442 Mrs. Sathikala Subramanian Female Ramco Institute of Technology Associate Professor Madurai Kamaraj University

1995

19/02/2016

32 27452 Dr. I Rani Female Anna University Regional Campus -Tirunelveli Asst. Prof. Sarah Tucker College for Women

1994

01/23/2010

33 27469 Dr Kamatchi N Male KAMARAJ COLLEGE OF ENGINEERING AND TECHNOLOGY Asso. Prof. Ayya Nadar Janaki Ammal College, Sivakasi

2003

09/14/2013

34 27500 Dr Vennila  R   Kongu Engineering College    

 

 

35 27501 Mr. Selvaganesh T Male RAMCO INSTITUTE OF TECHNOLOGY Assistant Professor AYYA NADAR JANAKI AMMAL COLLEGE, SIVAKAI

2009

 

36 27519 Mrs. Subasini R Female Pollachi Institute of Engineering and Technology Assistant Professor NGM College M.Sc.,

2000

 

37 27528 Mrs Akila Saravanakumar Female The Standard Fireworks Rajaratnam College for Women Assistant Professor mother teresa university

2007

 

38 27530 Ms. G Petchiammal Female VHNSN COLLEGE (AUTONOMOUS) Assistant Professor MADURAI KAMARAJ UNIVERSITY

2012

 

39 27543 Dr. Chandra Guru Sekar R Male Mepco Schlenk Engineering College, Sivakasi Assistant Professor College of Engineering, Guindy

2014

10/24/2017

40 27622 Mrs Mydeen Bibi A Female The Standard Fireworks Rajaratnam College For Women Assistant Professor Lady Doak College, Madurai

2004

11/10/2013

41 27664 Dr. N. Annamalai Male Central University of Tamil Nadu Assistant Professor Bharathidasan University/ M.Sc

2011

02/26/2019

42 27765 Dr. Santhi P Female The Standard Fireworks Rajaratnam College for Women, Sivakasi Assistant Professor M.Sc

1996

23/06/2017

43 27772 Dr. K Pattabiraman Male Government Arts College(Autonomous) Assistant Professor Annamalai University

2004

11/11/2012

44 27791 Dr Karpagavalli Ramasamy Female Vidhyaa Giri College of Arts & Science Associate Professor M.Sc

2004

09/11/2015

45 27798 Dr. S. Kalai Selvi Female S.F.R. College For Women Assistant Professor Annamalai University

2004

11/11/2012

46 27807 Dr. Muthuselvi A Female The Standard Fireworks Rajaratnam College for Women Assitant Professor The Standard Fireworks Rajaratnam College for Women, Sivakasi

2013

24/08/2018

47 27823 Mrs Tamil Selvi Female Ayya Nadar Janaki Ammal College phD Ayya Nadar Janaki Ammal College, Sivakasi

2016

 

48 27829 Mrs Anandha Selvam Female The American college Assistant Professor Lady Doak college Madurai

1998

 

49 27992 Mr Subramanian Krishnamoorthy Male RAMCO INSTITUTE OF TECHNOLOGY Assistant Professor AYYA NADAR JANAKI AMMAL COLLEGE

2006

 

 


How to reach