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| MATH0492-1 | Linear algebra
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| Duration : | 25h Th, 25h Pr |
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| Number of credits : |
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| Lecturer : | Georges Hansoul |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| Teaching in the second semester |
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Course contents :
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| Classical linear algebra.
- Vector space : definition and various examples;
- Subspaces, linear dependancy, span;
- Dimension of a vector space, basis of a vector space;
- Linear map between vector spaces, associated matrices, base change formulas;
- Rank, kernel and image of a linear map, links between these concepts, rank of the transpose of a matrix;
- Determinant of a matrix, inverse matrix and invertibility criteria;
- Eigenvalues and eigenvectors of a linear operator.
Two classical applications :
1) Linear systems of equations,
2) Linear reccurent equations. |
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Learning outcomes of the course :
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| The object of the course is twofold :
1) give a basic knowledge of linear algebra,
2) lead from concrete objects to abstract concepts. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| Course MATH0491-1 or equivalent. |
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Planned learning activities and teaching methods :
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| The exercice lessons have a double objective : first illustrate the concepts and results of the theoretical part, and second provide applications of the theory. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Wednesday morning at the Mathematical Institute, B37. |
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Recommended or required readings :
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| One syllabus is available. |
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Assessment methods and criteria :
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| June :
a) written examination on linear algebra : exercices.,
b) oral examination on linear algebra : theory.
September :
oral examination on linear algebra : theory and exercices. |
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Work placement(s) :
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| None. |
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Organizational remarks :
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| None. |
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Contacts :
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| HANSOUL Georges
Institute of Mathématics - B37
Office 059
Grande Traverse, 12 - 4000 Liège
(Sart Tilman)
Phone : 04/366.94.69
Fax : 04/366.95.47
E-mail : G.Hansoul@ulg.ac.be
CAVUS Rukiye
Phone : 04/366.94.04
E-mail: R.Cavus@ulg.ac.be
ZIHINDULA Elie
Phone : 04/366.94.70
RASKIN Julien
Phone : 04/366.94.32
E-mail : J.Raskin@ulg.ac.be |
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