Electronics & Telecommunication Technology PG Gauhati University Syllabus

A) Electronic Materials (50 marks)
Unit-1	Crystalline structure: Single crystals - unit cells, Bravais lattices, crystal planes, Miller indices, X-ray diffraction; Lattice vibrations; properties of polycrystalline and amorphous materials, crystalline defects, X-ray diffraction (10marks).
Unit-2	Semiconductors: Classification of solids - insulator, semiconductor and conductors; Intrinsic and extrinsic Semiconductors, Compound semiconductors – binary, ternary and quaternary types and their properties; carrier generation and recombination, carrier scattering in semiconductors. Electronic properties and application of semiconductor – semiconductor junction, metal – semiconductor junction, metal – insulator junction, insulator – semiconductor junction in electronic device fabrication. Low-dimensional semiconductor structures: super lattice, quantum wells, wires and dots and their application in electronics; organic and polymer materials for electronics (10 marks).
Unit-3	Conductors: Free electron theory of metals, Electrical conductivity and resistance, Boltzmann transport equation, thermionic emission and photoelectric effect, contact potential between metals, metallic alloys – interstitial and substitutional solid solutions, mutual solubility. Properties of common metals (Gold, Copper, Aluminum, Tin, Lead etc.), and their applications  in fabrication of electrical components and electronic devices (10 marks).
Unit-4	Dielectrics: Dielectric polarizations - electronic, ionic, orientation types, dielectric breakdown; alternating field behavior of dielectrics – complex dielectric constant, dielectric loss and relaxation time. Properties of dielectrics such as mica, ceramics, Silicon dioxide, Silicon Nitride etc., and their applications in fabrication of electrical components and electronic devices (10 marks).
Unit-5	Magnetic materials and Superconductors: Theory of ferromagnetic, anti-ferromagnetic, ferrimagentic, paramagnetic and diamagnetic materials; their properties and application in electrical and electronic engineering. Physics of superconductors and superconducting materials, Josephson effect, SQUID, High temperature superconductivity and its applications (10 marks).
B) Mathematical Methods (50 marks)
Unit-1	Linear Algebra: Introduction, Vector Spaces, Solutions of Linear Systems, Important Subspaces associated with a matrix, Orthogonality, Eigenvalues and Eigenvectors, Diagonalizable Matrices, Hermitian Matrices, General Matrices, Jordan Canonical form (7 marks).
Unit-2	Numerical Analysis: Principles of floating point computations and rounding errors; systems of linear equations, eigenvalue problems; interpolation, approximation by polynomials, data fitting and least squares approximation; Numerical Integration: integration by interpolation, adaptive quadratures and Gauss methods; Initial Value Problems for Ordinary Differential Equations: Runge-Kutta methods, multi-step methods, predictor and corrector scheme, stability and convergence analysis; Two Point Boundary Value Problems : finite difference methods with convergence results (7 marks).
Unit-3	Laplace and Fourier Transforms: Concept of Transforms, Laplace Transform(LT) and its existence, Properties of Laplace Transform, Evaluation of LT and inverse LT, Evaluation of integral equations with kernels of convolution type and its Properties, Complex form of Fourier Integral, Introduction to Fourier Transform, Properties of general (complex) Fourier Transform, Concept and properties of Fourier Sine Transform and Fourier Cosine Transform, Evaluation of Fourier Transform, Solution of ordinary differential equation and one dimension (12 marks).
Unit-4	Special Functions: Gamma and Beta functions, Bessel function, Error function, Legendre polynomials, Hermite and Laguere polynomials, Chebyshev and Jacobi polynomials, Hypergeometric functions, Laplace equation, Poisson’s Equation and Engineering applications (12 marks).
Unit-5	Probability & Statistics:  A review of concepts of probability and random variables: Classical, relative frequency and axiomatic definitions of probability, addition rule, conditional probability, multiplication rule, Bayes’ Theorem. Random Variables: Discrete and continuous random variables, probability mass, probability density and cumulative distribution functions, mathematical expectation, moments, moment generating function. Standard Distributions: Uniform, Binomial, Geometric, Negative Binomial, Poisson, Exponential, Gamma, Normal. Sampling Distributions: Chi-Square, t and F distributions. Estimation: The method of moments and the method of maximum likelihood estimation, confidence intervals for the mean(s) and variance(s) of normal populations. Testing of Hypotheses: Null and alternative hypotheses, the critical and acceptance regions, two types of error, power of the test, the most powerful test, tests of hypotheses on a single sample, two samples (12 marks).