Validating the intel pentium 4 microprocessor
Types of polarization, elliptically and circularly polarized light Brewsters law, Malus Law, Nicol prism, double refraction, quarter-wave and half-wave plates, optical activity, specific rotation, Laurent half shade polarimeter.Coherence and coherent sources, interference by division of wave front (youngs double slit experiment, Fresnels biprism), interference by division of amplitude (thin films, Newtons rings, Michelsons interferometer, Fabry Perot interferometer) 7 hrs.Complex Variables: Curves and Regions in the Complex Plane, Complex Functions, Limits, Derivative, Analytic Function, Cauchy-Riemann Equations, Laplaces Equation, Rational, Exponential, Trigonometric, Hyperbolic Functions, Linear Fractional Transformations, Conformal Mapping, Complex Line Integral, Cauchys Integral Theorem, Cauchys Integral Formula, Derivatives of Analytic Function, Power Series, Taylor Series, Laurent Series, Methods of obtaining Power Series, Analyticity at Infinity, Zeroes, Singularities, Residues, Residue Theorem, Evaluation of Real Integrals.Probability and Statistics: Random Variables, Discrete and Continuous Distribution, Mean and Variance of a Distribution, Moments, Moment Generating Functions, Skewness, Kurtosis, Binomial, Poisson, Normal Distributions, Testing of Statistical Hypothesis, F-Test, T-test, Wave particle duality, de Broglie waves, evidences for the wave nature of matter the experiment of Davisson and Germer, electron diffraction, physical interpretation of the wave function and its properties, the wave packet, the uncertainty principle. The Schrodinger wave equation (1-dimensional), Eigen values and Eigen functions, expectation values, simple Eigen value problems solutions of the Schrodingers equations for the free particle, the infinite well, the finite well, tunneling effect, simple harmonic oscillator (qualitative), zero point energy. The statistical distributors: Maxwell Boltzmann, Bose-Einstein and Fermi-Dirac statistics, their comparisons, Fermions and Bosons Applications: Molecular speed and energies in an ideal gas, The Black body spectrum, the failure of classical to give the correct explanations the applications of Bose-Einstein statistics to the Black body radiation spectrum, Fermi-Dirac distribution, free electron theory, electronic specific heats, Fermi energy and average energy its significance. Origin of energy bands in solids, motion of electrons in a periodic potential the Kronig Penny model, Brillouin zones, effective mass, metals, semi-conductors and insulators and their energy band structures, Extrinsic and Intrinsic semiconductors, doping-fermi energy for doped and undoped semiconductors, the p-n junction (energy band diagrams with fermi energy), the unbiased diode, forward and reverse biased diodes tunnel diodes, zener diode, photo diode its characteristics, LED, Introduction to transistors. Elementary Probability theory, Random Variables: discrete and continuous, distribution and density functions, Expectation, Moments, Moment Generating function, Skewness, Kurtosis, Binomial, Poisson and Normal distribution, Method of least square for linear and parabolic curves, Correlation of a bivariate distribution, Linear regression, properties of regression coefficient, Sampling distribution of mean and variance, Testing of Statistical hypothesis, F-test, T-test and chi square test.17 hrs.
Concept of computing, contemporary, Operating Systems such as DOS, Windows95, UNIX etc. Introduction to organization and architecture of mainframe, mini and micro systems.Liquid Fuels: Conversion of coal into liquid fuels (Bargius process & Fischer Tropsch process and mechanism, Petrolum: its chemical composition and Fractional distillation, Cracking of heavy oil residues: thermal cracking and catalytic cracking, Knocking-chemical structure and knocking: Octane and Cetane number and their significance, Power alcohol.iii)Basic concepts & Terminology, such as monomers, Polymers, Functionality, Thermoplastics, Thermosets, Linear, Branched, cross linked polymers etc.Functional requirements of OLAP Systems, Limitations of Spreadsheet and SQL, n-dimensional modeling and analysis, internal structure of a dimension, Hypercube or semantic spaces, Multi-dimensional formula, Analytical visualization, Practical steps for design and implementation of OLAP models.
Rendering polygonal object: Polygon representation of 3-D object, Pixel-level process, Theoretic foundation, The theory and practices of light/object interaction, the theory and practices of parameteric representation technique, The theory and practices of anti-aliasing techniques, Shadow generation techniques, Mapping techniques, textures and environment mapping, Procedural texture mapping and modeling, Ray tracing Basic recursive ray tracing, Radiosity methods, Global Illumination models, Volume rendering technique, Overview and low-level motion specification, Animation articulated, procedural animation.Mathematical Preliminaries, Formulation of the Problem and Solution by Graphical method, The simplex Method, Dual problem formulation and Solution, Application to Transportation and Assignment Problems. Switching technologies, multiplexing, circuit switching, packet switching X.25, frame relax, SMDs ATM, B-ISDN, traffic matrix, traffic pattern calculations, performance issues of packet networks, delay, availability and reliability Campus network design, leased line and radio modems, DDR & ISDN Access Network design, X.25 remote access network design, Frame-relay interfaces & traffic shaping VSAT & WLAN network design. Telecommunications transmission : Basic Switching System, Simple Tele-phone Communication, evolution of switching systems -Stroger swithching systems, cross bar switching , Electronic Switching Space Division Switching, Time Division Switching Time Division space switching, Time Division Time Switching, Time multiplexed space switching, Time multiplexed Time Switching, Combination Switching.