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| MATH0231-2 | Applied mathematics (with statistics)
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| Duration : | 25h Th, 20h Pr |
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| Credits/ECTS : |
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| Holder(s) : | André Burnel |
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| Language : | Langue française |
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| Course contents : | The first part is divided into 5 chapters :
1) A recall of useful elements
2) The Fourier transform : definition, properties and illustrations
3) linear filters and convolution product : definitions and relation with the Fourier transform
4) Fourier series, properties and definitions
5) The numerical Fourier transform with a description of the methods and the problems
The second part is devoted to an introduction to Statistics used by chemists : probabilities, linear regression, errors, tests.
At the present time, numerous analytic and numerical calculations can be realized through informatic means. The use of these means is encouraged though not imposed. Some introductions are given. |
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| Course objective : | The course is divided into 2 parts : Signal Analysis and some elements of Statistics. The aim of the first part consits of giving to the students the mathematical basis used in experimental methods involving an analysis in frequencies like infrared spectroscopy and medical imagery. These mathematical elements consist of Fourier analysis and convolution.
The second part is aimed to introduce the elements of statistics which are most useful for chemists. |
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| Prerequisites : | A good knowlegde of basic mathematics, mainly integration and derivation is necessary. Il is assumed that the students have this qualification by the fact that they are in the second year of the curriculum |
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| Organization : | The theoretical part of the course is given ex cathedra with overhead transparencies illustrating the various used functions. The students may ask questions at any time. A short break is made after one hour. The exercices are made by the students themselves, in collaboration if they want it. The teacher answers to their questions and suggests a method for solving the problem. A summary is given at the end of the exercice either by the teacher or by a student. |
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| Written notes : | The notes, including exercices, are also divided into 2 parts, both edited by "Editions de l'Université de Liège". Both parts can be obtained at the "Point de vue".
These notes are complete and self-contained. No accurate reference book is known by the teacher |
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| Assessment : | Evaluation of the students is made by a written examination during the usual periods of examination. |
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| Contacts : | A. Burnel
Département AGO - Institut de Physique (Bât. B5) - 4000 Liège 1 (Sart Tilman)
Tél. : 04/366.36.36 - E-mail : a.burnel@ulg.ac.be |
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