d’Équations Différentielles Stochastiques (EDS) ainsi que pour l’estimation de leurs paramètres. Cet aspect n’est pas abordé au cours de cette thèse. Le support de cours est le polycopié “Analyse réelle et complexe” de F. Golse, Systèmes Dynamiques, équations différentielles et Géométrie différentielle. Brioschi, F. Les invariants des équations différentielles linéaires. J.-A. Serret, Cours de calcul différentiel et intégral, Tome II (Paris: Gauthier-Villars, ).

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OEF subspace definitioncollection of exercices on the definition of subspace of vector spaces.

Graphic subsetsrecognize a graphically described subset. Factorisfactors integers and polynomials. Tayloralgebraic manipulations of Taylor expansions.

WIMS: WWW Interactive Multipurpose Server

OEF sequencescollection of exercises on infinite sequences. Quizz complexelementary questions on complex numbers. Limited derivativesfind the bound of a function having bounded derivative. Graphic complex inequalitiesrecognize a region of the complex plane described by inequalities.

Prog stringprogramming exercises on string processing. Basis choicefind a basis of a vector subspace within given vectors.


Exemples d’équations différentielles

Syntax of mathematical expressionshow to read, to write or to draw an expression. Coincidence Polyrootsfind a polynomial according to cousr positions of its roots. Two squaresdecompose an integer into sums of two squares. OEF integrales with parameterscollection of exercices on integrals depending on a parameter Hamming complementFind a maximum of binary words respecting a given Hamming distance.

Wcalcmulti-purpose single-step calculator usable in popup mode. OEF rectanglescollection of exercises on rectangles.

WWW Interactive Multipurpose Server

Graphic functionsrecognize the graph of f -x from that of f xetc. Quadratic choicerecognize the graph of a quadratic polynomial.

Linear solversolves your linear systems, including systems with parameters. Prog sum of integersprogramming exercises on summing a list of integers. Gravity shootclick on the gravity center of a given configuration. Coincidence-Polynomialfind a polynomial according to its curve. Lintersectfind the intersection of 2 lines, 2 planes, line and plane, etc.

Coincidence Freehandfind the best possible approximation of a given curve. OEF arccoscollection of exercises on inverse trigonometric functions. Animated sequencesanimated plot of a sequence series differenttielle functions. Coincidence sequencefind a sequence from partial informations and via successive tests.

Please pay attention to flush you Browser cache to enjoy this new version! Polynomial sweepgraphs and roots of a polynomial, with animated deformation.


Brioschi : Les invariants des équations différentielles linéaires

Epsilonon the definition of continuity: Coincidence Paramfind the best approximation of a parametric curve. OEF vector space definitioncollection of exercices on the definition of vector spaces.

OEF linear systemscollection of exercises on linear systems. Prime congruence basefind a prime for the base of a congruence relation. OEF physical integralcollection of exercises on physical applications of definite integrals of one variable.

Primessearching for primes in different ways. OEF vector spacescollection of eqjation on vector spaces. Bar gamesimple step game, play against the server. Varicodefind a code with given word lengths. OEF combinatoricscollection of numerical exercises on combinatorics.

Inequality zonedetermine an inequality for variables in a given zone.

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