TEW - Linear Algebra and its Applications (2024)

Speakers and Syllabus


Speakers and Tutors

S. No. Name Affiliation Number of Lecture hours (L)
and
Tutorial hours (T)
1 Dr. Dwijendra Narain Pandey
(Main Speaker-1)
Associate Professor, Department of Mathematics,
Indian Institute of Technology (IIT) Roorkee, Uttarakhand, India
11 L + 3 T
2 Dr. Mahendra Kumar Gupta
(Main Speaker-2)
Assistant Professor, School of Basic Sciences,
Indian Institute of Technology (IIT) Bhubaneswar, Odisha, India
11 L + 3 T
3 Dr. Vipin Kamble
(Guest Speaker-1)
Assistant Professor, Department of Electronics and Communication Engineering,
Visvesvaraya National Institute of Technology (VNIT), Nagpur, India
1 L
4 Dr. Jitendra Tembhurne
(Guest Speaker-2)
Assistant Professor of Mathematics, Department of Computer Science and Engineering,
Indian Institute of Information Technology (IIIT) Nagpur, India
1 L
5 Mr. Shashank Pandey
(Tutor-1)
PhD student, Department of Mathematics,
Indian Institute of Technology (IIT) Roorkee, India
3T
6 Ms. Mamoni Paitandi
(Tutor-2)
PhD student, Department of Mathematics,
National Institute of Technology (NIT) Jamshedpur, India
3T

 Course Contents

Name of the Speaker
(with affiliation)
Number of lecture hours Number of tutorial hours Syllabus to be covered
Dr. Mahender Kumar Gupta
(IIT Bhubaneswar)
6 2 Linear systems of equations and their solutions. Condition number of a matrix. Vector spaces, subspaces, linear dependence/independence, linear span, basis and dimension, rank, Linear transformation, Matrix formation of a linear transformation
Dr. Dwijendra Narain Pandey
(IIT Roorkee)
6 2 Eigen values and Eigen vectors, Diagonalization of matrices. Some applications like Google page ranking, solving linear systems of ODE's. Applications to electrical networks may also be indicated.
Dr. Mahender Kumar Gupta
(IIT Bhubaneswar)
5 1 Applications of linear algebra in electrical and mechanical engineering. Schur complement, Moore-Penrose Inverse, Singular Value decomposition (SVD). The least squares problem using SVD for rectangular matrices. Applications of matrices in singular control systems.
Dr. Dwijendra Narain Pandey (IIT Roorkee) 5 1 Applications of linear algebra in controllability and stability: controllability, observability, linear feedback control systems, and stability, algebraic criterion for linear systems’ stability.
Dr. Vipin Kamble
(VNIT Nagpur)
1 0 Applications of linear algebra in Signal, Image and Video Processing.
Dr. Jitendra Tembhurne
(IIIT Nagpur)
1 0 Applications of linear algebra in Machine Learning and Data Science.

Reference Books:

  1. Contemporary Abstract Algebra by Joseph A. Gallian.
  2. Abstract Algebra by D. S. Dummit and R. M. Foote.
  3. Linear Algebra and Its Applications by Gilbert Strang.
  4. Linear Algebra by K. Hoffman and R. Kunze.
  5. Introduction to Mathematical Control Theory by Stephen Barnett

 


Time Table

  Tentative Schedule
9th December 2024 to 14th December 2024

Day Date Lecture 1
09:30 AM
to
10:30 AM
10.30
to
11.00 AM
Lecture 2
11.00 AM
to
12.00 PM
Lecture 3
12:00 PM
to
01.00 PM
Break
01.00 PM
to
02.30 PM
Lecture 4
02.30 PM
to
03:30 PM
03.30 PM
to
04:00 PM
Discussion/ Tutorial
04.00 PM
to
05:00 PM
05.00 PM
to
05.30 PM
Mon 09th Dec MG (L) Tea DP (L) MG (L) Lunch DP (L) Tea MG + MP (T) SNACKS 
Tue 10th Dec DP (L) MG (L) DP (L) MG (L) DP + SP (T)
Wed 11th Dec MG (L) DP (L) MG (L) DP (L) MG + MP (T)
Thu 12th Dec DP (L) MG (L) DP (L) MG (L) DP + SP (T)
Fri 13th Dec MG (L) DP (L) MG (L) VK (L) MG + MP (T)
Sat 14 th Dec DP (L) MG (L) DP (L) JT (L) DP + SP (T)

L- Lectures; T- Tutorials
DP - Dr. Dwijendra Narain Pandey
MG - Dr. Mahender Kumar Gupta
VK – Dr. Vipin Kamble
JT – Dr. Jitendra Tembhurne
SP – Mr. Shashank Pandey
MP – Ms. Mamoni Paitandi

 

 

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