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| MATH0104-1

 | Mathematics: diffrential and integral calculus - linear calculus

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| Duration : | 90h Th | |
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| Credits/ECTS : |
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| Holder(s) : | Jacques Bair | |
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| Course contents :
| Calculus : Real and hyperreal numerical lines. Continuity, derivability, differentiation, primitivation and integration for functions with one real variable (with a non standard approach). Linear algebra : Algebra for vectors and matrices. Linear systems. Characteristiv 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. | |
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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 for little groups. Work on computers with Mathematica. | |
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| Organization :
| Semesters 1 and 2. Theory = 60 hours; exercises : 30 hours. | |
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| Written notes :
| See on the net : http://www.sig.egss.ulg.ac.be/math/ | |
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| Assessment :
| First session : the final resul is an integer which is obtained by the arithmetical mean of four quotations : - written examination about linear algebra (first semester); - written examination about calculus (secon semester); - oral examination about theory; - work of the year. Secon session : - written examination about exercises (2/3 of the total); - oral examination about theory (1/3 of the total). | |
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| Contacts :
| Bair J., 1/49; tel. : 04/366.30.18; e-mail : J.Bair@ulg.ac.be. Henry V., 1/38; tel. 04/366.27.36; e-mail : V.Henry@ulg.ac.be.
Internet : http://www.sig.egss.ulg.ac.be/math/ | |
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