Loïc CELLIER





UNIVERSITY TEACHING



TEACHING RESPONSABILITIES


  • University teaching:

    • Teacher - Researcher (expat.) UFAZ project, University of Strasbourg - French-Azerbaijani University, Baku, Azerbaijan.

    • Teacher - Researcher (ATER 2 years), University Perpignan (UPVD), IUT Gestion Logistique Transport (Management, Logistics - Supply chain and Transport).

    • Teacher - PhD student (monitorat 2 years), University of Toulouse, IUT Informatique (Computer Science).

    • Lectures and computer labs (1 year), Écoles d'ingénieurs (Engineering schools): ÉNAC (the French University of Civil Aviation) and ÉNSÉÉIHT, Toulouse.


  • Highschool teaching:

    • Rectorate of Paris (2016 / 2017), collège Henri IV Paris 5th arrondissement, Paris.

    • Rectorate of Versailles (2018), lycée Albert Camus, Bois-Colombes, Hauts-de-Seine.


LECTURE NOTES AND EXERCISES


Licence Creative Commons
All documents (pedagogical supports presented below) are available follow the conditions of Licence Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International.

  • Title: Applied Mathematics (Mathématiques appliquées, code M2203, PPN2013, for the IUT GLT, DUT-1 students)
    Last version (pdf), support of 122 pages with more than 60 exercises, and 34 bibliography references; with 4 written tests which are archived, with a detailled mark scale and detailled corrections. Description below.
    • combinatorics and probabilities with discrete random variable;
    • statistics and distributions with one and two dimensions;
    • introduction to financial calculus (main discussed subjects: interests and depreciations).

  • Title: Quantitative techniques and operations research (Techniques quantitatives et recherche opérationnelle, code M3207, PPN2013, for the IUT GLT, DUT-2 students)
    Last version (pdf), support of 236 pages, with more than 200 exercises, and 73 bibliography references; with 16 written tests which are archived, with a detailled mark scale and detailled corrections. Description below.
    First part: operations research
    • graph theory and algorithms (spanning trees, shortest paths, maximum flows);
    • linear programming (modelling, geometry (graphical resolution), duality, simplex algorithm);
    • sensitive analysis;
    • scheduling.
    Second part: probabilities and statistics
    • combinatorics;
    • statistics with one and two dimensions, and correlation;
    • probabilities with discrete random variables and usual laws;
    • probabilities with continuous random variables and usual laws;
    • theory of sampling;
    • hypothesis tests.

  • Title: Graph theory and modular arithmetics (Théorie des graphes et arithmétique modulaire, code S3 math, PPN before 2013, for the IUT Informatique, DUT-2 students)
    Last version (pdf), support of 35 pages, with more than 60 exercises, and 14 bibliography references. Description below.
    First part: graph theory
    • simple graphs;
    • connectivity and planarity;
    • spanning trees;
    • transitive closure algorithms;
    • shortest paths algorithms.
    Second part: modular arithmetics
    • properties of Euclidean division;
    • extended Euclid's algorithm;
    • Bézout's identity;
    • congruences;
    • Chinese remainder theorem;
    • fast modular exponentiation;
    • public-key cryptosystems.

  • Title: Mathematical tools for supply chain optimization (Techniques d'optimisation logistique, code S5 math, for the Licence professionnelle MAGALI, LP students)
    Last version (pdf), support of 78 pages with more than 50 exercises, and 43 bibliography references; with 2 written archived tests, with detailled mark scale and detailled corrections. Description below.
    • linear programming (modelling, geometry (graphics resolution), simplex algorithm);
    • practice of optimization solvers;
    • statistics and time series (in particular, exponential smoothing and multiplicative models).


PEDAGOGICAL SUPPORTS A YEAR




Academic year 2018 / 2019

Responsible teacher (description of teaching units to be done...)

Academic year 2015 / 2016

Responsible teacher of the teaching unit M3207 (57 students) "Techniques quantitatives et recherche opérationnelle" ("Quantitative techniques and operations research", cf. description below),
lectures for second-year (DUT-2) students, University of de Perpignan Via Domitia (UPVD) (web link), September 2015 - January 2016.

  • Notes: course material with exercises (170 pages) (pdf),
    • Chapter 1: Operations research (main discussed subjects: graph theory and algorithms: spanning trees, shortest paths, maximum flows; linear programming: modelling, geometry, duality, simplex algorithm; sensitive analysis and scheduling),
    • Chapter 2: Probabilities and statistics (main discussed subjects: combinatorics; statistics; probabilities with discrete random variables and usual laws; probabilities with continuous random variables and usual laws; sampling theory and hypothesis tests).
  • Computer labs: practice of linear programming solvers.
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 6 interrogations and 2 exams,
    • interrogation 1: test statement (pdf) / test correction (pdf),
    • interrogation 2: test statement (pdf) / test correction (pdf),
    • interrogation 3: test statement (pdf) / test correction (pdf),
    • interrogation 4: test statement (pdf) / test correction (pdf),
    • interrogation 5: test statement (pdf) / test correction (pdf),
    • interrogation 6: test statement (pdf) / test correction (pdf),
    • exam 1: test statement (pdf) / test correction (pdf),
    • exam 2: test statement (pdf) / test correction (pdf).

Responsible teacher of the teaching unit mathématique LP MAGALI (31 students) "Outils mathématiques pour l'optimisation logistique" ("Mathematical tools for supply chain optimization", cf. description below),
lectures for third-year (LP) students, University of de Perpignan Via Domitia (UPVD) (web link), November 2015 - January 2016.

  • Notes: course material with exercises (60 pages) (pdf), main discussed subjects: linear programming: modelling, geometry, simplex algorithm; optimization solvers; statistics and time series (in particular, exponential smoothing and multiplicative models).
  • Computer labs: practice of linear programming solvers.
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 2 exams,
    • exam 1: test statement (pdf) / test correction (pdf),
    • exam 2: test statement (pdf) / test correction (pdf).

Responsible teacher of the teaching unit M2203 (59 students) "Mathématiques appliquées" ("Applied mathematics", cf. description below),
lectures for first-year (DUT-1) students, University of de Perpignan Via Domitia (UPVD) (web link), January - May 2016.

  • Notes: course material with exercises (102 pages) (pdf), main discussed subjects: combinatorics and discrete random variables; statistics and distributions with one and two dimensions; introduction to financial calculus.
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 2 interrogations and 1 exam,
    • interrogation 1: test statement (pdf) / test correction (pdf),
    • interrogation 2: test statement (pdf) / test correction (pdf),
    • exam 1: test statement (pdf) / test correction (pdf).


Academic year 2014 / 2015

Responsible teacher of the teaching unit M3207 (49 students) "Techniques quantitatives et recherche opérationnelle" ("Quantitative techniques and operations research", cf. description below),
lectures for second-year (DUT-2) students, University of de Perpignan Via Domitia (UPVD) (web link), October 2014 - January 2015.

  • Notes: course material with exercises (121 pages) (pdf),
    • Chapter 1: operations research (main discussed subjects: graph theory and algorithms: spanning trees, shortest paths, maximum flows; linear programming: modelling, geometry, duality, simplex algorithm; sensitive analysis and scheduling),
    • Chapter 2: Probabilities and statistics (main discussed subjects: combinatorics; statistics; probabilities with discrete random variables and usual laws; probabilities with continuous random variables and usual laws; sampling theory and hypothesis tests).
  • Computer labs: practice of linear programming solvers.
  • Training: assignemts to do at home (large amoount of exercises for each section).
  • Written evaluations: 6 interrogations and 2 exams,
    • interrogation 1: test statement (pdf) / test correction (pdf),
    • interrogation 2: test statement (pdf) / test correction (pdf),
    • interrogation 3: test statement (pdf) / test correction (pdf),
    • interrogation 4: test statement (pdf) / test correction (pdf),
    • interrogation 5: test statement (pdf) / test correction (pdf),
    • interrogation 6: test statement (pdf) / test correction (pdf),
    • exam 1: test statement (pdf) / test correction (pdf),
    • exam 2: test statement (pdf) / test correction (pdf).

Responsible teacher of the teaching unit mathématique LP MAGALI (33 students) "Outils mathématiques d'optimisation logistique" ("Mathematical tools for supply chain optimization", cf. description below),
lectures for third-year (LP) students, University of de Perpignan Via Domitia (UPVD) (web link), October 2014 - January 2015.

  • Notes: course material with exercises (35 pages) (pdf), main discussed subjects: linear programming: modelling, geometry, simplex algorithm; optimization solvers; statistics and time series (in particular, exponential smoothing and multiplicative models).
  • Computer labs: practice of linear programming solvers.
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 2 exams,
    • exam 1: test statement (pdf) / test correction (pdf),
    • exam 2: test statement (pdf) / test correction (pdf).

Responsible teacher of the teaching unit M2203 (63 students) "Mathématiques appliquées" ("Applied mathematics", cf. description below),
lectures for first-year (DUT-1) students, University of de Perpignan Via Domitia (UPVD) (web link), January - May 2015.

  • Notes: course material with exercises (56 pages) (pdf), main discussed subjects: combinatorics and discrete random variables; statistics and distributions with one and two dimensions; introduction to financial calculus.
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 3 interrogations and 1 exam,
    • interrogation 1: test statement (pdf) / test correction (pdf),
    • interrogation 2: test statement (pdf) / test correction (pdf),
    • interrogation 3: test statement (pdf) / test correction (pdf),
    • exam 1: test statement (pdf) / test correction (pdf).


Academic year 2013 / 2014

Responsible teacher of the teaching unit S3 mathématique (108 students) "Théorie des graphes et arithmétique modulaire" ("Graph theory and modular arithmetics", cf. description below),
lectures for second-year (DUT-2) students, University of Toulouse 3 Paul Sabatier (UT3) (web link), October - December 2013.

  • Notes: course material with exercises (35 pages) (pdf).
  • Chapter 1: Graph theory, by taking into account the interdisciplinary SMILE/EMILE project (web link), some parts are in English, other in French; whether it would be helpful, a mini-lexicon: French→English (2 pages) (pdf) / English→French (2 pages) (pdf); course material with exercises (18 pages) (pdf), main discussed subjects: simple graphs; connexity and planarity; spanning trees; transitive closure algorithms; shortest paths algorithms.
  • Chapter 2: modular arithmetics, course material with exercises (17 pages) (pdf) main discussed subjects: properties of the Euclidean division; extended Euclid's algorithm; Bézout's identity; congruences; Chinese remainder theorem; fast modular exponentiation; public-key cryptosystems.
  • Computer labs: practice of formel programming language (Maple).
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 2 exams,
    • exam 1: test statement (pdf) / test correction (pdf),
    • exam 2: test statement (pdf) / test correction (pdf).


Academic year 2012 / 2013

Assistant teacher for the teaching units:


  • "Probabilités et statistiques" ("Probabilities and statistics", responsible Prof. Dr. Emmanuel Paul), lectures for first-year (DUT-1) students, University of Toulouse 3 Paul Sabatier (UT3) (web link), January - April 2013.

  • "Théorie des graphes et arithmétique modulaire" ("Graph theory and modular arithmetics", responsible Prof. Dr. Emmanuel Paul), lectures for second-year (DUT-2) students, University of Toulouse 3 Paul Sabatier (UT3) (web link), October - December 2012.

  • "Algèbre linéaire et géométrie" ("Linear algebra and geometry", responsible HDR Dr. Jérôme Fehrenbach), lectures for second-year (DUT-2) students, University of Toulouse 3 Paul Sabatier (UT3) (web link), October 2012.


Academic year 2011 / 2012

Assistant teacher for the teaching units:


  • "Recherche opérationnelle" ("Operations research", responsible, Dr. Catherine Mancel), lectures for first-year (ÉNAC) engineers-students, the French University of civil aviation (ÉNAC, école nationale de l'aviation civile) (web link), May - June 2012.

  • "Algorithmique et langages de programmation" ("Algorithmics and programming languages", responsible Jean-Marc Vengut), lectures for first-year (ÉNAC) engineers-students, the French University of civil aviation (ÉNAC, école nationale de l'aviation civile) (web link), March - April 2012.

  • "Programmation en Matlab" ("Matlab programming", responsible Prof. Dr. Frédéric Messine), lectures for first-year (ÉNSÉÉIHT) engineers-students, École nationale supérieure d'électrotechnique, d'électronique, d'informatique et des télécommunications (ÉNSÉÉIHT) (web link), January 2012.


Other experiences within highschools teaching (by reverse chronological order)

Academic year 2017 / 2018

Responsible teacher, teaching unit (98 students) mathematics, program of "lycée", classes of "seconde générale" (cf. description below), lectures for "lycée" students, rectorate of Versailles, Hauts-de-Seine, lycée Albert Camus, Bois-Colombes, France (web link), March - July 2018

  • Notes: course material with exercises based on two lecture notes (Cours de mathématiques, classe de seconde, 2009-2010, 79 pages, from Thomas Rey; and Cours de mathématiques pour la classe de Seconde, 2014-2015, 89 pages, from Vincent Dujardin and Florent Girod) (pdf) (pdf),
  • Manuscript lecture notes (40 pages) (pdf),
  • Program et keys notions (in French):
    • Numerical Functions (main presented themas: domaine de définition, courbe représentative; image et antécédent(s); étude de signe; étude de variations et extrema; fonctions linéires, affines, polynomiales de degré deux, homographiques ou définies par morçeaux; fonction carré, fonction racine carrée, fonction cube, fonction inverse et fonction valeur absolue)
    • Geometry (2D and 3D) (main presented themas: distance entre deux points; milieu d'un segment; équations de droites; coefficient directeur et ordonnée à l'origine; perspectives cavalières; représentation de solides; plans de l'espace; formulaire, volume d'un prisme et volume d'une boule)
    • Vectors (main presented themas: translation; égalité de vecteurs; vecteurs et parallélogrammes; produit de vecteur par un scalaire, et homothétie; relation de Chasles; colinéarité de vecteurs; équations de vecteurs)
    • Probabilities and Statistics (main presented themas: distribution de fréquences et loi de probabilité; loi des grands nombres; modélisation; événement contraire; unions et intersections d'ensembles; formule de Henri Poincaré; effectifs et fréquences; graphiques; indicateurs de position; indicateurs de dispersion; simulation; estimation d'une proportion à partir d'un échantillon)
    • Trigonometry (main presented themas: la constante pi; cercle trigonométrique; angles en radians; fonction sinus; fonction cosinus; enroulement de la droite des réels; calculs modulo deux pi)
    • Algebra and Algorithms (main presented themas: modélisation; calcul littéral; factorisation et identités remarquables; résolution d'équations à une inconnue; résolution d'inéquations à une inconnue; systémes linéaires à deux équations et deux inconnues; interprétation géométrique; résolution de problèmes; introduction à l'algorithmique).
  • Training: assignments to do at home (large amount of exercises for each section).
  • Written evaluations: 1 exam and 4 interrogations,
    • Exam: test statement (pdf) / test correction (pdf),
    • Interrogation 1: test statement (pdf) / test correction (pdf),
    • Interrogation 2: test statement (pdf) / test correction (pdf),
    • Interrogation 3: test statement (pdf) / test correction (pdf),
    • Interrogation 4: test statement (pdf) / test correction (pdf).

Academic year 2016 / 2017

Co-founder and Responsible of the club of mathematics within collège Henri IV, rectorate of Paris, Paris.
coordinator Animath (web link) (institute Henri Poincaré (IHP) (lien web), CNRS-UPMC, 11 rue Pierre-et-Marie Curie, 5ième arrondissement, Paris, France) and Henri IV (web link) (23 rue Clovis, 5ième arrondissement, Paris, France), November 2016 - May 2017.
Management of human ressources, administrative and financial responsabilities; organization and lectures; openning and training thema in mathematics; two hours a week, 20 lectures, academic year 2016 / 2017.
  • Mathematics and the game of Hex (Loïc Cellier and Ugo Drieux);
  • Discrete mathematics and Eugène Charles Catalan's numbers (Loïc Cellier and Dr. Mickaël Launay);
  • Magic, permutations and topology (Loïc Cellier and Antoine Martin);
  • Mathematics and the game of Chess (Laurence Barbier and Loïc Cellier);
  • Geometry, isometry and graph theory (Loïc Cellier and Antoine Martin);
  • Non-commutativity, and homotheties (Ugo Drieux and Antoine Martin);
  • Algorithms, covering and recurrence (Loïc Cellier and Chloé Milsonneau);
  • Euclidiean geometry and problems (Loïc Cellier and Ugo Drieux);
  • Mathematics and the game of Nim (Loïc Cellier and Ugo Drieux);
  • Continuity and derivability (Ugo Drieux and Antoine Martin);
  • Theorem of intermediate values, search of zeros and algorithmic (Ugo Drieux and Antoine Martin);
  • Mathematics and the game of Fanorona (Saholi Andriambololo-nivo and Loïc Cellier);
  • Distances, unity balls and convergence (Ugo Drieux and Basile Morando);
  • Number theory and history of Srinirava Ramanujan (Loïc Cellier and Dr. Édouard Thomas);
  • Operations research (Loïc Cellier and Dr. Nicolas Dupin);
  • Geometry, polyhedra and regularity (Loïc Cellier and François Perrin);
  • Mathematics and the game of Chomp (Loïc Cellier and Antoine Martin);
  • Complex numbers (Loïc Cellier and CR. ÉNPC Dr. Vincent Leclère);
  • Artificial intelligence and the game of Go (Clément Béni and Loïc Cellier);
  • Geometry, sphere and Descartes-Euler's formula (Loïc Cellier and Dr. Mateusz Skomra).

Academic year 2007 / 2008

Assistant teacher, teaching units (76 students), mathematics, program of "collège", classes of "sixième, cinquième and troisième"; (responsible: Dr. Lwafi), three lectures have been done, within the framework of internship-project Initiation of Teaching Career, supervised by Dr. Caroline Bardini, University of Montpellier, March-April 2008
lectures for "collège" students, classes of "sixième, cinquième and troisième", rectorate of Montpellier, Hérault, collège Jeu de Mail, Montpellier, France (web link)