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:
- Contemporary Abstract Algebra by Joseph A. Gallian.
- Abstract Algebra by D. S. Dummit and R. M. Foote.
- Linear Algebra and Its Applications by Gilbert Strang.
- Linear Algebra by K. Hoffman and R. Kunze.
- 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