Linear Algebra (2021)

Convener(s)


Name:	Dr. Ram Prakash Sharma	Prof. Murali Srinivasan
Mailing Address:	National Institute of Technology Arunachal Pradesh-791112	Department of Mathematics, I.I.T. Bombay, Powai, Mumbai 4000 76.
Email:	rpsharma at nitap.ac.in	murali.k.srinivasan at gmail.com

In this school, we will learn the basic tools of linear algebra and use them to study Matrices, Gaussian Elimination, Vector Spaces, Orthogonality, Determinants, Eigenvalues and Eigenvectors, Positive Definite Matrices and Computations with Matrices. Learning these topics are the first steps to pursue research in the Linear algebra. Through these topics we will discuss some questions of current interests to get a flavor of ongoing research in these areas. We will also learn to use software like Sage for computations.

Click here to download poster

Dates:

Saturday, February 20, 2021 - 11:15 to Sunday, March 28, 2021 - 11:15

Venue:

National Institute of Technology Arunachal Pradesh

Venue Address:

Online mode

Venue City:

online

Chrono Order:

376

Syllabus:

Speakers and syllabus

Name of the Speaker	Affiliation	No. of Lecturers (1.5 hrs duration)	Detailed Syllabus
Murali Srinivasan	IIT Bombay	4 (6 hours)	Duality for network flows, linear programming and semidefinite programming.
R. Alam	IIT Guwahati	4 (6 hours)	Positive semidefinite matrices, Singular values, matrix computations.
R. K. Sharma	I. I. T. Delhi	4 (6 hours)	matrices, Gauss elimination, Vector spaces, dimension, linear maps, rank nullity theorem
S. Pati	IIT Guwahati	4 (6 hours)	Spectral Theorem and applications, Nonnegative matrices.
S. Krishnan	IIT Bombay	4 (6 hours)	Determinants and their properties, applications Eigenvalues and Eigenvectors, Diagonalization.
Ritumoni Sarma	IIT Delhi	4 (6 hours)	Inner product spaces, Gram- Schmidt process, projections and least squares, Fast Fourier Transform

Course associates
Ram Prakash Sharma, NIT Arunachal Pradesh

Name of Tutors:

S. No.	Name	Affiliation	Subject
1	Om Prakash	JECRC University Jaipur	linear algebra and use them to study Matrices,
2	Seema Tinker	JECRC University Jaipur	Gaussian Elimination, Vector Spaces,
3	Satya Ranjan Mishra	SOA Deemed to be University Bhubneswar, Odisha	Orthogonality, Determinants,
4	N Sandeep	Central University Karnataka	Eigenvalues and Eigenvectors, Positive
5	M Gnaneswara Reddy	Department of Mathematics, Acharya Nagarjuna University Campus, Ongole, 523 001, India	Definite Matrices and Computations with Matrices

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:

Time Table (February to March)

Day	Date	Lecture-1 9.30 to 11.00 am	Tea 11.05 to 11.25 am	Lecture- 2 11.30 to 1.00 pm	Lunch 1.05 to 2.25 pm	Tutorial 2.30 to 3.30 pm	Tutorial 4.00 to 5.00 pm
Saturday	20-02-2021	RKS		RS		SRM	ST
Sunday	21-02-2021	RKS		RS		SRM	ST
Saturday	27-02-2021	RKS		RS		SRM	ST
Sunday	28-02-2021	RKS		RS		SRM	ST
Saturday	06-03-2021	SK		SK		NS	NS
Sunday	07-03-2021	SK		SK		NS	NS
Saturday	13-03-2021	SP		SP		MGR	MGR
Sunday	14-03-2021	SP		SP		MGR	MGR
Saturday	20-03-2021	RA		RA		OP	OP
Sunday	21-03-2021	RA		RA		OP	OP
Saturday	27-03-2021	MKS		MKS		SRM	ST
Sunday	28-03-2021	MKS		MKS		SRM	ST

MS- Murali K Srinivasan, IITB

RKS- RK Sharma, IITD

RA- R. Alam, IITG

SK- S. Krishnan, IITB

SP- S. Pati, IITG

RS-Ritumoni Sarma, IITD

Seema Tinker-ST

Om Prakash-OP

Satya Ranjan Mishra-SRM

N. Sandeep-NS

M. Gnaneswara Reddy-MGR

Selected Applicants:

Serial	SID	Full Name	Gender	Name of college/ University where employed/ studying	Position in College/ University	Year of Passing M.Sc./ M.A	Ph.D. Degree Date
1	35523	Dr. Aisha Jabeen	Female	Jamia Millia Islamia	Post doctoral fellow	2011
2	35530	Mr. Sworup Kumar Das	Male	Utkal University, Vani Vihar	Ph. D. Student	2014
3	35541	Dr.D.Dhamodharan Harif B	Male	Rajah Serfoji Govt. College(Autonomous), Thanjavur-613005, Tamilnadu, India.	Assistant Professor	2006	23/02/2019
4	35549	Dr S Dhawan	Female	Swami Vivekanand Institute of Engineering and Technology	Assistant Professor	2006	02/02/2013
5	35553	Mr Bindumadhaba Mohanty	Male	Radhakrishna Institute of Technology and Engineering	Asst Prof	2014
6	35555	Mr. Pervinder Singh	Male	DIT University	PhD Scholar	2016
7	35558	Ms. Anjali Beniwal	Female	IIT KHARAGPUR	Joint MSc-PhD	2020
8	35566	Dr Bhavtosh Awasthi	Male	JECRC University, Jaipur, Rajasthan	Asst. Prof.	1996	29/12/2007
9	35569	Dr. Chinmay Kumar Giri	Male	Seemanta Engineering College	Asst. Prof.	2013	01/12/2018
10	35577	Ms. Divya Taneja	Female	Maharshi Dayanand University	STUDENT	2019
11	35591	Ms. Kajal Sachdeva	Female	Department of Mathematics, Maharshi Dayanand University	PhD	2019
12	35593	Mr Sagar Satish Neve	Male	Viva college of diploma engineering and technology,virar	Lecturer	2012
13	35599	Mrs. Shreya Goyal	Female	Roorkee Institute of technology	Lecturer
14	35602	Mr. Narayanasamy Anjapuli	Male	Annamalai University	Ph.D. Research Scholar	2014
15	35605	Mr. Debdut Sengupta	Male	Salesian College Siliguri	Asst. Prof.	2014
16	35621	Mr. Nazim Khan	Male	Aligarh Muslim University	Ph.D	2015
17	35626	Mr Prakash Kumar Ratha	Male	Institute of technology and Research, Odisha	PhD	2017
18	35642	Dr. Phonindra Nath Das	Male	Memari College, Burdwan University	Asst. Prof.	2011	08/05/2018
19	35643	Dr. Kamlesh Jangid	Male	Rajasthan Technical University, Kota	Asst. Prof.	2008	05/11/2014
20	35645	Mr. Amar Deep	Male	PDPM IIITDM Jabalpur	PhD	2011
21	35652	Dr. Thirupathi Thumma	Male	B V Raju Institute Of Technology	Asst. Prof.	2006	03/10/2019
22	35653	Ms Deepti Gupta	Female	College of Engineering & Technology, Bhubaneswar	Asst. Prof.	2008	13/08/2018
23	35662	Mr. Mathew Thomas	Male	St.Thomas College (Autonomous), Thrissur	Asst. Prof.	2013
24	35673	Mrs Sumitra Panda	Female	SoA deemed to be University, Bhubaneswar	Research Scholar	2014
25	35681	Dr. Shamshuddin Mohammed	Male	Vaagdevi College of Engineering	Assistant Professor	2002	15/10/2019
26	35697	Mrs Swati Mohanty	Female	SOA(Deemed to be university)	phd student	2015
27	35700	Dr. Sunita Kumawat	Female	Amity University Haryana	Associate Professor		18/02/2012
28	35713	Ms. Dimple Rani	Female	Department of Mathematics, Panjab University.	Ph.D.	2019
29	35717	Dr. Sunil Dutt Purohit	Male	Rajasthan Technical University, Kota	Associate Professor	2001	05/08/2005
30	35718	Ms Mary Runiya	Female	Government Arts and Science College	Asst. Prof.	2011
31	35735	Dr. Golak Bihari Panda	Male	SOA Deemed to be University	Asst. Prof.	1997	16/04/2016
32	35750	Dr. Priyanka Sangal	Female	Ram Chandra Uniyal Govt. P.G. College Uttarkashi	Asst. prof.	2011	07/10/2018
33	35775	Mr. Debasish Gorai	Male	NIT, ARUNACHAL PRADESH	PhD	2017
34	35794	Ms Christina Mascarenhas	Female	D.G Ruparel College of Arts, Science & Commerce	Asst. Prof.	2015
35	35816	Dr Sachidananda Sahoo	Male	Institute of Technical Education and Research	Associate Professor	1997	16/10/2012
36	35824	Dr. Pradeep Kumar	Male	Central Institute of Petrochemicals Engineering and Technology, Jaipur	Faculty	2014	22/10/2020
37	35848	Mr. Krishna Chandra Mondal	Male	The University Of Burdwan	Burdwan
38	35853	Mrs Indumathi N	Female	Sri Ramakrishna Mission Vidyalaya College of Arts and Science	PhD	2014
39	35865	Mr Mahammad Sailanebaba	Male	SANJAY GHODAWAT UNIVERSITY	maths faculty	2013
40	35887	Dr. Mansi Harish	Female	Himachal Pradesh University	Asst. Prof.	2008	12/07/2015
41	35892	Mr. Shubham Kumar	Male	PDPM IIITDM Jabalpur, Madhya Pradesh, India	Research Scholar (PhD)	2018
42	35900	Mr. Vaibhav Shekhar	Male	National Institute of Technology Raipur	Research Scholar (PhD)	2017
43	35907	Dr Martina Jency	Female	Patrician College of Arts and Science	Asst. Prof.	2010	06/10/2017
44	35909	Dr. Neetu Dhiman	Female	UIT, Himachal Pradesh University	Asst. Prof.	2010	06/04/2018
45	35911	Dr. Shabnam Sharma	Female	PVCNSSK Govt. Polytechnic Bilaspur	Lecturer Mathematics	2010	02/10/2016
46	35918	Ms. Kadali Tulasi Naga Jyothi	Female	IDEAL COLLEGE OF ARTS & SCIENCES(A),KAKINADA	LECTURER	2014
47	35920	Dr Meenakshi Thakur	Female	Central University	Asst. Prof.	2012	29/09/2018
48	35922	Ms. Amanpreet Kaur Sehgal	Female	Khalsa college for women, civil lines, ludhiana	Asst. Prof.	2010
49	35929	Mr. Kousik Das	Male	National Institute of Technology Raipur	PhD	2016
50	35930	Ms. Kritika Gupta	Female	Himachal Pradesh University	PhD	2018
51	35931	Ms. Ashima Malpotra	Female	Himachal Pradesh University	PhD	2017
52	35932	Ms. Sonali Sharma	Female	Malaviya National Institute of Technology, Jaipur	PhD	2017
53	35939	Mr. Sushil Thakur	Male	Himachal Pradesh University	PhD	2016
54	35947	Mr. Akash Verma	Male	National Institute of Technology Raipur	PhD	2018
55	35952	Dr Swati Agarwal	Female	Mangalayatan University	Assistant Professor	2011	11/01/2019
56	35954	Dr. Ramreddy Chetteti	Male	NIT WARANGAL	Asst. Prof.	2002	26/09/2011
57	35955	Mr. Gaurav Tyagi	Male	M M Degree College	Asst. Prof.	2009
58	35956	Mr. Navin Kumar	Male	Patrician College of Arts and Science	Asst. Prof.	2016
59	35957	Dr. Kiran Devi	Female	Mahatma Gandhi Govt Engineering College Kotla Jeori camp at JNGEC Sundernagar	Asst. Prof.	2011	13/06/2019
60	35976	Mr. Infant Gabriel G	Male	SRI RAMAKRISHNA COLLEGE OF ARTS & SCIENCE	Asst. Prof.	2015

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