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| MATH0486-1 | Mathematics
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| Duration : | 56h Pr, 42h Th |
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| Credits/ECTS : |
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| Holder(s) : | |
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| Substitute(s) : | Catherine Charles |
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| Language : | Langue française |
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| Course contents : | ALGEBRA
Equations, inequations, factorisation, exponent and radical, absolute value
TRIGONOMETRY
Elementary values, formules, triangles, equations and inequations
VECTOR ALGEBRA IN EUCLIDEAN SPACE
Decomposition in bases, addition, products
GEOMETRIC CONSTRUCTIONS IN PLANE AND SPACE
Proprieties, theorems, cubes sections, geometric constructions
DIFFERENTIAL AND INTEGRAL CALCULUS WITH ONE REAL VARIABLE
Function and numbers, limits and continuity, derivatives and applications, integrals and applications
FIRST ORDER DIFFERENTIAL EQUATIONS |
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| Course objective : | To provide basics in mathematics to students with initiation to the main mathematical tools and their applications in problem analysis and solution.
After completing the course the student is expected to
- to solve algebric and trigonometric equations and inequations
- to understand vector algebra
- to realize cubes sections and geometric constructions
- to apply the differential and integral calculus with one real variable to function study and areas, volumes
- to solve differential equations (first order) |
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| Prerequisites : | Program of Belgian secundary schools with 4 hours/week in mathematics |
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| Organization : | Lectures : 42h
Practical Works : 56h |
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| Written notes : | 1/ course notes
2/ P. Dupont (2000) : Exercices de mathématiques pour le premier cycle (Vol.1 : Algèbre et géométrie, 477p. et vol. 2 : Analyse, 513p.) - De Boeck Université. |
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| Assessment : | Written examination (45%)
Oral examination (45%)
Personal report (10%) |
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| Contacts : | CHARLES Catherine
Bât. GE Gembloux Agro-Bio Tech
Passage des Déportés 2
5030 Gembloux
+32 81 622453
C.Charles@ulg.ac.be |
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