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| MATH0013-1

 | Algebra

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| Duration : | 30h Th, 20h Pr | |
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| Credits/ECTS : |
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| Holder(s) : | Eric Delhez | |
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| Course contents :
| The course covers the following topics
- Matrix algebra : determinant, inverse matrix, normal, hermitian, unitary matrices...
- Linear algebra : linear application, rank, basis, linear independence, linear systems, eigenvalues, eigenvectors, quadratic forms,...
- Discrete mathematics : mathematical induction, congruence, difference equations, graph theory...
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| Course objective :
| Mastery of the matricial formulation of mathematical problems and introduction to discrete mathematics issues. | |
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| Prerequisites :
| Algebra of real and complex numbers | |
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| Organization :
| Lectures : 30 hours - Exercices : 20 hours First and second quadrimestres | |
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| Written notes :
| Algèbre, E.J.M. DELHEZ (2 volumes). Lecture notes distributed by the AEES. | |
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| Assessment :
| Written examination in January. A note higher or equal to 12/20 gives an exemption for the final examination. Notes less than 12/20 are discarded.
Written (exercices) examination in May/June.
Written examination in August/September (retakes). | |
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| Contacts :
| Eric J.M. DELHEZ Secrétariat: Institut de Mathématique, B37 Tél. 04/366.93.47 - Fax: 04/366.94.89 - E.Delhez@ulg.ac.be | |
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| Remarks :
| Detailed information at
http://www.ulg.ac.be/mathgen/cours/algebre/algebre.html | |
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