Week - 1 |
Matrices, eigenvalues and eigenvectors. |
Week - 2 |
Diagonalization, canonical forms. |
Week - 3 |
Matrix exponentials. |
Week - 4 |
Discrete and continuous linear systems. |
Week - 5 |
General solutions of linear differential equations. Initial value problems. |
Week - 6 |
Applications of second order linear differential equations. |
Week - 7 |
Basic theory of linear differential equations. |
Week - 8 |
Linear systems in R^2. Phase plane, trajectories. |
Week - 9 |
Jordan forms. |
Week - 10 |
Theory of stability, basic concepts. |
Week - 11 |
Hurwitz and Schur stability of matrices. |
Week - 12 |
Stability of solutions of differential equations. |
Week - 13 |
Asimptotic stability, stability theorems. |
Week - 14 |
Non-homogenous linear systems. |