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| MATH0058-2 | Mathematics for management engineers : part I
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| Duration : | 80h Th, 25h Pr |
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| Credits/ECTS : |
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| Holder(s) : | Jacques Bair |
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| Language : | French language |
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| Course contents : | There are two parts :
1) Calculus : real and hyperreal numerical lines; continuity, derivability, differentiation, primitivation and integration for functions of one real variable (with a non-standard approach).
2) Linear algebra : algebra for vectors and matrices ; linear systems ; characteristic values and vectors ; diagonalisation ; quadratic forms (without and with constraints) ; markov's chains ; generalized inverse. |
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| Course objective : | To learn to be rigorous, to use mathematics in management, to solve concrete problems, to introduce to mathematical models. |
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| Prerequisites : | Principles of mathematical reasonings ; elementary algebra, ; basic trigonometry and geometry ; theory of real numbers. |
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| Workshops : | Exercises in several groups. |
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| Organization : | Semester 1 : calculus.
Semester 2 : linear algebra. |
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| Written notes : | Analyse infinitésimale : le calculus redécouvert, par J. Bair et V. Henry ; éditions Academia-Bruylant, Louvain-la-Neuve, 2008.
Algèbre linéaire, par J. Bair ; éditions de l'Université de Liège.
Exercices on the site LOLA. |
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| Assessment : | The final examination includes two equal parts :
a) theory, exercises and problems about mathematical analysis (written exam in january or/and june for the first session, in august/september for the second session);
b) theory, exercises and problems about linear algebra (written exam in june for the first session, in august/september for the second session). |
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| Contacts : | Bair J., 1/49 ; tél. : 04/366.30.18 ; e-mail : J.Bair@ulg.ac.be.
Henry V., 1/51; tél. : 04/366.27.36 ; e-mail : V.Henry@ulg.ac.be. |
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