Mathematics

Ouvrages : ← P. CHRETIENNE ; Y. PESQUEUX ; J.-C. GRANDJEAN -1980- Algorithme et pratique de programmation linéaire- Editions Technip, Collection langages et algorithme de l’informatique. ← Y. DODGE ;-2005 - Optimisation appliquée- Collection Mathematics ans statistics, Chapitre 5. ← JEAN-PIERRE ESCOFIER-2006- Toute l’algèbre du premier cycle-  Edition DUNOD, Collection Sciences Sup. ← BERNARD GUERRIEN ; GABRIEL ARCHIVARD -1992- Principes mathématiques pour économistes- Edition Economica

Japon) MIKIMOTO Ginza 2 (Tokyo, Japon) « Meiso no Mori » Municipal Funeral Hall (Salle Funéraire Municipale) (Gifu, Japon) Hôpital Cognacq-Jay (Paris, France) 1989 1991 1995 1997 1999 2000 2001 2004 2005 Co-traducteur de : The Mathematics of The Ideal Villa and Other Essays, par Colin Rowe, Shokokusha « Kaze no Henyotai (Transfiguration des Vents) », Seidosha, Tokyo « Toyo Ito. L’Architecture de l’éphémère », S. Roulet, S. Soulie, Éditions du Moniteur, Paris « Toyo Ito », Architectural

1 ≤ (x + 1)(y + 1) 2 z 1 ≤ (y + 1)(z + 1) 2 Summing we obtain LHS ≤ 1 2 x 1 + x+1 x+1 + y 1 + y+1 y+1 + z 1 + z+1 z+1 = 3 2 x 1 + x+1 y+1 y 1 + y+1 x+1 z 1 + z+1 y+1 y + (x + 1)(y + 1) 3 z ≤ (y + 1)(z + 1) 2 8 Problem 6 ‘Romanian Regional Mathematic Olympiad 2006’ (Endrit Fejzullahu): Let a, b, c be positive numbers , then prove that 1 1 1 4b 4c 4a + 2 + 2 + + ≥ 2 a b c 2a + b2 + c2 a + 2b2 + c2 a + b2 + 2c2 √ First Solution (Mateescu Constantin): By AM − GM we have 2a2 + b2 + c2 ≥ 4a bc 4a

USE : elementary (Michael McCarthy, Felicity O’Dell, Cambridge)Unit 4 – les vêtements et les couleursUnits 17 and 19 – les informations touristiquesUnits 27 and 28 – les endroits dans une ville ou villageNUCLEUS, ENGLISH FOR SCIENCE AND TECHNOLOGY: MATHEMATICS (David Hall with Tim Bowyer, Longman)Unit 1, Section 1- les propriétés, les formes, pages 1 - 4DVD, VIDÉOS, AUDIO (au Cargo, Quai 43, salle 218)ENGLISH PRONUNCIATION IN USE : Elementary, avec CD (Jonathan Marks, Cambridge) Units 26 – 30FACE TO

Web : http://www.ugr.es/~batanero/ListadoEstadistica.htm BATANERO C., GODINO J. D., GREEN D. R., HOLMES P., VALLECILLOS A., (1991), « Errores y difficultades en la comprension de los conceptos estadisticos elementales », International Journal of Mathematics Education in Science and Technology, 25(4), 527-547. disponible sur le site Web : http://www.ugr.es/~batanero/.htm CLEVELAND W.S., (1993), « Visualizing Data », Hobart Press, Summit, New Jersey, USA. CLEVELAND W.S., (1994), « The Elements of Graphing

et R. C. Sharma (dir.), Interactive Multimedia in Education and Training, Hershey (Pa.), Idea Group, 2004, p. 60-72. Pages Web : ANDERSON, John R., Lynne M. REDER et Herbert A. SIMON. Applications and Misapplications of Cognitive Psychology to Mathematics Education, (en ligne) http://act.psy.cmu.edu/personal/ja/misapplied.html, 1995, consulté le 29 juin 2002. Ressources additionnelles pour la rédaction GIBALDI, Joseph. MLA Handbook for Writers of Research Papers, New York, Modern Language Association

Steele (2001). For notational simplicity we only consider the scalar case. We start by recalling that the GBM equation dXt = aXt dWt , X o = 1, has the solution (11.3) Writing the SDE on integral form as (11.4) 156 THE MATHEMATICS OF THE MARTINGALE APPROACH and plugging (11.3) into (11.4) we obtain, after some reshuffling of terms, Using the same argument we easily obtain, for 8 :::; t, (11.5) where the important point is that the integral is only over the

publishers or authors of the Document to the Document's overall subject (or to related matters) and contains nothing that could | |fall directly within that overall subject. (Thus, if the Document is in part a textbook of mathematics, a Secondary Section may not | |explain any mathematics.) The relationship could be a matter of historical connection with the subject or with related matters, or of | |legal, commercial, philosophical, ethical or political position regarding them.

conducted for all applicants who submit the prescribed portfolio. No preparation for the two-hour evaluation session is necessary. Candidates will basically be evaluated on their aptitude for design and language ability, in the form of an essay. A mathematics test will also form part of the evaluation. Applicants must please note that they must automatically report to the Campus on one of the dates (see below), as they will not receive any further correspondence/invitation in connection with the evaluation

publishers or authors of the Document to the Document's overall subject (or to related matters) and contains nothing that could fall directly within that overall subject. (Thus, if the Document is in part a textbook of mathematics, a Secondary Section may not explain any mathematics.) The relationship could be a matter of historical connection with the subject or with related matters, or of legal, commercial, philosophical, ethical or political position regarding them. The "Invariant Sections" are