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| MATH2006-2 | Introduction to numerical analysis
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| Duration : | 30h Th, 30h Pr |
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| Number of credits : |
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| Lecturer : | Jean-Pierre Schneiders |
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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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| The course begins with a few basic notions on the representations of numbers, the floating point calculus and numerical instability problems. It continues with the study of the main numerical methods for the approximate resolution of a few usual problems of algebra and analysis (non-linear equations, linear systems, interpolation, derivation, integration, ...).
During exercises sessions, the students learn to implement some of the algorithms studied in the course and to solve by themselves various problems of numerical analysis. |
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Learning outcomes of the course :
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| After this course, the students should have grasped the basic ideas of numerical analysis. In particular, they should have understood how to apply results from algebra and analysis to obtain approximate solutions for various common problems. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| The course uses some parts of the analysis and algebra courses teached during the first year. The exercises sessions depends heavily on the programming course of the second year. |
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Planned learning activities and teaching methods :
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| The course consists of blackboard lessons and exercises and programming sessions.
During the lessons, the main theoretical results are introduced, established and illustrated with examples.
During the exercises and programming sessions, the students are trained to solve by themselves various problems using the results considered in the lessons and to implement their solutions. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Face-to-face course. |
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Recommended or required readings :
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| Lecture notes are handed out to students at the beginning of the course. |
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Assessment methods and criteria :
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| Examinations (oral examination on the theory, written examination on exercises, computer programming examination) are organised on the whole course.
The note for the first session is based on the results obtained during these evaluations and can be modified to take into account the work done during the exercises sessions.
The second session is entirely similar to the first one. |
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Work placement(s) :
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Organizational remarks :
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| The course follows the official schedule handed out to the students at the beginning of the academic year. |
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Contacts :
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| Jean-Pierre Schneiders
Département de Mathématique (Bât. B37, Bureau 1/60)
Grande Traverse 12 - 4000 Liège (Sart-Tilman)
Tél. : (04) 366.94.01 - E-Mail : jpschneiders@ulg.ac.be
Web page : http://www.analg.ulg.ac.be/jps/ |
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