Linear Algebra and Calculus on Rn

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
Email:  sanoli at imsc.res.in  rath at cmi.ac.in

 TEWs are meant only for the local teachers and therefore no travel and other hospitalities will be provided to the outstation participants

Dates: 

Monday, May 20, 2019 - 09:00 to Saturday, May 25, 2019 - 18:45

Venue: 

Venue Address: 

Institute of Mathematical Sciences, Chennai

Venue State: 

Venue City: 

PIN: 

600113

Chrono Order: 

309

Syllabus: 

This Teachers’ Enrichment Workshop is especially meant for mathematics teachers of arts and science colleges in and around Chennai. The goal of this workshop to introduce and indicate the interplay between linear algebra and calculus of several variables. Then we intend to introduce basics of bilinear forms,especially over real numbers. Finally, we cover inverse and implicit function theorems finishing with the rank theorem which are foundational to numerous branches of mathematics. The workshop will be an intensive one and only those who are willing to work hard and actively participate are encouraged to apply.

Speaker Affiliation Topic(s) Number of lecture hours Number of tutorial hours Detailed Syllabus
S. Gun IMSc Bilinear forms 5 4
  • Bilinear forms, Matrix representations;
  • Quadratic forms, Discriminants;
  • Quadratic forms over complex numbers;
  • Quadratic forms over real numbers (Sylvester’ law).
A. Mukhopadhyay IMSc Introduction to Calculus on Rn 6.5 3
  • Differentiable maps, Basic Properties;
  • Smooth functions, Diffeomorphisms , Examples;
  • Partial Derivatives and Chain Rule;
  • Equality of mixed partial derivatives;
  • Jacobian Matrix, Mean Value Theorem.
P. Rath CMI Inverse and Implicit function Theorems 6.5 3
  • Taylor’s formula;
  • Inverse function Theorem;
  • Implicit function Theorem;
  • Rank theorem;
  • Introduction to Bump functions.
P. Sankaran IMSc Vector spaces and Linear Transformations 6 2
  • Vector spaces, Bases;
  • Linear transformations;
  • Eigen values and eigen vectors;
  • Diagonalisation and Triangularisation of linear operators;
  • Determinants of linear transformations and their elementary properties.

 

Reference books :

  • Spivak : Calculus on Manifolds;
  • J. Taylor : Foundations of Analysis;
  • Herstein : Topics in Algebra;
  • Hoffman and Kunze : Linear algebra.

 

 

 

Time Table: 

Time 09:45–11:15   11:30 to 13:00   14:00 to 15:00   15:15 to 16:15  
Mon 20th PS L1   AM L1 L AM L2   AM/PS T1 S
Tue 21st PS L2 T AM L3 U SG L1 T SG/PS T2 N
Wed 22nd PS L3 E AM L4 N SG L2 E SG/AM T3 A
Thu 23rd PS L4 A PR L1 C AM L5 A AM/PR T4 C
Fri 24th PR L2   SG L3 H PR L3   SG/PR T5 K
Sat 25th PR L4   SG L4   PR L5   SG/PR T6 S

SG = S. Gun, AM = A. Mukhopadhyay, PR= P. Rath, PS= P. Sankaran
Ln = Lecture number n, Tn = Tutorial number n
 

Selected Applicants: 

TEWs are meant only for the local teachers  neither travel nor accommodation support will be provided to the outstation participants.

Sr.n SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Ph.D. Degree Date
1 23758 Ms Bhushna Sekar Female Manonmaniam Sundaranar University M.Phil Scholar Bharathidasan University  
2 23778 Dr Kiran Virivinti Male Osmania Assistant Professor Osmania 31/05/2016
3 23809 Ms Kavitha Chinnathambi Female Thiruvalluvar Government Arts College M.phil NKR Government Arts For Women  
4 23829 Ms. Rincy Susan Raju Female Department Of Mathematics, Karyavattom Campus Post Graduation Completed Department Of Mathematics, University Of Kerala.  
5 23862 Ms. Subbulakshmi P Female Stella Maris College Assistant Professor M.Sc.  
6 23903 Dr. Kavaskar T Male Central University of Tamil Nadu Assistant Professor Annamalai University 06/08/2011
7 23926 Dr. Manikandan K Male Guru Nanak College Assistant Professor Madras Christian College, Chennai. M.Sc 05/07/2017
8 23936 Dr. Rajendran Subash Moorthy Male Amrita Vishwa Vidyapeetham Assistant professor The American college (Madurai Kamaraj University) 22/11/2014
9 24033 Dr. Srinivasa Kumar Vajha Male JNTUH College of Engineering Assistant Professor Osmania University 29/05/2013
10 24087 Mr. Hari Krishnan T Male Guru Nanak College Assistant Professor Presidency College  
11 24123 Dr. J Kannan Male Ayya Nadar Janaki Ammal College(Autonomous) Assistant Professor Bharathidasan University, Trichy 01/12/2018
12 24124 Dr. Easwaramoorthy D. Male Vellore Institute of Technology Assistant Professor Bharathidasan University, Tiruchirappalli - M.Sc. 11/10/2013
13 24148 Mr Gnanam Mahesh Kalakaoi Male A.M.jain college assistant professor M.Sc  
14 24274 Prof. Indhira K Female VIT UNIVERSITY Associate Professor PSG COLLEGE OF ARTS AND SCIENCE, COIMBATORE 29/10/2011
15 24308 Dr. Virendra Kumar Male Central University Of Tamil Nadu Thiruvarur Assistant Professor Hnb Garhwal University Srinagar (GARHWAL) 26/07/2013
16 24332 Mrs Rega Ramesh Babu Female Bharathidasan University Phd Alagappa University  
17 24352 Mr Muniyasamy S Male Thiyagi Dharmakkan Amirtham College Of Arts & Science Assistant Professor Alagappa University/ Syed Hameedha Arts And Science College., Kilakarai  
18 24355 Mr Muthukumar Manoharan Male R.M.K ENGINEERING COLLEGE Assistant Professor M.sc (Mathematics)  
19 24418 Dr Jamal Fathima Female sadakathullah Appa College Assistant Professor Manonmaniam Sundaranar University  
20 24447 Mr Murugan M Male A M Jain College, Asst. Professor University of madras  
21 24667 Dr Mallika A Female Sadakathullah Appa College (Autonomous) Assistant Professor Manonmaniam Sundaranar University 13/10/2017
22 24722 Mr. Arunraj P R Male Pondicherry University M.Sc. Pondicherry University  
23 24730 Mr Kalikambar Gnanaprakasam Male Mohamed Sathak college of Arts and Science Assistant Professor Madras University / D.B.Jain College of Arts and Science / M.Sc  
24 24733 Mr Tamilselvan Ganesan Male Mohamed Sathak college of Arts and Science Assistant Professor Madras University / M.Sc  
25 24980 Dr Nirmalkumar R Male Sri Ramakrishna Mission Vidyalaya College Of Arts And Science Assistant Professor Of Mathematics Sri Ramakrishna Mission Vidyalaya College Of Arts And Science , Bharathiar University 07/12/2018
26 25281 Ms Divyadevi Thangaraj Female National Institute Of Technology PhD Student Bharathidasan University, Tiruchirappalli  
27 25510 Dr. Devipriya Ganeshan Female Stella Maris college Assistant professor MSc 18/01/2011
28 25799 Ms Revathi Gk Female Vellore Institute of Technology, Chennai Assistant Professor Sri Sarada College for women, Salem 9, TamilNadu 03/02/2013
29 26166 Ms Ramya Selvaraj Female Srinivasa Ramanujan Centre, SASTRA Deemed to be University Assistant Professor BHARATHIDASAN  
30 27009 Mr. Thyagarajan M Male Agurchand Manmull Jain College Assistant Professor Anna University  
31 27726 Dr. Suresh Kumar M Male The Gandhigram Rural Institute (Deemed to be University) Assistant Professor Manonmaniam Sundaranar University 10/11/2018
32 27885 Prof. Sudha K Female Shri Krishnaswamy College for Women Asst. Prof. Stella Maris College 28/09/2015
33 27893 Dr Ramasamy Ct Male Alagappa Government Arts College Assistant Professor Alagappa University 28/01/2012
34 27950 Mrs Niza N Female T K M College Of Arts And Science Assistant Professor University of Kerala  
35 28032 Dr.. Jayaraman Boobalan Male Manbumigu Dr.Puratchithalaivar M.G.R.Government Arts and Science College Assistant Professor Annamalai University 27/04/2017
36 28090 Ms Hannah Joselin Female Anna University Teaching Fellow Madurai Kamaraj University  
37 28129 Mr. Tamil Selvan Male PSG College of Arts & Science Assistant Professor PSG College of Arts & Science  
38 28216 Mr. Devendran M Male Anna University, CEG Campus. TEACHING FELLOW Ramanujan Institute for Advanced Study in Mathematics  
39 28283 Ms. Taruni S Female IISER PUNE Teaching Assistant Pondicherry University  
40 28285 Dr. Uma Maheswari C Female Ramanujan Institute for Advanced Study in Mathematics, University of Madras Assistant Professor University of Madras 28/02/2011
41 28379 Mr Vignesh Perumal Male Patrician college of arts and science Asst. Professor Manomaniam Sundaranar University  
42 28099 Dr. Raja Vellaisamy Male PSG College of Technology Assistant Professor Pondicherry Central University 15/02/2019

 

 

How to Reach: 

Click here

School Short Name: 

lacr

Last Date Application: 

Tuesday, April 30, 2019

School Type: 

TEW