TEW - Linear Algebra and Number Theory (2026)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Dr. Nabin Kumar Meher, |
5 |
Congruences, Chinese remainder theorem, Linear congruences, Congruences with prime-power modulus, Fermat’s little theorem, Wilson’s theorem, Euler function and its applications |
|
Prof. Brundaban Sahu, |
4 |
Primitive roots, Quadratic residues, Quadratic reciprocity law, Jacobi symbol, Binary quadratic form, Arithmetic functions, Mobius Inversion formula, Dirichlet product, Continued fractions. |
|
Dr. Ranjan Kumar Das, |
4 |
Eigenvalues and eigenvectors; diagonalization; the Spectral Theorem; Rayleigh quotient and its interpretation; Jordan canonical form |
|
Dr. Debasisha Mishra, |
5 |
Vector and matrix norms, Direct and Iterative methods for solving linear systems, Factorization of matrices (LU, QR, SVD) and their applications, Curve fitting and least squares problems; Power method. |
References:
1. I. Niven, H. S. Zuckerman, H. L. Montgomery, An Introduction to the Theory of Numbers, Wiley-India Edition, 2008
2. T. Koshy, Elementary Number Theory with Applications, Academic Press, 2007
3. K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, Springer, 1990.
4. N. Koblitz, A Course in Number Theory and Cryptography, GTM, Springer, New York, 2012.
5. G. Strang, Linear Algebra and Its Applications, 4th Edition, Cengage Learning, 2006.
6. K. Hoffman and R. Kunze, Linear Algebra, 2nd Edition, Prentice-Hall, New Jersey, 1971.
7. L. N. Trefethen, and D. Bau, Numerical Linear Algebra, SIAM, 2022.
8. C. D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, 2023.
Name of the tutors:
|
S.No. |
Name |
Affiliation |
|
1 |
Tikesh Verma |
NIT Raipur |
|
2 |
Bhawna Garg |
NIT Raipur |
|
3 |
Mansi Wankhede |
NIT Raipur |
|
4 |
Sourav Bhowmick |
NIT Raipur |
|
5 |
Dr. Nabin Kumar Meher |
NIT Raipur |
Time Table
|
Day |
Date |
Lecture 1 (9.30–11.00) |
Tea (11.00–11.30) |
Lecture 2 (11.30–1.00) |
Lunch (1.00–2.20) |
Lecture 3 (2.30–4.00) |
Tea |
Tutorial/ Discussion (4.15–5.15) |
Snacks (5.15–5.45) |
|
Monday |
14.12.2026 |
NM |
|
RD |
|
NM |
|
SB, NM |
|
|
Tuesday |
15.12.2026 |
NM |
|
RD |
|
NM |
|
TV, BW |
|
|
Wednesday |
16.12.2026 |
RD |
|
RD |
|
DM |
|
SB, NM |
|
|
Thursday |
17.12.2026 |
DM |
|
NM |
|
DM |
|
TV, MG |
|
|
Friday |
18.12.2026 |
BS |
|
DM |
|
BS |
|
TV, BG |
|
|
Saturday |
19.12.2026 |
BS |
|
DM |
|
BS |
|
SB, NM |
|
Full forms for the abbreviations of speakers and tutors:
BS: Prof. Brundaban Sahu,
DM: Dr. Debasisha Mishra,
NM: Dr. Nabin Kumar Meher,
RD: Dr. Ranjan Kumar Das
TV: Tikesh Verma,
BG: Bhawna Garg,
MW: Mansi Wankhede,
SB: Sourav Bhowmick.