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Semester 4 (T.C.)

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2009

COURSES THEMES (approximative contents)

Course
0.4.1

  • Calculus IV {Analyse IV} (64 hours, credit 3)
    The field of complex numbers - Functions of complex variable - Limit, continuity, differentiability of a complex function - Elementary functions - Integration of complex variable functions - Cauchy formulas and maximum principle - Transformations - Convergence and uniform convergence of functions and series of functions In the field of complex numbers - Taylor and Laurent series - Residue theorem - Argument principle - Application on the theory of residue - Gamma and beta functions (Euler's) - Laplace transformation and its inverse - Expansion theorems (application to the theory of residue) - Application on systems of differential equations - ...

Course
0.4.2

  • Numerical Methods (64 hours+Lab:16hours, credit 4)
    Calculation artificices - Calculation of the value of a polynomial: Horner method, graphic method - Sum of a sequence - Errors theory: application on computer science - Direct linear interpolation - Indirect linear interpolation - Approached resolution of an equation - Main iterative algorithms - Real and complex roots - Series - Sum of series - Committed errors - Definite integrals - Numerical matrix calculation - Resolution of a system of linear equations - Eigenvalue determination - Numerical resolution of differential equations with partial derivatives - Numerical derivation - Abacus - ...

Course
0.4.3

  • Modern Physics (48 hours+Lab:16hours, credit 3)
    The theory of relativity - Waves and particles - Principles of quantum theory - Schrodinger equation - Kinetic momentum - Motion in a central symmetrical field: case of hydrogen atom - Electron and atom spin - Nucleus structure - Radioactivity - ...

Course
0.4.4

  • Mechanics of Materials {M.D.M.} (64 hours, credit 3)
    * Tenseur des contraintes - Tenseur des déformations - Relation entre contraintes et déformations - Objet et base de la théorie des poutres: notion d'effort interne (N, T, M), calcul d'une poutre en traction simple, flexion pure des poutres droites, équation de la déformée, flexion déviée d'une poutre, flexion composée - Portiques isostatiques - ...

Course
0.4.5

  • Electricity III (48 hours+Lab:16hours, credit 3)
    Electric circuits in variable current + Electrical measuring methods
    - ...

Course
0.4.6

  • Thermodynamics I (64 hours, credit 3)
    Kinetic study of ideal gases - First law of thermodynamics - Specific heats - Quasi-static transformations - Second law of thermodynamics - Internal combustion engines - Gas turbines - study of steam: saturation curve - Turbine engines - Refrigerating engines - Irreversible transformations - Real gases and thermoelastic coefficient - ...

Course
0.4.7

  • Chemistry IV {Mineral} (16hours+Lab:18hours, credit 1)
    Hydrogen - Oxygen - Halogens - Chlorine - Nitrogen, ammoniac and nitric acid - Carbon - The metals - Alkaline metals - Sodium and its derivatives - calcium - Aluminum - Chromium - Iron - ...

Course
0.4.8

  • Architecture Elements (48hours, credit 2)
    General rules - Conventions and technical representations of drawings - Particular rules and conventions - General methods for executing a technical drawing - ...

Course
0.4.9

  • Foreign Language (48 hours) "English 4"
    This course aims at preparing the above-average English student for any future courses or research in English: scientific terms and expressions are presented through the study of scientific articles collected from magazines or books, grammar is reviewed and discussed through the choosen texts - ...

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