2009
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COURSES THEMES (approximative
contents)
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0.1.1
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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 - ...
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0.1.2
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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 - ...
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0.1.3
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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 -
...
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0.1.4
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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 - ...
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0.1.5
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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 - ...
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0.1.6
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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 - ...
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0.1.7
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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 - ...
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0.1.8
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0.1.9
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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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(i)
Faculté de Génie, Liban
