IT and Electronics and Instrumentation Engineering & Instrumentation and Control Engineering.

Invariant direct sums – Primary decomposition theorem – Unitary matrices and their properties – Rotation matrices – Schur, Diagonal and Hessenberg forms and Schur decomposition – Diagonal and the general cases – Similarity Transformations and change of basis – Generalised eigenvectors – Canonical basis – Jordan canonical form – Applications to linear differential equations -Diagonal and the general cases – An error-correcting code – The method of least squares – Particular solutions of non-homogeneous differential equations with constant coefficients – The Scrambler transformation.

coordinates by the method of Separation of variables – Solution of diffusion equation by Fourier transform – Boundary value problems – Properties of harmonic functions – Green’s function for Laplace equation – The methods of images – The eigenfunction method.