1. Linear Algebra, Matrices, Rank, Determinant, Inversion.
Hermitian, Unitary, Orthogonal & Orthonormal Matrices.
Eigen values & Eigen vectors with examples of Symmetric T & PI network.
2. Complex variable: Derivation of Couchy-Rieman conditions, Equations, Poles & Zeroes, Mapping.
Residue calculus technique, Contour integration technique.
Evaluation of series using contour integration.
Conformal mapping with examples of evaluation capacitances of two wire lines of cross-section (1) Concentric
circles, (2) Confocal ellipses, (3) Two circles of identical radius separated by a distance.
Schwartz Christoffel Transformation.
3. Special Functions: Bessel Function, Neumann Function, Hankel Function, Fourier Bessel Series with example
of frequency, Phase modulation.
4. Legendre Function, Mathiew Function.