2nd Bachelor in Management Computing
Applied Mathematics and Statistics
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| ECTS Credits | 4 |
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| Number of Hours (h/year) | 45 |
| Teaching staff | BARSICS, Joseph |
| Course Unit | Compulsory |
| Term | Quad. 1 and 2 |
| Code | ECO-INF00006/2 |
| Prerequisite | ECO-INF00010/1, ECO-INF00006/1, ECO-INF00018/1,ECO-INF00023/1. |
|---|---|
| Aims and Objectives | App. Math: binary trees polyvalence, state-of-the-art indexing, introduction to compiling, graphs and operational research. App. Stat.: statistics inference basics: sampling, estimating, conformity and homogeneity hypothesis tests ( mean and variance). |
| Description | App. Math.: 1° Binary trees (versus any tree, definition & algorithms isomorphism, functional programming, re-balancing, expressions compiling). 2° B-Trees. 3° Graphs (implementation, path existence, Warshall, adjacency lists, topological level -Bellman, connected components, exploring, circuits, optimisation, eulerian & hamiltonian paths, Sedgewick-Vitter, Floyd-Warshall, Dijkstra). 4° Histograms and image processing. App. Stat.: 1° Common Distributions – Sampling: distribution, central limit theorem, normal and Student laws – Estimators and estimating by confidence intervals – Conformity hypotheses (mean, variance, chi-square) and homogeneity hypotheses (comparing means & variances, Fischer laws). Exercises. 2° Histograms and Image enhancement : modification rule, contrast enhancement, normalization, region of interest, contrast matching, density slicing, pseudo-coloring. |
| Bibliography | Math. App. : Méthodes de Programmation ; B. Meyer et C. Baudoin ; Éditions Eyrolles, Paris, 1980. – Compilers ; A.V. Aho, R. Sethi et J.D. Ullman ; Addison-Wesley 1986. – Algorithmes de Graphes ; C. Prins ; Éditions Eyrolles, 1994. – Stat. App. : Méthodes statistiques ; G. Baillargeon ; Éd. SMG. Trois-Rivières (Québec), 1984. – Théorie et méthodes statistiques ; P. Dagnelie ; Presses agronomiques de Gembloux, 1973. – Statistique appliquée à la gestion ; V. Giard ; Éd. Economica, Paris, 1995. –Théorie et applications de la statistique ; M.R. Spiegel ; McGraw-Hill Inc., Paris, 1984. - Remote Sensing Digital Image Analysis; J.A. Richards; Springer-Verlag 1994. |
| Teaching and Learning Methods | Lectures Lectures amphitheatres. Exercices are regularly proposed to students for homework. |
| Assessment Methods | Written examinations In written examination at the end of the :
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| Notes | In part |
| Language | French English |
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