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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
 
 
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