Linear Algebra and its applications (2020)

INSA - NCM joint TEW

 Convener(s)
Name: Prof. Inder K. Rana Dr. Dilpreet Kaur (local organiser)
Mailing Address: Professor, Department of Mathematics
Indian Institute of Technology(IIT) Bombay
Main Gate Rd, IIT Area, Powai, Mumbai, Maharashtra 400076
Adjunct Faculty Member, Department of Mathematics
Indian Institute of Technology(IIT) Jodhpur
Assistant Professor, Department of Mathematics
Indian Institute of Technology(IIT) Jodhpur
NH 65, Surpura Bypass Rd,
Karwar, Rajasthan 342037
Email: ikrana at iitb.ac.in dilpreetkaur at iitj.ac.in

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

The Teachers Enrichment Workshop is conducted by the National Centre for Mathematics (NCM) to introduce college mathematics teachers to interesting topics in the basic subjects they teach at graduation level. This particular workshop aims to benefit teachers of different colleges in and around Rajasthan. Apart from lecture sessions there are one hour discussion sessions also which gives participants an opportunity to solve exercises and clear their queries.

Click here to download poster

Dates: 

Thursday, November 19, 2020 - 19:00 to Sunday, December 13, 2020 - 19:00

Venue: 

Venue Address: 

Indian Institute of Technology Jodhpur,
NH 65, Surpura
Bypass Rd, Karwar,
Rajasthan 342037

Venue City: 

PIN: 

342037

Chrono Order: 

366

Syllabus: 

 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Inder K. Rana, Professor

Indian Institute of Technology(IIT) Bombay.

6 hours

Vector Space : Definition and Examples, Linear Independence, basis and dimension, Cayley-Hamilton theorem and its applications, Diagonalisation. Some applications like google page

ranking.

Dr. Gaurav Bhatnagar,

Associate Professor,

Indian Institute of Technology(IIT) Jodhpur.

6 hours

Applications of linear algebra in image processing: Singular Value decomposition, Principal component analysis.

Dr. Anupam Singh,

Associate Professor

Indian Institute of Science Education and Research(IISER) Pune.

6 hours

Primary decomposition Theorem , Canonical forms: Jordan and Rational, applications of canonical forms, Spectral theorem for normal operators, Self-adjoint operators, unitary operators.

Dr. Sukhendu Ghosh,

Assistant Professor

Indian Institute of Technology(IIT) Jodhpur.

6 hours

The structure of a linear operator: Characteristic polynomial, Eigen values and Eigen vectors: applications, Applications of linear algebra in differential equations.

 

 

References:
(1) Roman, Steven (2008) Advanced Linear Algebra, Springer.
(2) Blyth, T.S. and Robertson, E F. (2002) Further Linear Algebra, Springer.
(3) Leon, Steven (2006) Linear algebra with applications, Pearson.
(4) Gilbert Strang (2016) Linear Algebra and Its Applications, Wellesley Cambridge Press.
(Lecture notes from the speakers, if available)

Time Table: 

 

Week-1 of the TEW
(November 19-22, 2020)

  (Lecture-I) (Lecture-II) (Lecture-III) (Lecture-IV) (Lecture-V) (Tutorial-II)
Date Thursday
Nov. 19, 2020
Friday
Nov. 20, 2020
Saturday
Nov. 21, 2020
Saturday
Nov. 21, 2020
Sunday
Nov. 22, 2020
Sunday
Nov. 22, 2020
Time 5:30-7:00 pm 5:30-7:00 pm 5:00-6:00 pm 6:15-7:15 pm 4:00-5:00 pm 5:15-7:15 pm
Speaker IKR IKR IKR IKR IKR IKR+DK+KH

 

 

Week-2 of the TEW
(November 25-29, 2020)

  Guest Lecture (Lecture-I) (Lecture-II) (Lecture-III) (Lecture-IV) (Lecture-V) (Tutorial-II)
Date Wednesday
Nov. 25, 2020
Thursday
Nov. 26, 2020
Friday
Nov. 27, 2020
Saturday
Nov. 28, 2020
Saturday
Nov. 28, 2020
Sunday Nov.
29, 2020
Sunday
Nov. 29, 2020
Time 5:30-6:30 pm 5:30-7:00 pm 5:30-7:00 pm 5:00-6:00 pm 6:15-7:15 pm 4:00-5:00 pm 5:15-7:15 pm
Speaker PY(L-I) SG SG SG SG SG SG+DK+KH

 

Week-3 of the TEW
(December 2-6, 2020)

  Guest Lecture (Lecture-I) (Lecture-II) (Lecture-III) (Lecture-IV) (Lecture-V) (Tutorial-II)
Date Wednesday
Dec. 2, 2020
Thursday
Dec. 3, 2020
Friday
Dec. 4, 2020
Saturday
Dec. 5, 2020
Saturday
Dec. 5, 2020
Sunday
Dec. 6, 2020
Sunday
Dec. 6, 2020
Time 5:30-6:30 pm 5:30-7:00 pm 5:30-7:00 pm 5:00-6:00 pm 6:15-7:15 pm 4:00-5:00 pm 5:15-7:15 pm
Speaker CC(L-II) AS AS AS AS AS AS+DK+KH

 

Week-4 of the TEW
(December 10-13, 2020)

  (Lecture-I) (Lecture-II) (Lecture-III) (Lecture-IV) (Lecture-V) (Tutorial-II)
Date Thursday
Dec. 10, 2020
Friday
Dec. 11, 2020
Saturday
Dec. 12, 2020
Saturday
Dec. 12, 2020
Sunday
Dec. 13, 2020
Sunday
Dec. 13, 2020
Time 5:30-7:00 pm 5:30-7:00 pm 5:00-6:00 pm 6:15-7:15 pm 4:00-5:00 pm 5:15-7:15 pm
Speaker GB GB GB GB GB GB+DK+KH

 

IKR : Prof. Inder K. Rana
SG : Dr. Sukhendu Ghosh
GB : Dr. Gaurav Bhatnagar
AS : Dr. Anupam Singh
KH : Dr. Kiran Kumar Hiremath
DK: Dr. Dilpreet Kaur
PY: Dr. Pankaj Yadav
CC: Dr. Chiranjoy Chattopadhayay

 

Name of Ttutors:

Sr..

Name

Affiliation

1

Dr. Kiran Kumar Hiremath

Department of Mathematics, IIT Jodhpur

2

Dr. Dilpreet Kaur

Department of Mathematics, IIT Jodhpur

Name of the Guest Speakers:

Sr..

Name

Affiliation

1

Dr. Pankaj Yadav (L-I)

Bioscience & Bioengineering, IIT Jodhpur

2

Dr. Chiranjoy Chattopadhayay (L-II)

Computer Science & Engineering, IIT Jodhpur

 

Selected Applicants: 

 

Serial SID Full Name Gender Affiliation Position in College/University Year of Passing M.Sc./M.A Ph.D. Degree Date
1 33046 Ms. Tania Sidana Female IIIT Delhi PhD Student 2015  
2 33128 Mr. Kapil Gupta Male IIT JODHPUR M.Tech Student    
3 33201 Prof Yogesh Sharma Male MahilaP.G.College,Jodhpur Assistant Professor 1998 28/02/2001
4 33266 Mr Prashant Kumar Male The LNM Institute of Information Technology PhD 2015  
5 33297 Dr. Meena Kumari Gurjar Female Jai Narain Vyas University Jodhpur Assistant Professor 2008 07/09/2015
6 33485 Ms. Rajni Gupta Female St. Stephen's college Assistant professor 2014  
7 33573 Mrs. Mukta Jain Female PGDAV College, Department of Mathematics, University of Delhi. Assistant Professor 2003  
8 33652 Mr Brajamohan Sahoo Male Central University of Jharkhand Msc student 2020  
9 33691 Dr. Priyanka Harjule Female Indian Institute of Information Technology Assistant Professor 2012 13/01/2017
10 33728 Mr. Ravi Gehlot Male JAI NARAIN VYAS UNIVERSITY MSC Appeared / Awaiting Result  
11 33729 Ms Neha Gehlot Female Jai narain vyas university Msc student Awaiting Result  
12 33732 Mr. Swapnil Prakash Wani Male Arts, Commerce and Science College, Taloda Asst. Professor 2012  
13 34149 Dr Ranjit Gangadhar Ghumde Male Shri Ramdeobaba college of engineering and management Nagpur Assistant professor 2006 07/02/2017
14 34153 Mr. Md Hasanuzzaman Male Aligarh Muslim University PhD 2015  
15 34159 Dr Yashpreet Kaur Female NIT Jalandhar Asst.Prof. 2013 21/05/2019
16 34189 Mr. Yash Arora Male Indian Institute of Technology (IIT) PhD 2019  
17 34199 Ms Shivani Chauhan Female Shiv Nadar University PhD student 2017  
18 34217 Ms Khyati Sharma Female Shiv Nadar University PhD 2013  
19 34223 Dr Gobinda Chandra Panda Male Mahavir institute of engineering and technology, Bhubaneswar Associate Professor 2005 07/03/2011
20 34228 Mr. Ganesh Jayantrao Dharmadhikari Male IISER THIRUVANANTHAPURAM BS-MS student 2020  
21 34237 Ms Raihana Rashid Female Central University of Kashmir Ph. D Scholar 2015  
22 34238 Ms Uzma Mubeen Female Central University of Kashmir PhD 2012  
23 34241 Mr. Arun Vittal Wandakar Male Indian Statistical Institute B Mat student    
24 34248 Mr. Sirish Kumar Dash Male Anchalik Mahavidyala Sindhol Asst. Prof. 2004  
25 34257 Mr. Saikat Maity Male University of Calcutta Student    
26 34270 Dr. Prasanna Poojary Male POORNAPRAJNA COLLEGE UDUPI PhD 2015 19/03/2020
27 34272 Mr. Anandkumar Vasantkumar Soni Male Smt G.B.Pavaya and Smt P.S.Pavaya Science College, Palanpur Assistant Professor 2015  
28 34280 Mr. Debanshu Biswas Male Indian Institute of Technology Jodhpur MSc Student    
29 34282 Mr. Aritra Roy Male Banaras Hindu University M.Sc student 2020  
30 34299 Mr. Sidhu Jitendra Singh Makkhan Male S.G.A.D. College, Khadoor Sahib Assistant Professor 2010  
31 34307 Mr. Dhurai K Male Government College of Engineering Assistant professor 2005  
32 34314 Dr. Kulwinder Singh Parmar Male I K Gujral Punjab Technical University Asst Prof 2006 15/10/2014
33 34343 Dr S.Maharasi Maharasi Female Sri Parasakthi College for Women, Courtallam Assistant Professor 2009 07/06/2017
34 34349 Mr. Manoj Kumar Patel Male indian institute of bombay PhD 2019  
35 34352 Prof. Vijaykumar Jayantibhai Solanki Male Government Engineering College Bharuch Assistant Professor 2009  
36 34355 Mr. Akshay Goyal Male Department of Mathematics, Aligarh Muslim University MSc student 2019  
37 34374 Prof Sanjeev Kumar Male Govt. College Dhaliara (HP) Asst. Prof. 2015  
38 34385 Mr. Jayakumar Koodalingam Male DHANALAKSHMI COLLEGE OF ENGINEERING , CHENNAI ASST. Prof. 2002  
39 34387 Mr. Arup Datta Male TRIPURA UNIVERSITY (A CENTRAL UNIVERSITY) MSc Student    
40 34391 Mr Manbhalang Chyne Male St. Edmund's College Assistant Professor 2003  
41 34455 Mr. Rajkumar D Male VELLORE INSTITUTE OF TECHNOLOGY PhD 2017  
42 34462 Mrs S B T Sundari K Female Andhra University Research scholar 2010  
43 34497 Mrs. Kiran Meena Female Banaras Hindu University Research Scholar 2018  
44 34514 Mr Vetrivel Veerappan Male Mahendra Engineering College (Autonomous) Assistant Professor 2012  
45 34533 Mr. Himanshu Mittal Male GD Goenka University, Gurugram PhD 2016  

 

 

How to Reach: 

Online Workshop.

School Short Name: 

laia

Last Date Application: 

Tuesday, March 3, 2020

School Type: 

TEW