IST - Linear Algebra (2021)
Speakers and Syllabus
Speakers and syllabus
|
Name of the Speaker |
Affiliation |
No. of Lecturers |
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 |
Lecture- 2 11.30 |
Lunch 1.05 |
Tutorial |
Tutorial |
|
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 |