Course Weekly Lecture Plan

Week	Topic
1	First-order ordinary differential equations
2	Reduction-order techniques, Matrices and systems of linear equations
3	Matrices and systems of linear equations
4	Vector spaces, Linear independency, Base, Dimension, Subspaces
5	Eigenvalues and eigenvectors, Diagonalisation of a matrix
6	Eigenvalues and eigenvectors, Diagonalisation of a matrix
7	Triangulation of a matrix
8	Higher-order linear differential equations with constant coefficients nonhomogeneous case
9	Matrix functions, Matrix exponential
10	Higher-order linear differential equations with variable coefficients, Mid-term
11	Series
12	Complex variables and functions, Mid term II
13	Contour integrals
14	Laplace and Fourier transforms