TEW - Linear Algebra and Differential Equations with Applications (2026)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Dr. Sushmitha P |
6 |
Linear algebra: Finite dimensional vector spaces over real or complex fields. Inner products, orthogonalization and singular value decomposition with examples from data science. |
|
Prof. T. Tamizhselvan, |
6 |
Linear algebra: Rank, independence, bases, Gaussian elimination, linear transformations. Determinant, characteristic polynomial, Eigenvalues and eigenvectors. Spectral theorem for self-adjoint linear operators |
|
Prof. R. Sahadevan, |
6 |
ODE: Theory of first order and higher order ordinary differential equations, Existence, uniqueness and continuous dependence. Systems of first order ODE and higher order ordinary differential equations. Nonlinear Systems and its application in Volterra’s Prey-Predator Equations. |
|
Prof. Rajeswari Seshadri, |
6 |
PDE: First order partial differential equations: Introduction to PDE, the method of characteristics to solve linear, semi-linear, quasi linear and fully nonlinear first order equations. Second order partial differential equations: Classifications, Canonical Form, Solutions of linear PDE with constant coefficients. Applications: Laplace equation, Wave equation and Heat equations and their solutions using Separation of Variable methods. |
References:
Linear algebra:
1. Linear Algebra and its Applications, Gilbert Strang, Wellesley-Cambridge Press.
2. Linear Algebra, Hoffman and Kunze, Pearson publications.
3. Linear Algebra Done Right, Sheldon Axler, Springer.
4. Linear Algebra and its Applications, David C Lay, Steven R Lay, Judi J McDonald, Pearson publications.
5. Coding the Matrix, Philip Klein
Differential Equations:
1. Differential Equations, G. F. Simmons, Tata McGraw-Hill Publishing Company Ltd.
2. An Introduction to Ordinary Differential Equations, Earl A. Coddington, Prentice Hall of India Private Limited
3. Elements of Partial Differential Equations, Ian Sneddon, Dover Publications
4. Introduction to partial differential equations, Y. Pinchover and J. Rubinstein, Cambridge press.
Names of the tutor(s) / course associate with their affiliation and status:
1. Dr. T. Asir, Associate Professor, Pondicherry University
2. Dr. Rakesh Kumar Parmar, Associate Professor, Pondicherry University
Time Table
| Day | Date | Lecture 1 9.30– 11 |
Tea 11– 11:30 | Lecture 2 11.30– 12:30 |
Lunch 12:30 –2 | Lecture 3 2-3.30 |
Tea 3:30- 4 | Discussion/ Tutorial 4.00-5.00 |
|
| Mon | 15/06 | RS1 | T E A |
SP | L U N C H |
SP | T E A |
SP, TA, RKP | S N A C K S |
| Tue | 16/06 | RS1 | TT | TT | RS2, TA, RKP | ||||
| Wed | 17/06 | RS1 | TT | RS1 | SP, TA, RKP | ||||
| Thu | 18/06 | TT | TT | RS2 | RS2, TA, RKP | ||||
| Fri | 19/06 | RS2 | SP | SP | SP, TA, RKP | ||||
| Sat | 20/06 | RS2 | SP | RS2 | RS2, TA, RKP |
RS1: Prof. R. Sahadevan
SP: Dr. Sushmitha P
RS2: Prof. Rajeswari Seshadri
TT: Prof. T. Tamizhselvan
TA: Dr. T. Asir
RKP: Dr. Rakesh Kumar Parmar