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Semester 1 (T.C.)

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2009

COURSES THEMES (approximative contents)

Course
0.1.1

  • Algebra I (80 hours, credit 4)
    Logic elements - Assertion logic - Predicates - Predicates' formulas - Logic laws - Sets and relations - Order and equivalence relations - Algebra and algebraic systems - Binary operations: groups, rings, fields - Principal numeric systems: N, Z, R and C (detailed study) - Polynomials and rational fractions - Vector spaces - Linear systems of equations - Gauss' method - ...

Course
0.1.2

  • Calculus I (Analyse I) (80 hours, credit 4)
    The field of real numbers R - N-dimensional Euclidean spaces - Metric spaces -Topology in the set of real numbers - Numerical sequences - Limit of a function - Continuity - Derivative of a function - Power expansion and Taylor formula - Indefinite integrals and primitive - Riemann integrals - Mechanical and geometrical applications - ...


0.1.3

  • Computation I (48 hours, credit 3)
    * Part one: computer principles
    Basic computer configuration - Fundamental data medium - Numeration system - Codification - programming languages - Compilers - operating systems - Algorithm - ...
    * Part two: C language (Pascal until 2002, Fortan until 1998)
    Operand writing - Arithmetic, logical, comparison operators - Arithmetic and logical expressions - Writing and reading instructions - ...


0.1.4

  • General Optics (48hours+Lab:16hours, credit 3)
    Geometrical Optics (please see below) + interferences ...
    - ...

  • Metrology and Geometrical Optics
    (before 1998: 32hours+Lab:16hours, credit 2)
    Light and waves - Fermat principle - Optics linear approximation - Cardinal elements of centered systems - ...
    Study of some particular systems: lenses, mirrors, catadioptic - aberration, coma, distorsion, chromatic aberration - ...


0.1.5

  • Statics (64 hours, credit 3)
    Object and axioms of statics - Reminder of vector algebra - Various systems of forces and couples - Notion of graphic statics - Center of gravity - Static and quadratic momentum - Study of various support systems - Internal efforts - Triangulated systems (trellis) - Friction - ...


0.1.6

  • General Chemistry I (48 hours, credit 3)
    Structure of matter - Atomic structure: Rutherford model, black body radiation, Bohr model - Modern theory of atomic structure: wave-particle duality, photo-electrical effect, De Broglie hypothesis, wave equation - Periodic table - Atomic properties - Chemical bounding - Molecular orbital theory - ...


0.1.7

  • Descriptive Geometry (32 hours, credit 2)
    Introduction - Projection planes - Orthogonal projection of: a point, line, an object - the straight line - the plane - Projection of a circle - The ellipse - Surfaces of revolution - Spheres - Helicoidal surfaces - ...


0.1.8

  • Before 1998: Drawing I (32 hours, credit 1)
    Free hand drawing: drawing of various geometrical shapes and their projections over 3 planes - Isometry - Shadows - ...


0.1.9

  • Foreign Language (48 hours) "English 1"
    This course is an introduction to English and provides the student with basic communicative expressions and grammar: greetings, making polite requests, asking for and choosing articles, making lists, discussing the weather - ...

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